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Alika [10]
3 years ago
14

Need help ASAP. The diagram shows 5ft student standing near a tree. The shadow of the student and the shadow of the tree at endp

oint A. What is the height of the tree. Show all your work, and make sure to include units in your final answer.

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0

Answer:

25 ft

Step-by-step explanation:

The 2 triangles are similar hence the ratios of corresponding sides are equal, that is

\frac{x}{5} = \frac{40}{8} = 5

multiply both sides by 5

x = 5 × 5 = 25

The height of the tree is 25 ft

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Earth's radius is approximately 6400 km. What is the surface area & volume of the earth?
Tamiku [17]

Answer:

SA=514,457,600\ km^{2}

V=1,097,509,546,667\ km^{3}

Step-by-step explanation:

step 1

Find the surface area

we know that

the surface area of a sphere is equal to

SA=4\pi r^{2}

substitute

SA=4 \pi (6,400)^{2}

SA=163,840,000 \pi\ km^{2}

substitute the approximate value of pi (3.14)

SA=(3.14) (163,840,000)

SA=514,457,600\ km^{2}

step 2

Find the volume

The volume is equal to

V=(4/3)\pi r^{3}

substitute

V=(4/3)(3.14) (6,400)^{3}

V=1,097,509,546,667\ km^{3}

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3 years ago
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(-16, -4) (0,-12) slope
ella [17]

Answer:

-1/2

Step-by-step explanation:

m=y2-y1/x2-x1

-12-(-4)=(-8)

0-(-16)=16

-8/16

-8/16=(-1/2)

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3 years ago
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Kareen correctly answered 85% of the questions on his math test. If he answered 34
Levart [38]

Answer:

40

Step-by-step explanation:

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3 years ago
What DECIMAL represents this fractional amount?
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The ratio of blue cars to red cars in a garage is 9:7. If there are 49 red cars in the garage then how many blue cars must be in
m_a_m_a [10]

Answer:

Blue cars, B = 63 cars

Step-by-step explanation:

Let the blue cars be B.

Let the red cars be R.

Given the following data;

Ratio of B:R = 9:7 = 9 + 7 = 16

Red cars, R = 49

To find the number of blue cars;

First of all, we would determine the total number of cars using the expression;

R = 7/16 * x = 49

7x = 49 * 16

7x = 784

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Now, we can find the number of blue cars;

B = 9/16 * 112

B = 1008/16

Blue cars, B = 63 cars

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3 years ago
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