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3 years ago

A helicopter hovers 1250 feet

1 answer:

8 0

Create a right triangle.

The height of the leg will be 1250 feet. We are given an angle of depression of 47°, so we can draw an imaginary line parallel to the base of the triangle.

By the AIA Theorem, the angle of the bottom right side of the right triangle will be 47 degrees.

We want to find the distance between the coast and the island. In other words, find the length of the base of the triangle. We can do so with trigonometric ratios.

tan47 = 1250/x

x = 1166.

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Help please. it would really help if someone explained

Alenkinab [10]

Answer:

0/8

Explanation:

There is no number greater than 10 on the spinner, so there is a 0/8 chance that the spinner will land on a number greater than 10.

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3 years ago

What is 1/6 of 54= 1/3 of WHAT

hodyreva [135]

Answer:

Step-by-step explanation:

⅙ × 54 = ⅓ × x

9 = x/3

x = 27

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3 years ago

Read 2 more answers

PLZ HELP!!!

Goshia [24]

The first and last choices are the only ones whose angles total 180 degrees, so they're the only possible triangles.

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3 years ago

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For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th

alexira [117]

Answer:

The inner function is $h(x)=4x^2 + 8$ and the outer function is $g(x)=3x^5$ .

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

Step-by-step explanation:

A composite function can be written as $g(h(x))$ , where $h$ and $g$ are basic functions.

For the function $f(x)=3(4x^2+8)^5$ .

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have $4x^2+8$ inside parentheses. So $h(x)=4x^2 + 8$ is the inner function and the outer function is $g(x)=3x^5$ .

The chain rule says:

$\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)$

It tells us how to differentiate composite functions.

The function $f(x)=3(4x^2+8)^5$ is the composition, $g(h(x))$ , of

outside function: $g(x)=3x^5$

inside function: $h(x)=4x^2 + 8$

The derivative of this is computed as

$\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4$

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

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4 years ago

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Vitek1552 [10]

Answer:

10/10

Step-by-step explanation:

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