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3 years ago

A. 12

1 answer:

kondor19780726 [428]3 years ago

5 0

Tree casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The student is 6 feet tall. What is the height of the tree? Show all work

Answer:

Option D

The height of tree is 20 feet tall

Solution:

From given question,

Shadow of tree = 30 feet

Height of tree = ?

Height of student = 6 feet

Shadow of student = 9 feet

We have to find the height of tree

We can solve the sum by proportion

$\frac{\text{height of tree}}{\text{shadow of tree}} = \frac{\text{height of student}}{\text{shadow of tree}}$

This forms a proportion and we can solve the sum by cross multiplying

$\frac{\text{height of tree}}{30} = \frac{6}{9}\\\\\text{height of tree} = 30 \times \frac{6}{9} = 30 \times \frac{2}{3}\\\\\text{ height of tree } = 10 \times 2 = 20$

Thus height of tree is 20 feet tall

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miss Akunina [59]

Answer:

r = 5.848cm, h = 11.696cm

Step-by-step explanation:

Surface area: $SA=2\pi rh+2\pi r^2$

Volume: $V=\pi r^2h$

Therefore, the height of a cylinder given its volume would be $h=\frac{V}{\pi r^2}$ , thus:

$SA=2\pi r(\frac{V}{\pi r^2})+2\pi r^2\\\\SA=\frac{2V}{r}+2\pi r^2\\\\SA=\frac{2(400\pi)}{r}+2\pi r^2\\\\SA=\frac{800\pi}{r}+2\pi r^2$

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:

$\frac{d(SA)}{dr}=-\frac{800\pi}{r^2}+4\pi r$

$0=-\frac{800}{r^2}+4\pi r$

$0=800\pi+4\pi r^3$

$-800\pi=4\pi r^3$

$-200=r^3$

$r\approx5.848$

If $0If [tex]r>5.848$ , then the surface area of the cylinder increases

Therefore, the surface area is minimized when the radius is $r=5.848cm$ , making the minimum height $h=\frac{V}{\pi r^2}=\frac{400\pi}{\pi(5.848)^2}\approx11.696cm$ .

In conclusion, the 2nd option is correct.

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2 years ago

Cuanto es dcneicneen eie neim

svetlana [45]

Answer:

Lo lamento tanto, pero no puedo entender la pregunta puedes decirme cual es para poderte ayudar. :)

Step-by-step explanation:

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3 years ago

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One of the legs of a right triangle measures 4 cm and its hypotenuse measures 5 cm. Find the measure of the other leg. If necess

Zigmanuir [339]

A^2 + b^2 = c^2
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3 years ago

A building has a window that is 12 feet high. Stan is going to use a ladder to get up to the window and decides to keep the ladd

olasank [31]

Answer=13 feet long

This information describes a right triangle, with sides 5ft and 12ft.

a²+b²=c²
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The ladder needs to be 13ft long

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Step-by-step explanation:

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