well, if the diameter is 5, thus its radius must be half that, or 2.5, and therefore, the radius of the one four times as much will be (4)(2.5).
Let's simply get their difference, since that'd be how much more is needed from the smaller to larger sphere.
![~\hfill \stackrel{\textit{surface area of a sphere}}{SA=4\pi r^2}\qquad \qquad r=radius~\hfill \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\large difference of their areas}}{\stackrel{\textit{radius of (4)(2.5)}}{4\pi (4)(2.5)^2}~~ - ~~\stackrel{\textit{radius of 2.5}}{4\pi (2.5)^2}}\implies 100\pi -25\pi \implies 75\pi ~~ \approx ~~235.62~ft^2](https://tex.z-dn.net/?f=~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Bsurface%20area%20of%20a%20sphere%7D%7D%7BSA%3D4%5Cpi%20r%5E2%7D%5Cqquad%20%5Cqquad%20r%3Dradius~%5Chfill%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7B%5Clarge%20difference%20of%20their%20areas%7D%7D%7B%5Cstackrel%7B%5Ctextit%7Bradius%20of%20%284%29%282.5%29%7D%7D%7B4%5Cpi%20%284%29%282.5%29%5E2%7D~~%20-%20~~%5Cstackrel%7B%5Ctextit%7Bradius%20of%202.5%7D%7D%7B4%5Cpi%20%282.5%29%5E2%7D%7D%5Cimplies%20100%5Cpi%20-25%5Cpi%20%5Cimplies%2075%5Cpi%20~~%20%5Capprox%20~~235.62~ft%5E2)
Answer:
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Step-by-step explanation:
Answer:
For each of the three basic trig functions, (sin, cos, tan) there are three more which act as their reciprocals. (csc, sec, and cot respectively)
Reciprocals, of course, are flipped fractions. If you have some number x, the reciprocal can be expressed as .
An important property of reciprocals is that if you mutliply them together they will cancel out--take for example.
Since secӨ is literally defined as the reciprocal of cosӨ, it is evident that
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Step-by-step explanation:
Given:
In triangle GHJ, ∠G = 110°, ∠J = 40° and ∠H = 30°.
To find:
The answer to complete the given statements.
Solution:
According to triangle side and angle relationship, largest angle has longest opposite side and smallest angle has shortest opposite side.
∠G = 110°, ∠J = 40° and ∠H = 30°.
Here, ∠G > ∠J = 40° and ∠G > ∠H. So, ∠G is the Largest angle.
Since angle G is largest angle, the opposite side, JH, is longest.
Clearly,
110° > 40° > 30°.
∠G > ∠J > ∠H
Using triangle side and angle relationship, we get
JH > GH > GJ
The order of the side lengths from longest to shortest is JH, GH ahd GJ.
That means she will start saving $44 a month instead of the $40 she was saving bafore
