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3 years ago

A 16-ft ladder is placed 4 ft. from the base of a

Mathematics

2 answers:

Alex73 [517]3 years ago

8 0

Answer:

You have a right triangle.

a^2+b^2=c^2

4^2+b^2=256

16+b^2=256

b^2=256-16

b^2=240

b=sqrt240

b=15.49 ft. ans. for the height of the ladder up the wall.

Step-by-step explanation:

stepan [7]3 years ago

7 0

Answer:15.5

Step-by-step explanation:4^2 + h^2 = 16^2

h^2 = 256 - 16 = 240 = 16*15

h = 4 square root 15

h = 15.5

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Find the length of the altitude drawn to the hypotenuse.the triangle is not drawn to scale

Marrrta [24]

Answer:

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Step-by-step explanation:

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2 years ago

If f'(0) = 5 and F(x) = f(3x), what is F'(0)?

Llana [10]

Answer:

$\displaystyle F'(0) = 15$

Step-by-step explanation:

We are given that:

$f'(0) = 5 \text{ and } F(x) = f(3x)$

And we want to find F'(0).

First, find F(x):

$\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]$

From the chain rule:

$\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}$

Then:

$\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}$

In conclusion, F'(0) = 15.

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2 years ago

Read 2 more answers

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lesantik [10]

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2 years ago

∠A and ∠B are vertical angles. ∠A = 65x − 12 and ∠B = 43x + 10 How many degrees are in ∠A?

Margarita [4]

Answer:

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Step-by-step explanation:

Vertical angles are congruent so...

65x-12=43x+10

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Then add it into the equation of ∠A

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