Find the value of x in the triangle shown below.
X=
4.5
56°
4
4

Find The Value Of X In The Triangle Shown Below.X=4.55644X

Answers

Answer 1

Answer:

68.9 degrees

Step-by-step explanation:

To find this we can use the rule of sines.

It states [tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]

We will use 56 degrees and its complementary measurement, which is discovered by observing the opposite side from the angle, which is 4. Then, we will find the side that compliments x, which is 4.5. Then we can plug those values into the rule of sines.

[tex]\frac{sin56}{4}=\frac{Sinx}{4.5}[/tex]

Then, we want to get Sin x by itself.

[tex]\frac{sin56}{4}*4.5=sinx[/tex]

Then, we can solve for sin x.

[tex]0.932667269124=sinx[/tex]

finally, we need to take the inverse of sin to find our solution.

[tex]sin^{-1} (0.932667269124)=sin^-^1(sinx)\\x=68.85\\[/tex]

Which can be rounded to 68.9.


Related Questions

A quadratic function has x-intercepts at -7 and 1. The vertex of the function is at (-3, 16). What is the equation of the function?
A. f(x) = x^2 + 6x -7
B. f(x) = -x^2 - 6x+ 7
C. 7(x)=x^2 - 6x + 7
D. f(x)=-x^2 + 6x -7

Answers

Answer is A. f(x) = x^2 + 6x -7

Explanation

The x intercepts of -7 and 1 on a graph mean
( x + 7) (x - 1)

Because x= -7, to make this equal zero we add 7 to both sides

x +7 = -7 + 7
x + 7 = 0

Same with x = 1

x = 1
x -1 = 1 - 1
x - 1 = 0

Distribute Multiply ( x + 7) ( x - 1 )

x^2 + 7x -1x -7
Simplify

x^2 +6x -7 is your equation

[tex]f(x) = x^2 + 6x - 7[/tex] is the equation of the function.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

To find the equation of the quadratic function, we need to use the vertex form of the equation:

[tex]f(x) = a(x - h)^2 + k[/tex]

where (h, k) is the vertex of the parabola.

We know that the vertex is (-3, 16), so h = -3 and k = 16. We also know that the x-intercepts are at -7 and 1, which means that the factors of the quadratic function are (x + 7) and (x - 1).

To find the value of 'a', we can use either of the x-intercepts:

[tex]f(-7) = a(-7 + 3)^2 + 16 = 0\\\\16a = 16\\\\a = 1[/tex]

Therefore, the equation of the quadratic function is:

[tex]f(x) = (x + 7)(x - 1)\\\\f(x) = x^2 + 6x - 7[/tex]

So the answer is (A)[tex]f(x) = x^2 + 6x - 7[/tex].

Learn more about function here:

https://brainly.com/question/29633660

#SPJ2

which is not a function and what is a function

Answers

Answers

1. No
2. No
3. Yes
4. No
5. Yes
6. Yes

Explanation - I used the vertical line test to prove if these were a function or not. If the line connects to 2 or more dots then there are 2 or more outputs for every input, so not a function. Note that number 3 has open circles which means the line is more than or less than but not equal to, so that open dot is not a dot so it still passes the vertical line test.

Write the equation of the line that passes through the points (−9,1) and (−6,−1). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answers

To find the equation of the line that passes through the points (-9, 1) and (-6, -1), we first need to find the slope of the line using the slope formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-9, 1) and (x2, y2) = (-6, -1)

slope = (-1 - 1) / (-6 - (-9))
slope = (-2) / 3
slope = -2/3

Now, we can use the point-slope form of the equation of a line to find the equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is one of the given points.

Using the point (-9, 1), we get:

y - 1 = (-2/3)(x - (-9))
y - 1 = (-2/3)(x + 9)

This is the equation of the line in point-slope form. We can simplify it further by distributing the -2/3:

y - 1 = (-2/3)x - 6
y = (-2/3)x - 5

So the equation of the line that passes through the points (-9, 1) and (-6, -1) is y = (-2/3)x - 5.

Write the trigonometric ratio as a simplified fraction.
10. sin B
C9
A
C
6
15 C
B
11. cos A
12. tan A
10.
11.
12.

Answers

The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

How to determine the ratios

It is important to note that there are six different trigonometric identities and their ratios.

We have;

sine cosinetangentcotangentsecantcosecant

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

Learn about trigonometric ratios at: https://brainly.com/question/24349828

#SPJ1

The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

How to determine the ratios

It is important to note that there are six different trigonometric identities and their ratios.

We have;

sine cosinetangentcotangentsecantcosecant

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

Learn about trigonometric ratios at: https://brainly.com/question/24349828

#SPJ1

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

Answers

Answer:

  see attached

Step-by-step explanation:

You want the 2-way table filled based on the descriptions of its contents.

Total

The total number of students surveyed (240) goes in blank 9, where row and column headings are both "Total".

35%

The number 35% × 240 = 84 goes in blank 7, the total number interested in athletics.

3/5

The number 3/5 × 240 = 144 goes in blank 3, the total number interested in academic clubs.

26

The number 26 goes in blank 1, which is in row 1 (interested in academic clubs) and in column 1 (interested in athletics). It is the number interested in both.

Differences

Blank 2 is the difference between blank 3 and blank 1. It makes the total for the line be correct.

Blank 4 is the difference between blank 7 and blank 1. It makes the total for the column be correct.

Similarly, blanks 8 and 6 are differences that make the row and column totals (respectively) be correct.

Finally, blank 5 is the value that makes its row and column totals be correct. The fact that the one number makes two correct totals gives you a check on that number.

The filled table is shown in the first attachment. The calculations are shown in the second attachment.

Measure the lengths of the following segments in inches.
A.
Length of : __________ in.
B.
Length of : __________ in.
9. Measure the lengths of the following segments in BOTH centimeters and
millimeters. (2 points each)
A.
Length of : __________ cm

Length of : __________ mm
B.
Length of : __________ cm
Length of : __________ mm

Answers

Answer:

is the answer A????????????

to be honest I’m only here for the answers but I also need the points

All four of these inequalities are true. Use them to find the single whole-number value of g. Use that whole number to unlock the door. Your answer g>0 g≤100 4 5.5 is greater than g?​

Answers

Yes, 5.5 is greater than g.

To find the value of g, we need to use the inequalities given. Since g>0 and g≤100, we know that g must be a whole number between 1 and 100.

The other two inequalities are not useful for finding g, so we can ignore them.

We don't know what value of g is, but we do know that 5.5 is greater than g. This means that g must be less than 5.5.

The only whole number between 1 and 100 that is less than 5.5 is 5.

So the value of g is 5, and that is the whole number you can use to unlock the door.

*Time limit help*

Tell me the domain and range
Tell me if the graph is a function or not.
Pick the right answer choice

A. Yes
B. No
C. -2<=x<=6
D. x>=-2
E. All real number
F. x<=6
G. -6<=y<=2
H. y>=-6
I. y<=2
J. y<=6

Answers

Examining the graph it can be deduced that

The domain is

C. -2<=x<=6

The range is

G. -6<=y<=2

The graph is not a function

How to tell if a graph is a function

To qualify as a function, any input (x-value) of a graph must be linked to a single output (y-value). Therefore, each x-value ought to have one and only one y-value that matches it.

A method for identifying whether or not a given graph is representative of a function is by conducting a vertical line test. To achieve this, vertically draw lines through the graph. When every vertical line hits the graph at just one point, then the illustration aptly presents a function. Conversely, if the graph forms multiple intersection points with any vertical line, it isn't classified as a functional representation.

Learn more about functions

https://brainly.com/question/11624077

#SPJ1

Pls help me by 11 pm

Answers

Answer:

Surface Area = 2×(3.5×10 + 3.5×8 + 10×8) = 286 feet

Step-by-step explanation:
First, multiply 3.5 by 10 (35)
Secondly, multiply 3.5 by 8 (28)
Then, multiply 10 by 8 (80)
Next, add all the values together (143)
And lastly, multiply 143 by 2 (286)

Please turn this into your own work, (By making it look like it's worked out) since they can catch you for Plagiarism.

17. La inscripción en una clase de negocios disminuyó de 25 a 15 estudiantes. ¿Cuál fue el porcentaje de disminución en la inscripción ​

Answers

Answer:

40%

Step-by-step explanation:

The figure shows an isosceles right triangle. What is the length of the hypotenuse? Show your work.

Answers

The length of the hypotenuse is 4√2.

What is the Pythagoras theorem?

A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem or Pythagoras' theorem. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides.

Here, we have

Given: base = 4

perpendicular = 4

We have to find the length of the hypotenuse.

We apply here Pythagoras theorem and we get

b² + p² = h²

(4)² + (4)² = h²

16 + 16 =  h²

32 =  h²

h = 4√2

Hence, the length of the hypotenuse is 4√2.

To learn more about the Pythagoras theorem from the given link

https://brainly.com/question/31146786

#SPJ1

75 minutes after 8:15

Answers

75 minutes after 8:15 would be 9:30.

Here's how I got that answer:

- Add 60 minutes to 8:15 to get 9:15.
- Add another 15 minutes to 9:15 to get 9:30.

So, 75 minutes after 8:15 is 9:30.

Assume a corporation has earnings before depreciation and taxes of $110,000, deprecation of $48,000, and that is has a 30 percent tax bracket.

A. Compute it's cash flow using the following format.
Earnings before depreciation and taxes?
Depreciation?
Earnings before taxes?
Taxes?
Earnings after taxes?
Depreciation?
Cash flow?

B. How much would cash flow be if there were only $16,000 in depreciation? All other factors are the same.

Cash flow?

C. How much cash flow is lost due to the reduced depreciation from $48,000 to $16,000?

Cash flow lost?

Answers

A. The cash flow would be $91,400 if the depreciation were $48,000.

B. The cash flow would be $81,800 if the depreciation were $16,000.

C. The lost cash flow due to the reduced depreciation from $48,000 to $16,000 is $9,600.

How cash flow interacts with depreciation:

A) Depreciation of $48,000:

Earnings before depreciation and taxes = $110,000

Depreciation = $48,000

Earnings before taxes = $62,000 ($110,000 - $48,000)

Taxes (30%) = $18,600 ($62,000 x 30%)

Earnings after taxes =  $43,400 ($62,000 - $18,600)

Depreciation $48,000

Cash flow = $91,400 ($43,400 + $48,000)

B) Depreciation of $16,000:

Earnings before depreciation and taxes = $110,000

Depreciation = $16,000

Earnings before taxes = $94,000 ($110,000 - $16,000)

Taxes (30%) = $28,200 ($94,000 x 30%)

Earnings after taxes =  $65,800 ($94,000 - $28,200)

Depreciation $16,000

Cash flow = $81,800 ($65,800 + $16,000)

C) Lost Cash Flow:

Cash flow at $48,000 depreciation = $91,400

Cash flow at $16,000 depreciation = $81,800

Lost cash flow = $9,600 ($91,400 - $81,800)

Thus, we can learn that reduced depreciation increases the tax liability, thereby reducing the cash flow.

Learn more about cash flow and depreciation at https://brainly.com/question/30479366.

#SPJ1

A. The cash flow would be $91,400 if the depreciation were $48,000.

B. The cash flow would be $81,800 if the depreciation were $16,000.

C. The lost cash flow due to the reduced depreciation from $48,000 to $16,000 is $9,600.

How cash flow interacts with depreciation:

A) Depreciation of $48,000:

Earnings before depreciation and taxes = $110,000

Depreciation = $48,000

Earnings before taxes = $62,000 ($110,000 - $48,000)

Taxes (30%) = $18,600 ($62,000 x 30%)

Earnings after taxes =  $43,400 ($62,000 - $18,600)

Depreciation $48,000

Cash flow = $91,400 ($43,400 + $48,000)

B) Depreciation of $16,000:

Earnings before depreciation and taxes = $110,000

Depreciation = $16,000

Earnings before taxes = $94,000 ($110,000 - $16,000)

Taxes (30%) = $28,200 ($94,000 x 30%)

Earnings after taxes =  $65,800 ($94,000 - $28,200)

Depreciation $16,000

Cash flow = $81,800 ($65,800 + $16,000)

C) Lost Cash Flow:

Cash flow at $48,000 depreciation = $91,400

Cash flow at $16,000 depreciation = $81,800

Lost cash flow = $9,600 ($91,400 - $81,800)

Thus, we can learn that reduced depreciation increases the tax liability, thereby reducing the cash flow.

Learn more about cash flow and depreciation at https://brainly.com/question/30479366.

#SPJ1

Some sources report that the weights of​ full-term newborn babies in a certain town have a mean of pounds and a standard deviation of pounds and are Normally distributed.

a. What is the probability that one newborn baby will have a weight within pounds of the meanthat ​is, between and ​pounds, or within one standard deviation of the​ mean?

b. What is the probability that the average of ​babies' weights will be within pounds of the​ mean; will be between and ​pounds?

c. Explain the difference between​ (a) and​ (b).


the screenshot is below

Answers

Answer:

Step-by-step explanation:

A

suppose tire pressure is normally a distribution random variable with a standard deviation equal to 3 psi. if the car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? round to 4 decimal places ​

Answers

The probability of the TPMS triggering a warning is 0.0198 or about 0.02, rounded to four decimal places.

What is a probability?

It is used to predict and estimate the likelihood of future events and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Let's assume that the tire pressure follows a normal distribution with a mean of 32 psi and a standard deviation of 3 psi.

Let's also assume that the TPMS warning is triggered when the tire pressure falls below 25 psi or rises above 39 psi.

Using a standard normal distribution table or calculator, we can find the z-scores corresponding to 25 psi and 39 psi:

z₁ = (25 - 32) / 3 = -2.3333

z₂ = (39 - 32) / 3 = 2.3333

Then, we can find the probabilities associated with these z-scores:

P (z < -2.3333) = 0.0099

P (z > 2.3333) = 0.0099

The total probability of the TPMS triggering a warning is the sum of these two probabilities:

P(TPMS warning) = P(z < -2.3333) + P(z > 2.3333) = 0.0099 + 0.0099 = 0.0198

Therefore, the probability of the TPMS triggering a warning is 0.0198 or about 0.02, rounded to four decimal places.

To know more about probability, visit:

https://brainly.com/question/13604758

#SPJ1

-12x to the power of 3 y to the power of 8

Answers

The mathematical expression is -12x³[tex]y^8[/tex].

We have,

-12x to the power of 3 y to the power of 8

Now, writing the mathematical expression

-12x to the power of 3  = -12x³

and, y to the power of 8 = [tex]y^8[/tex]

So, the expression can be written as

= -12x³[tex]y^8[/tex]

Learn more about Exponents and power here:

https://brainly.com/question/15722035

#SPJ1

Which of the following is the solution to the system of linear equations graphed below?

Answers

The solution to the system of linear equations graphed below is (3, -1).

Given are two graphs of linear equations.

The solution of a system of linear equations can be solved either numerically or graphically.

In the graphical method, the solution of a system of linear equations is the point where all the lines intersect.

Here the lines of both the equations intersect at (3, -1).

This means that the intersecting point is (3, -1).

Solution is (3, -1).

Hence the required solution is (3, -1).

Learn more about System of Equations here :

https://brainly.com/question/29089379

#SPJ1

reflect the figure over the line y= -2x - 1

Answers

The reflection of the figure over y = -2x - 1 is attached accordingly.

What is reflection in math?

A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a fixed point set; this set is known as the axis or plane of reflection.

Because the line of reflection has a slope of -1/2, each image point will be on a line with a slope of 2 that passes through the associated pre-image point.

It might be simplest to count the grid squares between the pre-image point and the line, then from the line to the image point's location. Those measurements will be the same.

The second attachment shows the mirrored image.

Learn more about reflection:
https://brainly.com/question/30270479
#SPJ1

In parallelogram NPQR if RS=19 find SP.

Answers

Answer:

SP = 19

Step-by-step explanation:

the diagonals of a parallelogram bisect each other, then

SP = RS = 19

I need help with this ?

Answers

The solution of the equation is [tex]z = \frac{[-9 \±9\sqrt{3 i}]}{2}[/tex]

Given is an equation, [tex]\frac{1}{z+9} -\frac{1}{z} = \frac{1}{9}[/tex], we need to solve it,

[tex]\frac{1}{z+9} -\frac{1}{z} = \frac{1}{9}[/tex]

[tex]\frac{z-(z+9)}{z(z+9)} = \frac{1}{9}[/tex]

[tex]\frac{-9}{z^2+9z} =\frac{1}{9}[/tex]

[tex]z^2+9z = -81\\\\z^2+9z+81 = 0[/tex]

Using the quadratic formula,

[tex]x = \frac{[-b \±\sqrt{(b^2-4ac)}]}{2a}[/tex]

here, a = 1, b = 9 and c = 81.

So,

[tex]z = \frac{[-9 \±\sqrt{(81-4(81))}]}{2}\\\\z = \frac{[-9 \±\sqrt{(-243)}]}{2}\\\\\\\\\z[/tex]

[tex]z = \frac{[-9 \±9\sqrt{3 i}]}{2}[/tex]

Hence, the solution of the equation is [tex]z = \frac{[-9 \±9\sqrt{3 i}]}{2}[/tex]

Learn more about quadratic formula, click;

https://brainly.com/question/2615966

#SPJ1

PLS HELP I NEED ASAP PLS

Answers

The number of volumes of the encyclopedia on the bottom shelf is given as follows:

H) 19.

How to obtain the number of volumes of the encyclopedia?

The number of volumes of the encyclopedia on the bottom shelf obtained as the subtraction between the highest number and the lowest number identifying the numbers, adding one.

We add one as the amount of numbers between n and n + 1, inclusive, is of n + 2. For example, between 12 and 13, we have two numbers.

Then the number of volumes of the encyclopedia on the bottom shelf is given as follows:7

30 - 12 + 1 = 19.

More can be learned about the subtraction between two amounts at https://brainly.com/question/17301989

#SPJ1

how do i work out 320.041 - 47.96

Answers

To subtract 47.96 from 320.041, you can align the decimal points and then subtract each digit from right to left.

First, write the numbers with the decimal points aligned:

320.041

- 47.960

Next, subtract the digits in the ones place, which is 1 minus 0, resulting in 1. Then, subtract the digits in the tenths place, which is 4 minus 6. Since 4 is less than 6, you need to borrow 1 from the digit to the left, making the 2 into a 1 and adding 10 to the 4, giving you 14. So, 14 minus 6 equals 8.

Continue subtracting each digit in the same way:

   320.041

-   47.960

= 272.081

Therefore, 320.041 minus 47.96 is equal to 272.081.

To learn more about subtraction click on,

https://brainly.com/question/2346316

#SPJ1

What are the values of s and t?

Answers

S-62 degrees

T-76 degrees

Step-by-step explanation:

IJ and KJ are congruent, so s would have the same measurement as I.

You would simply subtract from both s and i to get t.


Consider a football team with a 13
-game schedule. Each game ends with a win (W), a loss (L), or a tie (T). Once the schedule is set, how many ways can the schedule end with 9
wins, 3
losses, and 1
ties?

Answers

Answer:

Step-by-step explanation:

To find the answer, we can use the formula for combinations:

nCr = n! / r!(n-r)!

where n is the total number of games, r is the number of losses, and n-r-1 is the number of ties (since we already know there are 9 wins).

Substituting the values, we get:

13C3 * 10C1

= (13! / 3!10!) * (10! / 1!9!)

= (13*12*11 / 3*2*1) * 10

= 2860

Therefore, there are 2860 ways the schedule can end with 9 wins, 3 losses, and 1 tie.

1. Determine the slope of a line given the table.
X
y
1
3
56
6
9
9
13
12

Answers

The slope of a line given the table is equal to 0.

How to calculate or determine the slope of a line?

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the slope formula, we have the following;

Slope (m) = (9 - 9)/(3 - 1)

Slope (m) = 0/2

Slope (m) = 0.

Based on the table, the slope is the change in y-axis with respect to the x-axis and it is equal to 0.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Rick has earned a total of 581 points on all of his science test. His overall test average mean is 83. How many tests has Rick taken? PLEASE I NEED URGENT HELP

Answers

The number of tests Rick has taken are 7.

What is average?

The average of given numbers is equal to the sum of all the values divided by the total number of values. It  generally refers to a measure of central tendency or the typical value within a set of data points.

Define mean?

The mean, or arithmetic mean, is the most commonly used type of average. It is calculated by adding up all the values in a data set and dividing by the total number of data points. Mathematically, the mean is represented as:

Mean = (Sum of all values) / (Total number of data points)

Based on the given conditions, formulate:

581/83 =7

Learn more about central tendency here:

https://brainly.com/question/30218735

#SPJ1

Verify the following identity. To transform the left side into the right side, should be changed to and the left side simplified.

Answers

To transform the left-hand side of the given identity "1 + cos(2x)" into the right-hand side "[tex]2cos^2(x)[/tex]", the expression "1" should be changed to "[tex]2sin^2(x)[/tex]" and the left-hand side should be simplified.

What is the meaning of trignometric identities?

Trigonometric identities are mathematical equations that may be used to express trigonometric functions. These identities, which are also used to solve trigonometric equations, can be utilised to simplify and manage trigonometric expressions.

Trigonometric identities, which are derived from the geometric properties of triangles and the unit circle, provide a way to describe trigonometric functions in terms of other trigonometric functions or constants. In many areas of mathematics, physics, engineering, and other fields where trigonometry is used, they are commonly used.

Replacing  "1" with "[tex]2sin^2(x)[/tex]".

[tex]1 + cos(2x) -- > 2sin^2(x) + cos(2x)[/tex]

Using the double angle formula for cosine

The double angle formula for cosine is: cos(2x) = [tex]2cos^2(x) - 1[/tex]

Substitute the double angle formula into the expression for cos(2x) on the left-hand side.

[tex]2sin^2(x) + cos(2x) -- > 2sin^2(x) + (2cos^2(x) - 1)[/tex]  [Substitute cos(2x) with [tex]2cos^2(x) - 1[/tex]]

Simplify the expression on the left-hand side.

[tex]2sin^2(x) + (2cos^2(x) - 1) -- > 2sin^2(x) + 2cos^2(x) - 1[/tex] [Simplify using distributive property]

[tex]2sin^2(x) + 2cos^2(x) - 1 -- > 2(sin^2(x) + cos^2(x)) - 1[/tex] [Apply trigonometric identity [tex]sin^2(x) + cos^2(x) = 1[/tex]]

[tex]2(sin^2(x) + cos^2(x)) - 1 -- > 2(1) - 1[/tex] [Substitute [tex]sin^2(x) + cos^2(x)[/tex]with 1]

[tex]2(1) - 1 -- > 2 - 1\\2 - 1 -- > 1[/tex]

So, following simplification, the left-hand side equation "1 + cos(2x)" may be changed into "1." As a result, "1" in the equation needs to be altered to "2sin(x)" and the left side should be simplified to "1".

Learn more about Trignometric identities here:

https://brainly.com/question/29024806

#SPJ1

an industrial comp machine has the ability to reduce image dimensions by a certain percentage each time it copies. A design began with a length of 16 inches, represented by the point (0,16). after going through the comp machine once, the length is 12, represented by the point (1,12). Enter the correct answer in the box by replacing the values of a and b. f(x)=a(b)^x

Answers

Answer:

f(x) = 16*0.75^x

Step-by-step explanation:

first off let's use this coordinate (the one given) :

(0,16)

let's substitute this into the equation with x being 0 and f(x) being 16

16 = a*b^0

*anything to the power of 0 is 1*

so:

a = 16

now use the second coordinate :

(1,12)

and do the same by substituting 1 for x and 12 for f(x), we also know what 'a' is:

12 = 16*b^1

12 = 16 * b

b = 3/4

so :

f(x) = 16*0.75^x

7cm 5cm 10cm what is the total surface area of the figure and what is the volume of the figure. figure.​

Answers

The total surface area of the cuboid with 7cm,5cm, and 10cm as dimensions is 310 square. cm and the volume is 350 cubic. cm.

Given dimensions of the figure are 7cm,5cm, and 10cm.

Length = 7cm.

Width = 5cm.

Height = 10cm.

The surface area of the cuboid = 2(lw+wh+lh).

Now, let us substitute the given values in the above formula.

2(7*5+5*10+7*10)

2(35+50+70)

2(155) = 310.

Therefore, the surface area of the figure is 310 square. cm.

Now, we have to find the volume of the figure.

Volume = Length x Width x Height.

Volume = 7*5*10

Volume = 350.

Therefore, the volume of the figure is 350 cubic. cm.

To know more about Cuboid, click on: https://brainly.com/question/46030

What are all of the solutions to the trigonometric equation 2 cos²0-2sin²0= √3?

Answers

The solutions to the trigonometric equation 2 cos²0-2sin²0= √3 is option C.

What is a trigonometric equation?

It should be noted that a trigonometric equation is one that contains a trigonometric function with a variable. For example, sin x + 2 = 1 is an example of a trigonometric equation.

The equations can be something as simple as this or more complex like sin2 x – 2 cos x – 2 = 0.

In this case, solutions to the trigonometric equation 2 cos²0-2sin²0= √3 is π/12 + πn and 11x/12 + πn

The correct option is C.

Learn more about trigonometry on

https://brainly.com/question/24349828

#SPJ1

Other Questions
if a buffer solution is 0.190 m in a weak base ( b=6.8105) and 0.530 m in its conjugate acid, what is the ph? You have 36 liters of fuel and just added 4,000 milliliters more. How many hectoliters of fuel do you have? Find the square of the length of the diagonal across the bottom of the box The water vapor feedback loop acts as it does because:a. water vapor is a greenhouse gas and an increase in temperature means that the air can hold more water vaporb. an increase in temperature will cause it to rain more, and the atmosphere will lose water vapor.c. water vapor is a greenhouse gas and an increase in temperature means that more clouds will formd. an increase in temperature causes more weathering to occur, removing CO2 fr zyDE 7.16.1: Insert in sorted order.Run the program and observe the output to be: 55 4 250 19. Modify the numsInsert function to insert each item in sorted order. The new program should output: 4 19 55 250#include #include using namespace std;void numsInsert(vector& numsList, int newNum) {unsigned int i;for (i = 0; i < numsList.size(); ++i) {if (newNum < numsList.at(i)) {// FIXME: insert newNum at element ibreak; // Exits the for loop}}// FIXME: change so executes if higher number NOT found// Change "true" to "i == ??" (determine what ?? should be)if (true) { // No higher number was found, so append to endnumsList.push_back(newNum);}}void numsPrint(const vector& numsList) {unsigned int i;for (i = 0; i < numsList.size(); ++i) {cout when a student mixes 50 ml of 1.0 M HCL and 50 ml of 1.0M NaOH in a coffee-cup calorimeter, the temperature of the resultant solution increases from 21.0 C to 27.5 C. Calculate the enthalpy change for the reaction in kJ/mol HCL. For this problem, assume that the calorimeter loses only a negligible quantity of heat, the total volume of the solution is 100 ml, the density of the solution is 1.0 g/ml, and its specific heat is 4.18 J/g-K. Careful planning must be used with technology, otherwise there will be a(n) _____ in productivity.Multiple Choiceimprovementstalematereductionvirusincrease The royal fruit company produces 2 types of drinks. The first type is 35% pure fruit juice,and the second type is 85%pure fruit juice. The company is attempting to produce a fruit drink that contains 75% pure fruit juice. How many pints of each of the two existing type of drink must be used to make 150pints of a mixture that is 75% pure fruit juice why is benzophenone less polar than benzhydrol solve the given differential equation. (the form of yp is given.) show your work in clear and concise steps. put a box around your final answer. y'' - y = x2 3 (let yp = ax2 bx c.) Recommend ONE practical strategy that could be implemented to ensure the effectiveness of the campaigns. Indicate how strategy may contribute to the success of the campaign. if a flexible copper cable has 133 strands, each 5.63 mils in diamteter, what is the size of the cable in circular mils A heat engine supposedly receives 500 kJ/s of heat from an 1100-K source and rejects 300 kJ/s to a low-temperature sink at 300 K. a. Is this possible or impossible? b. What would be the net rate of change of entropy for this system? What is the pressure of air (lb/ft2) on a standard day at 20,000 ft?972 lb/ft22116 lb/ft214.7 lb/ft24608 lb/ft2 describe the given set with a single equation or with a pair of equations. the circle of radius centered at and lying in a. the xy-plane b. the yz-plane c. the plane y determine the smallest force p that must be applied in order to cause the 150-lb uniform crate to move. the coefficent of static friction between the crate and the floor is ms = 0.5. A 1 MHz uniform current flows in a vertical antenna of length 15 m. The antenna is made of copper wire with radius of 2 cm. Find (a) Radiation resistance (b) Radiation efficiency (c) Maximum electric field intensity at a distance of 20 km if the radiated power of the antenna is 1.6 kW.Previous question 1) Discuss the role of assumptions that decision makers must consider when relying on CVP analysis.2) Why and how do managers simplify analyses for achieving a given level of profit with two products or services.3) Present the profit equation and define all of the terms. Policyholders of a certain insurance company have accidents at times distributed according to a Poisson process with rate . The amount of time from when the accident occurs until a claim is made has distribution G.(a) Find the probability there are exactly n incurred but as yet unreported claims at time t.(b) Suppose that each claim amount has distribution F, and that the claim amount is independent of the time that it takes to report the claim. Find the expected value of the sum of all incurred but as yet unreported claims at time t. The glomerulus of the kidney consists of (Click to select) capillaries. (Click to select) continuous fenestrated