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Eva8 [605]
2 years ago
7

a utility pole is 8m high. a cable is stretched from the top of the pile to a point in the ground that is 7 m from the bottom of

the pole. how long is the cable? round to 2 decimal places
Mathematics
1 answer:
Olin [163]2 years ago
5 0

We can draw this as:

We can use the Pythagorean theorem to find the length of the cable, as it is the hypotenuse of a right triangle:

\begin{gathered} c^2=7^2+8^2 \\ c^2=49+64 \\ c^2=113 \\ c=\sqrt[]{113} \\ c\approx10.63 \end{gathered}

Answer: the cable length is 10.63 m.

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Step-by-step explanation:

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A dishwasher sells for $749.50. A vacuum cleaner sells for 69.99 a microwave oven sells for 129.95 about how many vaccin cleaner
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3 years ago
The price-demand and cost functions for the production of microwaves are given as
Nikolay [14]

Answer:

<u>ALTERNATIVE 1</u>

a. Find the profit function in terms of x.

P(x) = R(x) - C(x)

P(x) = (-60x² + 275x) - (50000 + 30x)

P(x) = -60x² + 245x - 50000

b. Find the marginal cost as a function of x.

C(x) = 50000 + 30x

C'(x) = 0 + 30 = 30

c. Find the revenue function in terms of x.

R(x) = x · p

R(x) = x · (275 - 60x)

R(x) = -60x² + 275x

d. Find the marginal revenue function in terms of x.

R'(x) = (-60 · 2x) + 275

R'(x) = -120x + 275

The answers do not make a lot of sense, specially the profit and marginal revenue functions. I believe that the question was not copied correctly and the price function should be p = 275 - x/60

<u>ALTERNATIVE 2</u>

a. Find the profit function in terms of x.

P(x) = R(x) - C(x)

P(x) = (-x²/60 + 275x) - (50000 + 30x)

P(x) = -x²/60 + 245x - 50000

b. Find the marginal cost as a function of x.

C(x) = 50000 + 30x

C'(x) = 0 + 30 = 30

c. Find the revenue function in terms of x.

R(x) = x · p

R(x) = x · (275 - x/60)

R(x) = -x²/60 + 275x

d. Find the marginal revenue function in terms of x.

R(x) = -x²/60 + 275x

R'(x) = -x/30 + 275

7 0
3 years ago
How to I find 2/5 of 40 minutes ?
Alex Ar [27]
\frac{2}{5}*40 =2*8=16 minutes
Have a nice day!!! ^^
6 0
3 years ago
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