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Tems11 [23]
3 years ago
10

Jack knows the surface area of a cylinder and its radius. He wants to find the cylinder's height. He needs to rewrite the formul

a to find the cylinder's height (h) in terms of the cylinder’s surface area (A) and its radius (r). Which is the correct formula? A. h=r+A/2nr B. h=A/2nr C. h=A/2nr^-r^2 D. h=A/2nr^-r
Mathematics
1 answer:
mash [69]3 years ago
7 0

Answer:

h = A/πr²

Step-by-step explanation:

Surface area (A) of a cylinder = πr² × height (h) , where r is the radius.

h = A ÷ πr² = A/πr²

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Answer:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
Show tan(???? − ????) = tan(????)−tan(????) / 1+tan(????) tan(????)<br> .
anyanavicka [17]

Answer:

See the proof below

Step-by-step explanation:

For this case we need to proof the following identity:

tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}

We need to begin with the definition of tangent:

tan (x) =\frac{sin(x)}{cos(x)}

So we can replace into our formula and we got:

tan(x-y) = \frac{sin(x-y)}{cos(x-y)}   (1)

We have the following identities useful for this case:

sin(a-b) = sin(a) cos(b) - sin(b) cos(a)

cos(a-b) = cos(a) cos(b) + sin (a) sin(b)

If we apply the identities into our equation (1) we got:

tan(x-y) = \frac{sin(x) cos(y) - sin(y) cos(x)}{sin(x) sin(y) + cos(x) cos(y)}   (2)

Now we can divide the numerator and denominato from expression (2) by \frac{1}{cos(x) cos(y)} and we got this:

tan(x-y) = \frac{\frac{sin(x) cos(y)}{cos(x) cos(y)} - \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{sin(x) sin(y)}{cos(x) cos(y)} +\frac{cos(x) cos(y)}{cos(x) cos(y)}}

And simplifying we got:

tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}

And this identity is satisfied for all:

(x-y) \neq \frac{\pi}{2} +n\pi

8 0
3 years ago
Question
creativ13 [48]

The cost to cover the cirular region with mud is about $2940

<h3>How to calculate area?</h3>

The circumference of the circular region is about 157 feet. Hence:

circumference = 2π * radius

157 = 2π * radius

Radius = 78.5 / π

The area is given as:

Area = π * radius² = π(78.5 / π)² = 1961.5 ft²

Cost = $1.5 * 1961.5 = $2940

The cost to cover the cirular region with mud is about $2940

Find out more on area at: brainly.com/question/25292087

5 0
3 years ago
Please help. Thank you so much. I’ll mark branliest for the right answers and explanation. :)
Rom4ik [11]

Answer:

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the ones that are int the bracket are the formulas asap

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