Find the measures of the angles of a right triangle with one angle whose measure is 10

Answer:Step by Step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    h*(t)-(16*t^2+192*t)=0

STEP

1

:

Equation at the end of step 1

 ht -  (24t2 +  192t)  = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  ht - 16t2 - 192t  =   t • (h - 16t - 192)

Equation at the end of step

3

:

 t • (h - 16t - 192)  = 0

STEP

4

:

Theory - Roots of a product

4.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

4.2      Solve  :    t = 0

 Solution is  t = 0

Equation of a Straight Line

4.3     Solve   h-16t-192  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  h-16t-192  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000

 t-intercept = 192/-16 = 12/-1  = -12.00000

Calculate the X-Intercept :

When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000

 h-intercept = 192/1  = 192.00000

Calculate the Slope :

Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.125/2.000 =  0.062

Geometric figure: Straight Line

 Slope = 0.125/2.000 = 0.062

 h-intercept = 192/1 = 192.00000

 t-intercept = 192/-16 = 12/-1 = -12.00000

t = 0

Step-by-step explanation:

The solution to the given equations has infinitely many solutions

Given the following set of equations:

y = 9x - 5

y = 9x + 6

Equating both expressions

9x - 5 = 9x + 6

Collect the like terms

9x - 9x = 6 + 5

0x = 11

x = 11/0

x = ∞

This shows the solution has infinitely many solutions

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Answer: b

Step-by-step explanation: bc khan

Answer:

gradient is 5

Step-by-step explanation:

x intercept, replace y with 0

y +5x= 13

0+ 5x =13

0 - 13= -5x

-13= -5x

-13/-5 = -5x/-5

x = 13/5

y intercept, replace x with 0

y+5x=13

y+5(0)=13

y+0=13

y =13

Answer:

a

Step-by-step explanation:

True, the 95% confidence interval suggests that there is a high likelihood (about 80 out of 100 intervals) that the true population proportion of union members in favor of the proposed management union contract falls between 0.78 and 0.82.

The confidence interval estimated for the population proportion of union members in favor of the proposed management union contract was between 0.78 and 0.82, with a confidence level of 95%.

The confidence level represents the probability that the interval contains the true population parameter.

In this case, with a confidence level of 95%, it means that if we were to repeat the survey and construct 100 similar confidence intervals, approximately 95 of those intervals would contain the true population proportion.

Therefore, when it is stated that "about 80 out of 100 similarly constructed intervals would include the population proportion," it means that the estimated confidence interval aligns with the confidence level of 95%, indicating that approximately 80% of those intervals would contain the true population proportion.

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#SPJ2

Answer:

$35.20

Step-by-step explanation:

S.I. = (P×R×T)/100

=(160×5.5×4) /100

= (640×55) / 100×10

= (64×55) / 100

= 3520 / 100

= $ 35.20

brainliest plz

Answer:

Step-by-step explanation:

Find the difference:

Find the ratio:

Find the ratio:

Answer:

the strong correlation

I divided 56 by 4 to see how much per CD Brad payed. This got me $14. $42 divided by $14 is $3, so he can buy 3 CDs.

Answer:

3

Step-by-step explanation:

For each CD:

$56÷4=$14

Therefore for $42,

$42÷$14=3

Brad can purchase 3 CD'S.

Hope this helps!

Hope this helps!please mark BRAINLIEST.

Answer:

the answer is a because it has no decimal

it is in square root

Answer:

Step-by-step explanation:

Salary increase in 2 years = Salary in fifth year - salary in 3rd year

    = 87,023 -  43,250

     = $ 43,773

Salary increase per year= 43773/2 = $ 21,886.50

there is the answer to your problem

Answer:

Step-by-step explanation:

I tried to translate "11 x plus y equals 4 space x plus y equals negative 2 space x minus 2 y equals 18"

This is what I got:

11x + y = 4

x+y=-2

x-2y=18

For me, personally, I need to rewrite these equations into standard format of y=mx+b (slope intercept):

-------

11x + y = 4

y=-11x+4

-------

x+y=-2

y=-x-2

-------

x-2y=18

2y = x-18

y=(1/2)x-9

------

For each one I can find the y-intercept easily: (4, -2. and -9). I can quickly generate a second point by assuming a convenient value for x (one that makes the calculation simple).

1. y=-11x+4 let x = 1; y = -7 : (1,-7)

y=-x-2 let x = 2; y= -4 : (2,-4)

y=(1/2)x-9 let x= 2; y=-8 : (2,8)

The y-intercepts tell us at point on the line for each equation:

(4, -2. and -9) means points at (0,4), (0,-2) and (0.-9)

Now we have two point for each line equations. All we have to do is mark those two points for each equation and draw a line through them. Easy!

The two points for each equation are:

1. (1,-7), (0,4)

2. (2,-4), (0,-2)

3. (2,8), (0.-9)

This always works well for equation of lines. More comples equations involving parabolas, etc., are more easily graphed using tables of the results of various x inputs.

It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units

Explanation:

It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units

Look at the three graphs y=|x| in pink. y=-|x| in white and y=4-|x+2| in red

Answer:

x = 2, y = 1

Step-by-step explanation:

x + 4y = 6 and y = 3 - x have to be rearranged: x + 4y = 6 and x + y = 3

You subtract the equations to eliminate one of the variables (x) so that the other can be found

Answer:

a. (1/2)^5 × (1/2)^10

Step-by-step explanation:

HOPE IT HELPS YA

Answer:

60

Step-by-step explanation:

time * speed

in seconds 60x *4 = 2.5(60x + 900)

x= 25

25 min * 4cm/2

distance = 60 meters

CHEck!!!

Using a system of linear equations, the distance between points A and B is 6000 cm

Time taken = Distance / speed

Let ; distance = d

To time :

Fro time :

(t + 15 × 60) = d / 2.5

2.5(t + 900) = d

2.5t + 2250 = d ______(2)

Equate (1) and (2)

4t = 2.5t + 2250

4t - 2.5t = 2250

1.5t = 2250

t = 1500 seconds

From (1) :

d = 4t

d = 4(1500)

d = 6000 cm

Therefore, the distance from point A to B is 6000 cm

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Answer:

m = 5, -1/3

don't know if this is right or wrong

Answer:

if the questio is 3m-7 over 4 -2 than

Step-by-step explanation:

the awanser is 3/4m+ -15/4

Answer:

choice 1

Step-by-step explanation:

plug the points into each answer choices (guess and check)

Answer:

x=70

y=55

Step-by-step explanation:

We can start by finding the opposite angle to 125.

180-125=55

We would use 180 because a line is a straight angle, therefore if you intercept the line both angles would add up to 180.

55 is y because they are equivalent.

the sum of all the angles is always 180 so...

55+55=110

180-110=7

Answer:

so they have 6.6 Gallons?

Step-by-step explanation:

Answer:

$1,754,31

Step-by-step explanation:

Furniture = $213 + $812.50 + $499.99 = $1,525.49

15% * $1,525.49 = $228.82

Total = $1,525.49 + $228.82 = $1,754,31

Candace should have gone to Wayfair

Area = length x width

When you multiply fractions, multiply top number by top number and bottom number by bottom number:

9/10 x 2/3 = (9 x 2) / (10 x 3) = 18/30 this can be reduced by dividing both numbers by 6:

18/30 reduces to 3/5

Answer: 3/5 square feet

Answer: y=10

Step-by-step explanation:

5y-8=42

5y= 50

y= 50/5

y= 10

Answer:

OH MY GOSH I DON'T KNOW BUT GL! WISH YOU THE BEST AAAAA-

Step-by-step explanation:

Answer:

ITS A

trust me it's quite simple. you just need to find the overall pattern of the sequence

Answer:

128º

Step-by-step explanation:

You just add the two angles together

<GFE=<KFE+<GFK

<GFE=100+28

<GFE=128

Answer:

1.7 (units).

Step-by-step explanation:

1) if the point A has (-0.25;5) and the equation of the given line is -x+2y=14 (Ax+By+C=0), then the required distance can be calculated according to the formula:

[tex]d=\frac{Ax_0+By_0+C}{\sqrt{A^2+B^2} }[/tex]     , where A, B and C belong to the given line, x₀, y₀ - coordinates of the given point;

2) A=-1, B=2, C=-14 and x₀=-0.25, y₀=5, then according to the formula above:

[tex]d=|\frac{0.25+5*2-14}{\sqrt{4+1}}|=\frac{3.75}{\sqrt{5}}=\frac{3.75}{2.2}=1.7[/tex]

Answer: Yes

Step-by-step explanation:

2:3 is the same as (2/3) and 4:6 is the same as (4/6). (4/6) can be reduced by dividing both sides by 1/22: (4/6)*(1/2)/(1/2) = 2/3, They are the same.