Since I can't draw a model the answer is equal because if you reduce 6/8 the answer is 3/4
Answer:
it might be b and d
Step-by-step explanation:
Answer:
1/16
Step-by-step explanation:
So if you want to divide an amount equally, you divide the numbers. In this scenario, what you would do is this:
1/2 needs to be split 8 times
(1/2)/8
If you have something like this where the numerator is a fraction, then you multiply 2x8. that gives you 16, so now you add the 1 on top and you get 1/16.
Answer:
The answer is 6.5 hours.
Step-by-step explanation:
If you multiply the hours need to work during that week days(6) and the hours worked during the weekend(3.5) you get 33.5 hours worked over all. then, you subtract 40(the hours wanted) and 33.5(the hours worked normally) and you get 6.5.
Step-by-step explanation:
4.
⇒ ![V = \pi r^{2}h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20r%5E%7B2%7Dh)
⇒ ![V = \pi(10)^{2}(40)](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%2810%29%5E%7B2%7D%2840%29)
⇒ ![V = 4000\pi](https://tex.z-dn.net/?f=V%20%3D%204000%5Cpi)
⇒ ![V = 12566.4cm^{3}](https://tex.z-dn.net/?f=V%20%3D%2012566.4cm%5E%7B3%7D)
5.
⇒ ![V = \frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
⇒ ![V = \frac{1}{3}\pi (8)^{2}(h)](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%288%29%5E%7B2%7D%28h%29)
As we know the radius and slant height, we can use Pythagoras' Theorem to find the perpendicular height.
⇒ ![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D)
⇒ ![(8)^{2} + h^{2} = 20^{2}](https://tex.z-dn.net/?f=%288%29%5E%7B2%7D%20%2B%20h%5E%7B2%7D%20%3D%2020%5E%7B2%7D)
⇒ ![h = \sqrt{20^{2} - 8^{2}}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%7B20%5E%7B2%7D%20-%208%5E%7B2%7D%7D)
⇒ ![h = 4\sqrt{21}](https://tex.z-dn.net/?f=h%20%3D%204%5Csqrt%7B21%7D)
Now substitute this into the volume formula.
⇒ ![V = \frac{1}{3}\pi (8)^{2}(4\sqrt{21})](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%288%29%5E%7B2%7D%284%5Csqrt%7B21%7D%29)
⇒ ![V = \frac{256\sqrt{21} }{3}\pi](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B256%5Csqrt%7B21%7D%20%7D%7B3%7D%5Cpi)
⇒ ![V = 1228.5mm^{3}](https://tex.z-dn.net/?f=V%20%3D%201228.5mm%5E%7B3%7D)
6.
⇒ ![V = l^{3}](https://tex.z-dn.net/?f=V%20%3D%20l%5E%7B3%7D)
⇒ ![V = (3.1)^{3}](https://tex.z-dn.net/?f=V%20%3D%20%283.1%29%5E%7B3%7D)
⇒ ![V = 29.8inches^{3}](https://tex.z-dn.net/?f=V%20%3D%2029.8inches%5E%7B3%7D)
7.
⇒ ![V = \frac{1}{3}lwh](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7Dlwh)
⇒ ![V = \frac{1}{3}(12)(4)(6)](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%2812%29%284%29%286%29)
⇒ ![V = 96inches^{3}](https://tex.z-dn.net/?f=V%20%3D%2096inches%5E%7B3%7D)