The SA of a sphere is 4 times the area of the base of if you cut it in half. So that would mean that that would be (9/4)pi yd2. Pi*r^2=area of a circle, so that means the radius is 3/2 yds.
<span>The volume of a sphere is (4/3)*pi*r^3. If we plug in the radius, we get: </span>
<span>(4/3)*pi*(3/2)^3 </span>
<span>(4/3)*pi*(27/8) </span>
<span>(27/6)pi, or 4 and 1/2 pi </span>
<span>If you want an actual number with pi used, you get about 14.137166952</span>
2/3 is the simplest form of 20/30
Answer:
x = 29 and y = 26
Mr. Micklow's age is 29 years and Ms. Craft's age is 26 years
Step-by-step explanation:
Mr. Micklow's age is x and Ms. Craft's age is y
∵ The sum of their ages is 55
∴ x + y = 55 ⇒ (1)
∵ The difference between their ages is 3
∴ x - y = 3 ⇒ (2)
Now you have a system of equation let us solve it
Add equation (1) and (2) to eliminate y
∵ (x + x) + (y - y) = (55 + 3)
∴ 2x = 58
- Divide both sides by 2
∴ x = 29
Substitute the value of x in equation (1) or (2) to find y
∵ 29 + y = 55
- Subtract 29 from both sides
∴ y = 26
Mr. Micklow's age is 29 years and Ms. Craft's age is 26 years
The mean average is 8 and the variance is 10.5.
<h3>Solution :</h3>
![\tt (7 - 2y) (7 +2y)](https://tex.z-dn.net/?f=%20%5Ctt%20%287%20-%202y%29%20%287%20%2B2y%29)
<u>By using identinty</u> :
![\large \underline{\boxed{\bf{(a-b)(a+b) = a^2 - b^2}}}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cunderline%7B%5Cboxed%7B%5Cbf%7B%28a-b%29%28a%2Bb%29%20%3D%20a%5E2%20-%20b%5E2%7D%7D%7D)
![\tt : \implies (7 - 2y) (7 +2y) = (7)^{2} - (2y)^{2}](https://tex.z-dn.net/?f=%20%5Ctt%20%3A%20%5Cimplies%20%287%20-%202y%29%20%287%20%2B2y%29%20%3D%20%287%29%5E%7B2%7D%20-%20%282y%29%5E%7B2%7D)
![\tt : \implies (7 - 2y) (7 +2y) = 49 - 4y^{2}](https://tex.z-dn.net/?f=%20%5Ctt%20%3A%20%5Cimplies%20%287%20-%202y%29%20%287%20%2B2y%29%20%3D%2049%20-%204y%5E%7B2%7D)
![\large \underline{\boxed{\bf{(7 - 2y) (7 +2y) = 49 - 4y^{2}}}}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cunderline%7B%5Cboxed%7B%5Cbf%7B%287%20-%202y%29%20%287%20%2B2y%29%20%3D%2049%20-%204y%5E%7B2%7D%7D%7D%7D)
Hence, value of (7 - 2y) (7 +2y) is 49 - 4y².