ROLLER COASTERS The height of a roller coaster is 157.5 feet. If the roller
coaster's shadow is 60 feet long, how long will a person's shadow be if the
person is 5 feet 3 inches tall?

Answer:

i. The angle measure of Imogen's leftover should not be larger than [tex]98^{o}[/tex]

ii. The maximum number of slices that Imogen can fit is 2.

Step-by-step explanation:

The leftover in Madeline's box forms angle = 203°

The leftover in Tyra's box forms angel = [tex]59^{o}[/tex]

Sum of angles formed = 203° + [tex]59^{o}[/tex]

                                      = [tex]262^{o}[/tex]

Given that one box =  1 full circle of 360°. Then,

the angle formed by the leftover in Imogen's box = 360° - [tex]262^{o}[/tex]

                                                       = [tex]98^{o}[/tex]

Thus, the angle measure of Imogen's leftover slices should not be larger than [tex]98^{o}[/tex].

If each slice has an angle of [tex]40^{o}[/tex], the maximum number of slice that Imogen can fit = [tex]\frac{98}{40}[/tex]

          = 2 [tex]\frac{9}{20}[/tex]

          = 2.45

The maximum number of slices that Imogen can fit is 2.

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Answer:

A = 660.72 in^2 - A = 98 in^2 = 562.7 in^2

Step-by-step explanation:

Formula for a seven sided polygon/heptagon is:

A = (1/4)na^2 cot(π/n) = nr^2 tan(π/n

n n = 7 sides

side length a = 13.4841 in

inradius r = 14 in

circumradius R = 15.5388 in

area A = 660.72 in^2

perimeter P = 94.3886 in

interior angle x = 128.571 °

exterior angle y = 51.4286 °

To calculate the square from a diameter use this formula: q = √(2a^2) = a√2

side length a = 9.8994949366117 in

diagonal q = 14 in

perimeter P = 39.597979746447 in

area A = 98 in^2

Answer:

The fifth and fourth one

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

first, you would have to figure out the range, which would be 8 because to find the range, you have to get the larger number and the smaller number and subtract. So that answer would be 9-1=8 so range-1

To find the mode you will have to look at the list of numbers and see which one occurs that most and that would be the mode. Therefore, the range is 8, and the mode is 3.

Answer- range1, mode:3  

Answer:

The answer is G. The sum of r and 4 minus t

Step-by-step explanation:

It is G because an expression has no equal sign or answer, an equation has an answer.

Answer:

8.6 units

rounded would be just 9 ig?

Answer: 21

Step-by-step explanation: f(-2) = 4· (-2)²-(-2) + 3 = 4·4 +2 +3

Answer:

You need to buy 3 quarts of paint.

Step-by-step explanation:

Given

[tex]Coats =2[/tex]

[tex]Paint = 90ft^2/qt[/tex]

See attachment for stage

Required

Determine the number of quarts needed

First, we calculate the surface area of the stage (without the base).

This is calculated as:

Area = Area of Rectangle1 + Area of Rectangle 2 + 2 * Area of each triangle on both sides.

For the first rectangle, we have:

[tex]A_1 =Length * Width[/tex]

[tex]A_1 = 15.2 * 19.5 =296.4[/tex]

For the second rectangle, we have:

[tex]A_2 =Length * Width[/tex]

[tex]A_2 = 6* 19.5 = 117[/tex]

For each triangle on both sides

[tex]A_3 = 0.5 * Base * Height[/tex]

[tex]A_3 = 0.5 * 14 * 6 = 42[/tex]

So, the total area is:

[tex]Area = A_1 + A_2 + 2 *A_3[/tex]

[tex]Area = 296.4 + 117+ 2 *42[/tex]

[tex]Area = 497.4ft^2[/tex]

The amount of paint need is:

[tex]Amount = \frac{Area}{2\ coats}[/tex]

From the question, we understand that:

[tex]1\ coat =90ft^2/quart[/tex]

Multiply both sides by 2

[tex]2 * 1\ coat =90ft^2/quart * 2[/tex]

[tex]2 \ coats =180ft^2/quart[/tex]

So, we have:

[tex]Amount = \frac{Area}{2\ coats}[/tex]

[tex]Amount = \frac{497.4ft^2}{180ft^2/quart}[/tex]

[tex]Amount = \frac{497.4ft^2}{180ft^2}quart[/tex]

[tex]Amount = \frac{497.4}{180}quart[/tex]

[tex]Amount = 2.763\ quarts[/tex]

[tex]Amount \approx 3\ quarts[/tex] --- approximated

Answer:

Y=⅘X+2. the picture not clear so i hesitate

Answer:

90

Step-by-step explanation:

10%*900=90

Answer:

90

Step-by-step explanation:

10%*900=90

Answer:

$33.92 ($1.92 in tax)

Step-by-step explanation:

% values are 1/100ths. 32.00/100=0.32. 0.32(6) = 1.92.

 $32.00

+   $1.92

=$33.92 total.

Answer: 4 2/3

number letter: A

The length of the piece of ribbon = 3 1/2 yards= 7/2 yards

The length of ribbon required to make  a bow =  3/4 yards

Now, the number of bows can be made in the given piece of ribbon = 7/2 divided by 3/4

 = 7/2*4/3= 14/3 = 4 2/3

Hence,  the number of bows can be made in the given piece of ribbon =  4 2/3

Answer:

y+3=1/4(x-8)

simplified -> y+3=1/4x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=1/4(x-8)

y+3=1/4(x-8)

If you want it to be further simplified

y+3=1/4x-2

Answer:

4.     2

Step-by-step explanation:

Subtitue the value of variable into the equation and simplify 2

Answer:

2 and 16/3 is the answer

Step-by-step explanation:

4.

putting value of n in given expression

20-3.6

20-18

2 answer

5.

putting value of n in given expression

(2/3).6+(2/3).2

4+(4/3)

(12+4)/3

16/3 answer

Answer:sup handsome

Step-by-step explanation:

Answer:12%

Step-by-step explanation:

I took the test

Answer: Substitute in the values of a1=27 a 1 = 27 and r=13 r = 1 3 .

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

i did the math

Answer:

f(x) = 12*(2)^x

Step-by-step explanation:

A generic exponential equation is written as:

f(x) = A*(r)^x

And we also know that this equation passes through:

(-1, 6)

(0, 12)

(1, 24)

(2, 48)

For the second point, (0, 12) we know that when f(0) = 12

Then:

f(0) = 12 = A*(r)^0

And for every real number different than zero, a^0 = 1

Then:

f(0)  = A*1 = A = 12

Then the equation is:

f(x) = 12*(r)^x

Now we can use one of the other points, like (1, 24)

Then f(1) = 24

We can solve:

f(1) = 24 = 12*(r)^1  = 12*r

24/12 = r

2 = r

Then the equation is f(x) = 12*(2)^x

Now we need to check if this function also passes through the points (-1, 6) and (2, 24):

f(-1) = 12*(2)^-1 = 12/2 = 6

f(2) = 12*(2)^2 = 12*4 = 48

Nice.

So we can see that the function is f(x) = 12*(2)^x

Answer:

Your answer will be 8

Step-by-step explanation:

Hope it helps u. ..

Answer:

8

is the correct answer of this question

hope it helps and your day will be full of happiness

Answer:

D: Volume

Step-by-step explanation:

Answer:

area

Step-by-step explanation:

Answer:

use the formula y2-y1/x2-x1 in order to find your answer for each coordinate

Step-by-step explanation:

Answer:

ADEF is correct

Step-by-step explanation:

how was ur day

Answer:

3 rd one

Step-by-step explanation:

i am tot sure if it is but i think it is

B it is B not c or a it is b

Answer:

1. 31

2. -40

3. 28.5

4. 75

5. 6

6. -24

7. -34

8. 68

9. 8

10. 26

Step-by-step explanation:

I tried to do the best I can I hope this helps! :))

Answer:

c.

Step-by-step explanation:

Answer:

in 13.95 years the senior class will have 100 students.

Step-by-step explanation:

P(h) = p(0.92)^t (equation for exponential change)

P(h) - population of highschool (or senior class) = 100

p - staring amount = 320

t = time in years

100 = 320(0.92)^t

1/3.2 = .92^t (divide both sides by 320)

log(1/3.2, .92) = t (log base 0.92 of 1/3.2 equals t)

13.9497 = t