Answers
Answer: B. 5/13
This is the same as writing [tex]\frac{5}{13}[/tex]
==========================================================
Reason:
We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.
a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse
[tex]a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+12^2}\\\\c = \sqrt{25+144}\\\\c = \sqrt{169}\\\\c = 13\\\\[/tex]
The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.
Now we can compute sine of theta
[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{5}{13}\\\\[/tex]
This points us to choice B as the final answer.
----------------
Extra Info (optional)
5/12 is the value of tan(theta) since it's opposite/adjacent12/5 is the value of cot(theta), the reciprocal of tangent12/13 is the value of cos(theta), because cos = adjacent/hypotenuseRelated Questions
A bicycle company is designing women's bicycle frames. The frames can accommodate any woman taller than 54.5 inches. Given that the heights of adult American women are normally distributed, with a mean of 65 inches and a standard deviation of 3.5 inches, what percentage of American women CANNOT use the bicycles designed by this company
Answers
Using the normal distribution, it is found that 0.13% of American women CAN NOT use the bicycles designed by this company.
What is Normal Probability Distribution?The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean.Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 65\ \ \sigma= 3.5[/tex]
The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
[tex]z = \dfrac{54.5-65}{3.5}[/tex]
Z = -3
Z = -3 has a p-value of 0.0013.
0.0013 = 0.13% of American women CAN NOT use the bicycles designed by this company.
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9(w – 4) – 7w = 5(3w – 2)
Answers
Answer:
-2 =w
Step-by-step explanation:
9(w – 4) – 7w = 5(3w – 2)
The first step is to distribute
9w -36 - 7w = 15w -10
Combine like terms
2w -36 = 15w -10
Subtract 2w from each side
2w -36 -2w = 15w-10-2w
-36 = 13w -10
Add 10 to each side
-36+10 =13w-10+1-
-26 = 13w
Divide by 13
-26/13 =13w/13
-2 =w
5 pts
Question 5
A model rocket is launched 25 feet from you. When the rocket is at height h, the
distance d between you and the rocket is given by d = √216 +h2 where h and d
are measured in feet. What is the rocket's height when the distance between you and
the rocket is 100 feet? Round to 3 decimal places
Question 6
5 pts
Answers
The rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet
How to determine the rock's height?The function is given as:
d = √216 +h²
At a distance of 100 feet, it means that:
d = 100
So, we have:
√216 +h² = 100
Take the square of both sides
216 +h² = 10000
Subtract 216 from both sides
h²= 9784
Take the square root of both sides
h = 98.9
Hence, the rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet
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6. Use the following diagram to solve for x:
Please explain.
Answers
Answer:
26
Step-by-step explanation:
Angles that form a linear pair are supplementary, and thus have measures that add to 180 degrees.
4x+3+2x+21=180
6x+24=180
6x=156
x=26
{d(1) = 2.7 d(n) = d(n-1) x (6.1) find the explicit formula for d(n)
d(n) = ?
Answers
The explicit formula of the function d(n) is [tex]d(n) = 2.7 * 6.1^{n-1[/tex]
How to determine the explicit formula?The function is given as:
d(1) = 2.7
d(n) = d(n-1) x (6.1)
The above means that the function is an exponential function, and it has the following parameters:
First term, d(1) = 2.7
Common ratio, r = 6.1
The explicit formula of an exponential function is:
[tex]d(n) = d(1) * r^{n-1[/tex]
So, we have
[tex]d(n) = 2.7 * 6.1^{n-1[/tex]
Hence, the explicit formula of d(n) is [tex]d(n) = 2.7 * 6.1^{n-1[/tex]
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After 8 years, how much will brandon have saved in interest by consolidating the two balances? a. $581.76 b. $194.40 c. $256.32 d. $325.44
Answers
Answer:
C
Step-by-step explanation:
Use the equation of y = 1.5x +5 to predict the amount of milk needed for a 17-pound goat and a 55-pound goat
Answers
The amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively
How to determine the amount of milk?The equation is given as:
y =1.5x + 5
For a 17-pound goat, we have:
x = 17
This gives
y =1.5 * 17 + 5
y = 30.5
For a 55-pound goat, we have:
x = 55
This gives
y = 1.5 * 55 + 5
y = 87.5
Hence, the amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively
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help i need answers now please thank u if u helped giving brainliest btw
Answers
Answer:
[tex]7\frac{1}{6}[/tex]
Step-by-step explanation:
→ Convert all fractions to improper fractions
[tex]\frac{27}{6} +\frac{8}{3}[/tex]
→ Make both of the numerators the same
[tex]\frac{27}{6} +\frac{16}{6}[/tex]
→ Add
[tex]\frac{43}{6}[/tex]
→ Convert to mixed fraction
[tex]7\frac{1}{6}[/tex]
Please help me with this?.
Answers
Answer:
slope: -3
y-intercept: -2
equation: -3x-2
y intercept is the value of y at x=0
slope is how many units the graph moves per x
equation is (slope)x+(y-intercept)
30 points + brainliest for answer: Explain how you can determine which angle of a scalene triangle is the largest and which is the smallest.
Answers
The size of the scalene triangle would be larger or smaller
The bearing of point B from point A is 043°. Find the bearing of point A from point B.
Answers
The bearing of point A from point B is 223°.
We have given that,
The bearing of point B from point A is 043°.
We have to determine the bearing angle,
Suppose that we have the angle BAD=43 degrees.
So angle CBA=43 degrees.
What is the angle of bearing?
A bearing is an angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing.
For example, 30° clockwise from the north is usually written as 030°.
Angle EBA= 180+∠CBA
=180°+43°
=223°
Therefore the bearing of point A from point B is 223°.
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Find the value of
x
y, and
z in the parallelogram below.
Answers
B be the angle of (5y-4) degrees
C be the angle of (x+5) degrees
D be the angle of (9z-7) degrees
According to the property of parallelogram
Opposite angles are equal
We get, angle A = angle C
Since angle A = 79 degrees
And angle C = (x+5) degrees
We get, x+5=79
=> x=79-5=74.
Angle B = Angle D
(5y-4)=(9z-7)
Since there’s two variables here, we can’t use the property of “opposite angles are equivalent”
We have to use another property which is adjacent angles are equal
Therefore, we can find angle D
Angle D + Angle A=180
=> 9z-7 =180-79
z=108/9
z=12
Since (5y-4)=(9z-7)
Substitute z=12 in
We get, 5y-4=101
y= 105/5
y= 21
Therefore, x=74, y=21 and z=12.
What is the factored form of the expression x^2 + 3x-4?
Answers
Answer:
(x-4)(x-4)
Step-by-step explanation:
Because the factors of 16 that add up to -8 can be -4 and -4.
Let's plug it in...
16 - 32 + 16 = 0
It works!!!
ANswer is (x-4)(x-4)
Answer: (x-1)(x+4)
the answer
What is the name of the Platonic solid shown below?
O A. Dodecahedron
OB. Tetrahedron
OC. Octahedron
OD. Hexahedron
Answers
The name of the Platonic Solid shown below is a Hexahedron. Option D is correct.
What is a Platonic Solid?A polyhedron with an identical number of faces meeting at each vertex as well as all congruent uniform polygonal faces is referred to as a platonic solid.
In the image attached, the polyhedron has 6 faces with 3 squares in each vertex. Therefore, we can conclude that the platonic solid is a hexahedron.
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40 is 20% of what number? I don’t understand and need a strp by step:(
Answers
Answer:
200
Step-by-step explanation:
20% is one fifth and therefore 40 is also 1/5 of the number. I then do 40 times 5 to get 200
Answer:
200
Step-by-step explanation:
40 is 20% of 200 because 40/.20=200
20% of 200 is 40 because 200x0.20
it would help to set up proportions like:
40 20
/ =
x 100
and cross multiply and divide.
find xif S is between R and T, RS=2x+3, ST=4x, and RT=63
Answers
Answer:
x = 10
Step-by-step explanation:
If S is between R and T, then RS + ST will be equal to RT.
See image.
Use this idea to write an equation.
2x + 3 + 4x = 63
Combine like terms, Subtract 3, Divide by 6, to solve for x. See image.
May you please help with this, thanks!
Answers
Answer:
The standard form of the number will be written as 63 158
The circumference of a circle is 14 pi cm. What is the area, in centimeters? Express your answer in terms of pi.
Answers
Answer: 49π or 153.86
Explanation: To find the R, do 14 divide by 2 because since you're not multiplying pi with it. The circumference formula is 2πr
14 / 2 = 7
7 = Radius
Area of a circle is : πr^2
π(7^2)
π49
----------
π49
153.86
Keesha buys grapes and bananas. These bills and coins represent the cost of each item. How much did Keesha spend in all? Enter your answer in the box.
Answers
The total amount of money spent by Keesha to buy grapes and bananas is equal to $6.38.
How much did Keesha spend in all?
Based on the value of the bills and coins which represent the cost of each item, we would determine the total amount of money spent by Keesha to buy grapes and bananas.
For the grapes, we have:
Cost of grapes = 5 + (1 × 0.25) + (2 × 0.1) + 0.05
Cost of grapes = 5 + 0.25 + 0.2 + 0.05
Cost of grapes = $5.5.
For the bananas, we have:
Cost of bananas = (3 × 0.25) + 0.1 + (3 × 0.01)
Cost of bananas = 0.75 + 0.1 + 0.03
Cost of bananas = $0.88.
Total cost = 5.5 + 0.88
Total cost = $6.38.
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Abby is making a necklace that is 16 1/2 inches long. She is placing a colorful bead every 3/8 inch. How many beads will she need to make the necklace?
Answers
Answer:
44
Step-by-step explanation:
16.5 / 3/8 = 44
she will need 44 beads to complete that necklace
log_3(x) = 3/2 solve for x
Answers
Answer:
Step-by-step explanation:
Given
log_3x = 3/2 can be rewritten as
3^1.5 = x
You calculator will give you the simplest answer to this. Look around for a key that looks like ^ or y^x or x^y.
Then you put the base (3) into your calculator and press your y^x key and put in 1.5
Answer:
x = 5.1962
Answers need to be fractions, if they are not whole numbers. No decimals
y=−4x−10
Slope of lines parallel to line
Slope of lines perpendicular to line
Answers
Y-intercept : (0, -10)
Solve the system by substitution. Check your solution.
a minus 1.2 b = negative 3. 0.2 b + 0.6 a = 12
a.
(15, 15)
c.
(13, 12)
b.
(10, 12)
d.
(7, 9)
Please select the best answer from the choices provided
A
B
C
D
Answers
The correct answer is option A. Which is the solution of the given equation will be (15,15).
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are solved as:-
a - 1.2b = -3 or a = -3 + 1.2b
0.2a + 0.6b = 12
Put the value of a from equation 1 to the equation second.
0.2 ( -3 + 1.2 b) + 0.6b = 12
-0.6 + 0.24b + 0.6b = 12
0.84b = 12 + 0.6
0.84 b = 12.06
b = 15
Put the value of b in the first equation to find the value of a.
a = 1.2b - 3
a = (1.2 x 15) - 3
a = 15
Therefore the correct answer is option A. Which is the solution of the given equation will be (15,15).
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answers
Answer:
C and H
Explanation:
All others are not the same shape, they tend to be pointing in different directions.
Answer:
a c h g f
Step-by-step explanation:
how would you solve for the missing value in a proportion?
Answers
Answer:
a/b = c/d
a*d = b*c
Ex:
a/2 = 2/4
4a = 4
a = 1
1/2 = 2/4
Your'e at your new high school.....You go into the bathroom and there's students smoking in there. I mean like a real smoke fest. Some of them you know, most you don't as your'e the new freshman. Suddenly, the school security barges in to take everyone who's in the bathroom to the principal's office. You on the other hand was just trying to use the bathroom and never got to lol! You and everyone in the bathroom end up in the office about to get in big trouble. What do you do?
Answers
53° 44°
xº
X=
46°
degrees
Answers
X = 53° + 44° + 46° = 143°
Evaluate using the given value: y+9-x; use x=1, and y=3
Answers
[tex]y+9-x =[/tex]
[tex]x=1 \\ y=3[/tex]
[tex]3 +9 -1=11[/tex]
Answer:
y+9-x = 3+9-1 which would end up equaling: 11
9-1=8+3=11
30 x 17 - ( 10 divided by 2 ) + 3 =
Answers
10/2 = 5.
Then we would do 30 x 17, and get 510.
510 - 5 is 505, plus 3 more is 508.
We get a final answer of 508
Hope this helps!
Answer:
508?
Step-by-step explanation:
what is this factor? simplify?...etc
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x-6)⁰
54°
4
Answers
The measures of the x is 6.
What is angle sum property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Given : one angle= 6x-6 and another angle = 54
Using angle sum property, we have
6x-6 + 54 + 90 = 180
6x=180-144
6c= 36
x=36/6
x=6
Thus, value of x is 6.
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