3 years ago

Help please — geometry/trig

Mathematics

1 answer:

Svetach [21]3 years ago

6 0

Answer:

16.26

Step-by-step explanation:

To find the angle of C, use the inverse sine function.

$Sin^{-1}(sin c) = Sin^{-1} \frac{7}{25}\\\\c = Sin^{-1} \frac{7}{25}\\\\c = 16.26$

Type into your calculator 7/25 = 0.28. Then type the $sin^{-1}$ key to find 16.26 degrees.

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What is the next number in the arithmetic sequence below

hoa [83]

Answer:

Step-by-step explanation:

The common difference d, between the terms is

d = - 9 - 3 = 3 - 15 = 15 - 27 = - 12

To find the next term in the sequence subtract 12 from the previous term

⇒ - 9 - 12 = - 21 ← is the next term in the sequence

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Let f(x) = 7x − 13. Find f−1(x).

PIT_PIT [208]

F(x) = 7x − 13
To find f(-x) , just replace x with -x:

f(-x) = 7(-x) - 13

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A heavy rope, 30 ft long, weighs 0.4 lb/ft and hangs over the edge of a building 80 ft high. Approximate the required work by a

gizmo_the_mogwai [7]

Answer:

180 fb*lb

45 ft*lb

Step-by-step explanation:

We have that the work is equal to:

W = F * d

but when the force is constant and in this case, it is changing.

therefore it would be:

$W = \int\limits^b_ a {F(x)} \, dx$

Where a = 0 and b = 30.

F (x) = 0.4 * x

Therefore, we replace and we would be left with:

$W = \int\limits^b_a {0.4*x} \, dx$

We integrate and we have:

W = 0.4 / 2 * x ^ 2

W = 0.2 * (x ^ 2) from 0 to 30, we replace:

W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)

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Now in the second part it is the same, but the integral would be from 0 to 15.

we replace:

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Step-by-step explanation:

It has two of the same domain

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