Answer:
D. 2 1/4.
Step-by-step explanation:
First, convert both -5 1/4 and -7 1/2 into improper fraction. These would be -21/4 and -15/2.
-21/4 - (-15/2)
Two negatives in a row make a positive.
-21/4 + 15/2
Double both the numerator and denominator of 15/2 to make it have the same denominator as -21/4. This would 30/4.
-21/4 + 30/4
Put -21 + 30 over 4 to make it a single fraction.
(-21 + 30)/4
Add -21 and 30 to get 9.
9/4
Convert 9/4 into a mixed number: 2 1/4
The answer to -5 1/4 - (-7 1/2) is 2 1/4, which is D.
<span>-3x - 3x = -24
Combine like terms:
- 6x = -24
Divide both side by -6:
x = 4
Answer: x = 4
</span>
Answer:
c
Step-by-step explanation:
Answer:
50 degrees
Step-by-step explanation:
if the ellipse has a major axis of 12 inches, that means its major radius is half that, or 6, and if its minor axis is 7, then its minor radius is half that, 3.5.
![\bf \textit{volume of an elliptical cylinder}\\\\ V=\pi ab h~~ \begin{cases} a=\textit{major axis radius}\\ b=\textit{minor axis radius}\\ h=height\\[-0.5em] \hrulefill\\ a=6\\ b=3.5\\ h=21 \end{cases} \\\\\\ V=\pi (6)(3.5)(21)\implies V\approx 1385.44236023309881816203](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20an%20elliptical%20cylinder%7D%5C%5C%5C%5C%0AV%3D%5Cpi%20ab%20h~~%0A%5Cbegin%7Bcases%7D%0Aa%3D%5Ctextit%7Bmajor%20axis%20radius%7D%5C%5C%0Ab%3D%5Ctextit%7Bminor%20axis%20radius%7D%5C%5C%0Ah%3Dheight%5C%5C%5B-0.5em%5D%0A%5Chrulefill%5C%5C%0Aa%3D6%5C%5C%0Ab%3D3.5%5C%5C%0Ah%3D21%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0AV%3D%5Cpi%20%286%29%283.5%29%2821%29%5Cimplies%20V%5Capprox%201385.44236023309881816203)
