Hello!
The area of a cylinder formula- Area = Pi * radius squared * height
<span>In this case we are looking for height (altitude) </span>
<span>plug in our known values </span>
<span>500 = area </span>
<span>4 = radius </span>
<span>Pi ~ 3.141592654 </span>
<span>to find height... </span>
<span>500 = 3.141592654 * (4)^2 * height </span>
<span>500 = 3.14 * 16 * height </span>
<span>500 = 50.26 * height </span>
<span>divide both sides by 50.26.. </span>
<span>9.947 = height
</span>
<span>9.95 is the Correct Answer ( letter C)
</span>
Hope this Helps! Have A Wonderful Day! :)
Answer:
504 in
Step-by-step explanation:
8 × 12 × 6 = 576
Then find the volume of the part that is taken out.
2 × 6 × 6 = 72
and now subtract them
576 - 72 = 504
so your answer is 504in
Answer:
6/20 and 9/30
Step-by-step explanation:
Any fraction that can be simplified to 3/10 by dividing the numerator and the denominator is considered equivalent. If you look at the fractions above 6/20 is literally the same thing as 3/10 but I just multiplied the 3 and 10 times 2. As long as you multiply/divide both the numerator and the denominator by the same number the answer you get should be equivalent.
By some properties of logarithms, rewrite the equation as
so that
(<em>a</em> - 2<em>b</em>)² = <em>ab</em>
Expand the left side:
<em>a</em> ² - 4<em>ab</em> + 4<em>b</em> ² = <em>ab</em>
Rearrange terms to get a quadratic equation in <em>a</em>/<em>b</em> :
<em>a</em> ² - 5<em>ab</em> + 4<em>b</em> ² = 0
<em>b</em> must be greater than 0, otherwise log(<em>b</em>) doesn't exist, and the same goes for <em>a</em>. So we can divide by <em>b</em> ² to get
<em>a</em> ²/<em>b</em> ² - 5<em>a</em>/<em>b</em> + 4 = 0
Factorize and solve for <em>a</em>/<em>b</em> :
(<em>a</em>/<em>b</em> - 4) (<em>a</em>/<em>b</em> - 1) = 0
==> <em>a</em>/<em>b</em> = 4 or <em>a</em>/<em>b</em> = 1
However, if <em>a</em>/<em>b</em> = 1, then <em>a</em> = <em>b</em> makes <em>a</em> - 2<em>b</em> = -<em>b</em>. But we must have <em>b</em> > 0, so we omit the second solution and end up with
<em>a</em>/<em>b</em> = 4
