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Anastasy [175]
3 years ago
6

PLEASE HELP ASAP ! a skyscraper casts a shadow 200 feet long is the angle of elevation of the sun is 42 the height is

Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Answer:

A) 180.08 feet

Step-by-step explanation:

The diagram depicting the situation is shown in the attachment.

From the diagram the height is f ft.

The side we are trying to find is opposite to the given angle which is 42\degree

We use the tangent ratio to obtain;

\tan 42\degree=\frac{f}{200}

We solve for f to get:

f=200\tan 42\degree

f=180.08ft

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viva [34]

the answer is 31/12


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3 years ago
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PLEASE HELP!!!
AlekseyPX

Answer:

D.

Step-by-step explanation:

Find the average rate of change of each given function over the interval [-2, 2]]:

✔️ Average rate of change of m(x) over [-2, 2]:

Average rate of change = \frac{m(b) - m(a)}{b - a}

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change = \frac{4 - (-12)}{2 - (-2)}

= \frac{16}{4}

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change = \frac{n(b) - n(a)}{b - a}

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change = \frac{6 - (-6)}{2 - (-2)}

= \frac{12}{4}

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change = \frac{q(b) - q(a)}{b - a}

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change = \frac{-12 - (-4)}{2 - (-2)}

= \frac{-8}{4}

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change = \frac{p(b) - p(a)}{b - a}

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change = \frac{-4 - 12}{2 - (-2)}

= \frac{-16}{4}

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]

3 0
3 years ago
What is 75% of 60? tell me the answer?
AnnyKZ [126]
The answer is 45 :^))))))))))
5 0
3 years ago
Five times a number decreased by 18 minus 4 times the same number is -36. what is the number?
kaheart [24]

(5x - 18) - 4x = -36

Let's solve your equation step-by-step.

5x − 18 − 4x = −36

Step 1: Simplify both sides of the equation.

5x − 18 − 4x = −36

5x + −18 + −4x = −36

(5x + −4x) + (−18) = −36 (Combine Like Terms):

x + −18 = −36

x − 18 = −36

Step 2: Add 18 to both sides.

x − 18 + 18 = −36 + 18

x = −18


Answer: ========> x = -18 is the number




Hope that helps!!!! : )


3 0
3 years ago
The local home improvement store wants to increase their inventory. Last year 40 lawn mowers cost them $4,776.
hoa [83]
40 mowers = $4,776

Multiply the above equation by 3
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3 years ago
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