From the top of a building 37 feet high, the angle of depression to a car stopped on the ground is 19 degrees. What is the distance from the car to the base of the building?

The first step in constructing an angle by means of a protractor is; Draw a horizontal ray.

The first step in constructing an angle by means of a protractor involves a sequence of ordered steps as follows;

Read more on Angle construction;

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Answer:

14 2/3

filler filler filler

The expression 30t mean that the velocity of the football is 30, while the term 16t² makes the function to be quadratic.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(t) = 6 + 30t – 16t²

Where f(t) is the height of the football after t seconds.

The constant 6 means the football was thrown from a height of 6 feet above the ground.

The expression 30t mean that the velocity of the football is 30, while the term 16t² makes the function to be quadratic.

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4/9

hope it helps...!!!

Answer:

[tex] \frac{4}{9} [/tex]

Step-by-step explanation:

[tex] \frac{80 \div 10}{180 \div 10} = \frac{8 \div 2}{18 \div 2} = \frac{4}{9} [/tex]

Hope this help you out =)

Answer:

153.6

Step-by-step explanation:

Answer:

153.6

Step-by-step explanation:

32x4=128

128x3=384

384x2=768

768/5=153.6

Answer:

1 muffin is 5.25 and 1 cup of coffee is 3.95

Step-by-step explanation:

32.85 - 22.35 is 10.5. 10.5 divided by 2 is 5.25 that is the cost of 1 muffin. 22.35 - 10.5 is 11.85. 11.85 divided by 3 is 3.95.

14/20 , 21/30 ,28/40 & 35/50 all are equivalent ratio to 7 /10

Answer:

∠ F ≈ 24.2°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan F = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{GH}{FG}[/tex] = [tex]\frac{9}{20}[/tex] , then

F = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{20}[/tex] ) ≈ 24.2° ( to the nearest tenth )

Answer:

64

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

All you have to do is plug in the numbers, it will look like this

(2(2)^2 * -1^3)^2

It looks weird but trust me

Ok so first you have to mutiply 2*2 whitch is 4

(4^2 * -1^3)^2

now what is the 1 with the exponet of 3? It will stay at -1

(4^2 * -1) ^2

what is 4^2? it is the same a 4*4

whitch is 16

(16-1)^2

16-1?

(15)^2, same thing as 15*15

whitch is 225

makingn 255 your answer

Answer:

16, 0, 64

Step-by-step explanation:

Check out the attached photo

Step-by-step explanation:

internet check ?

that's the fastest, and the same I had to do :

there are 2 pints in 1 quart.

in other words

1 pint = 0.5 quarts

therefore,

13 pints = 13×1 = 13×0.5 quarts = 6.5 quarts

so,

13 pt = 6 qt + 1 pt

Answer:

13 pt = 6 qt 1 pt

Step-by-step explanation:

1 qt = 2 pt

12 pt = 6 qt + 1 remaining pt.

Answer:

10 pieces of Juan's candy was chocolate

Step-by-step explanation:

to find 2/5 of something, you have to multiply.

of means to multiply.

So then you multiply 2/5 by 25.

[tex]\frac{2}{5}*\frac{25}{1} =\frac{10}{1} =10[/tex]

Reason:

We have this stem-and-leaf plot

[tex]\begin{array}{r|l}\text{stem} & \text{leaf}\\\cline{1-2}5 \ & \ 0 \ 4\\6 \ & \ 5 \ 7 \ 8\\7 \ & \ 5 \ 8\\8 \ & \ 2 \ 4 \ 5 \ 5 \ 5 \ 6 \ 7 \ 8 \ 9\\9 \ & \ 0 \ 0 \ 0 \ 0 \ 4 \ 6 \ 7 \ 9\\\end{array}[/tex]

where something like [tex]5 \big| 0[/tex] represents the number 50.

The most frequent leaf is "0" in the very bottom row. It shows up four times, which is the most of any of the other leaf.

This leaf ties to the stem of 9.

stem = 9 & leaf = 0 leads to the data value 90.

Therefore, the mode is 90

The process is an isochoric process. Then the tire pressure change in response to the change in temperature is 2.65 atm.

It is a branch of science that deals with heat and work transfer.

An automobile tire at 30.0°C has a pressure of 3.00 atm.

The temperature decreases to -5.00°C.

Assume that there is no volume change in the tire.

Then for the constant volume process, we have

[tex]\dfrac{P_1}{P_2} = \dfrac{T_1}{T_2}\\\\\dfrac{3}{P_2} = \dfrac{303}{268}\\\\P_2 \ = 3\times \dfrac{268}{303}\\\\P_2 \ = 2.65[/tex]

The tire pressure change in response to the change in temperature is 2.65 atm.

More about the thermodynamics link is given below.

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Answer:

How does the tire pressure change in response to the temperature change?

✔ decreases

What is the new pressure of the tire after the temperature change?

2.65 ✔ atm

Step-by-step explanation:

Got it right on edge

The coordinates of the final point after the two reflections is (-7, -4)

For a point (x, y), a reflection across the x-axis gives the point (x, -y), while for a point (x, y) a reflection across the y-axis gives (-x, y).

In this case, we have the point (7, 4), first we reflect across the x-axis, so we get the point (-7, 4).

Now we reflect across the y-axis, so the sign of the y-component changes, and we get (-7, -4)

So the coordinates of the final point after the two reflections is (-7, -4).

If you want to learn more about reflections, you can read:

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Answer:

3/7

Step-by-step explanation:

This is because you need to count the tick marks to 1.

That should be 7.

Then you count to the red dot.

That should be 3.

3/7

Answer: 3/7

Step-by-step explanation:

There are 7 segments that separates 1 from 0, therefore our denominator of the fraction is 7.

The red dot is on the third tick, making our numerator 3.

Our answer is 3/7, or [tex]\frac{3}{7}[/tex]

Answer:

748m³

Step-by-step explanation:

Hello!

The volume of a rectangular prism is determined by the formula [tex]l * w * h[/tex]. To find the volume is to find how much space the object takes up in 3D. The formula is used to find the area of the base ( [tex]l * w\\[/tex] ), or the space taken on a 2D plane and multiplied by the height to give it 3 Dimensions.

Breakdown of [tex]l * w * h[/tex]:

Find the Volume:

Use the formula and plug in values into the formula.

Th units of length are m, and volume is the units cubed, so the units are m³.

The volume is 748m³

Answer:

748

Step-by-step explanation: V= W*H*L

17*11*4= 748m^3

Answer:

Plywood1: x = width ; length = 2x

1) x (2x) = 4.5

2) 2x² - 4.5 = 0

a = 2 ; b = 0 ; c = -4.5

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a} = \frac{0 \pm\sqrt{0-4(2)(-4.5)} }{2(2)}= \frac{\pm6}{4} = \boxed{\frac{3}{2}}x=

2a

−b±

b

2

−4ac

=

2(2)

0±

0−4(2)(−4.5)

=

4

±6

=

2

3

Plywood2: x = width ; length = 2x-1.4

1) x (2x-1.4) = 16

2) 2x² -1.4x -16 = 0

a = 2 ; b = -1.4 ; c = -16

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{1.4 \pm\sqrt{1.96-4(2)(-16)} } < br / > {2(2)}=\frac{1.4 \pm11.4 }{4}=\boxed{3.2}x=

2a

−b±

b

2

−4ac

=

<

1.4±

1.96−4(2)(−16)

br/>2(2)=

4

1.4±11.4

=

3.2

Plywood3: x = width ; length = 5-x

1) x (5-x) = 6

2) -x² +5x -6 = 0

a = -1 ; b = 5 ; c = -6

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{-5 \pm\sqrt{25-4(-1)(-6)} }{2(-1)}=\frac{-5 \pm1}{-2}x=

2a

−b±

b

2

−4ac

=

2(−1)

−5±

25−4(−1)(−6)

=

−2

−5±1

\boxed{x_1=3}

x

1

=3

\boxed{x_2=2}

x

2

=2

BRAIN LESS ANSWER

Answer:

80%

Step-by-step explanation:

it’s 82% but rounded its 80

Answer:

4056/23

Step-by-step explanation:

[tex]\begin{aligned}169+\dfrac{169}{23} & =\dfrac{169}{1}+\dfrac{169}{23}\\\\ & =\dfrac{169\times 23}{1\times 23}+\dfrac{169}{23}\\\\ & =\dfrac{3887}{23}+\dfrac{169}{23}\\\\ & =\dfrac{3887+169}{23}\\\\ & =\dfrac{4056}{23}\end{aligned}[/tex]

Answer:

The answer is, y = 1060.64

Step-by-step explanation:

First, you want to multiply both sides by 38, which gives you

38y = 157y -126216.

Then you want to rearrange:

119y = 126216

then you want to divide by 119, which gives you y=126216/119, which is 1060.64

I'll be expecting my reward :)

Step-by-step explanation:

c = cost per person

p = number of people

The cost per person is 1500/p, where 

is the number of people. A larger p creates a smaller value of c since they are INVERSELY RELATED.

I believe the inverse variation function is

c = 1500 × 1/p

make sure to ask if you need anything else. :)

Answer: D: 240 Centimeters cubed

Step-by-step explanation:

Volume = LxWxH

Volume = 10 x 8 x 3

Volume = 240cm³

Your answer is D: 240 Centimeters cubed

Answer:

f(x + 2) = 5x² + 18x + 19

f(x + 2) - f(x) = 20x + 16

f(x + h) = 5x² + 10hx + 5h² - 2x - 2h + 3

Step-by-step explanation:

1. f(x + 2)

[tex]f(x)=5x^2-2x+3\\f(x+2)=5(x+2)^2-2(x+2)+3\\f(x+2)=5(x+2)(x+2)-2(x+2)+3\\f(x+2)=5(x^2+4x+4)-2(x+2)+3\\f(x+2)=5x^2+20x+20-2(x+2)+3\\f(x+2)=5x^2+20x+20-2x-4+3\\f(x+2)=5x^2+18x+20-4+3\\f(x+2)=5x^2+18x+19[/tex]

2. f(x + 2) - f(x)

[tex]f(x+2)-f(x)\\(5x^2+18x+19)-(5x^2-2x+3)\\5x^2-5x^2+18x-(-2x)+19-3\\0x^2+18x+2x+16\\20x+16[/tex]

3. f(x + h)

[tex]f(x)=5x^2-2x+3\\f(x+h)=5(x+h)^2-2(x+h)+3\\f(x+h)=5(x+h)(x+h)-2(x+h)+3\\f(x+h)=5(x^2+2hx+h^2)-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2x-2h+3[/tex]

Using the interpretation of the confidence interval, it is found that the correct option is:

e) No, the confidence interval contains 0, so 0 is a plausible value for the true mean increase in number of miles driven on 25 gallons. An increase of 0 would indicate the gas mileage has not increased.

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

In this question, the 99% confidence interval for the increase is of (-3.95, 64.35). It contains 0 and negative values, hence those are plausible values, and this is not enough evidence that the mean has increased, hence option e is correct.

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Answer:

1. $36/4 hours = $9per hour

2. 350miles/7hours = 50mile per hour

3. 1.60 / 20 = $0.08 per pen

Answer:

(x_4)^2+(y+1)^2=81

Step-by-step explanation:

you change the signs of the x and y co efficient. The general formula is (a,-b) (x_a)^2+(y+b)^2=r^2

A sample median of 1,005 visitors would be most likely to occur for the sample size given by: Option A: 20

As the value of n (the sample size) grows larger, the sampling distribution tends to being normal. For an approximate normal distribution, its mean, median, and mode all are approx coincident. And as the sample size increases, the sample mean tends to being the population mean as per the weak law of large numbers. For n > 30, we can approximate it using normal distribution usually.

We're given that:

So, as we know, as the sample size increases, the sample mean and sample median and sample mode, all will tend to the population mean, median and mode (assuming population is large enough that they're all same).

Thus, the smaller the sample size, the more likely it is for holding 1005 as sample median instead of approx 893.

So, size 20 is most likely to have that median as it is the smallest sample size given.

Thus, a sample median of 1,005 visitors would be most likely to occur for the sample size given by: Option A: 20

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