For #22, you add the fractions in the parentheses first. Since they don’t have the same denominator, you find a common denominator by multiplying 3/4 by 3 and 5/3 by 4. This will give you 9/12 and 20/12. So you now add these two fractions together to get 29/12, which simplifies to 2 5/12. You now have -2/3 + 29/12. -2/3 can be changed to -8/12 by multiplying it by 4 so that they have common denominators. The equation is now -8/12 + 29/12 . Since -8/12 is a negative number, you subtract 8 from 29 to get 21/12. 21/12 can be simplified to 7/4 by diving it by 3. The answer for #22 is 7/4.
Cos10 cos20 -sin10 sin20 = cos(10+20) = cos30 = √3/2
Answer:
l = 7 in; w = 3 in
Step-by-step explanation:
The formula for the area of a rectangle is
A = lw
Data:
A = 21 in²
l = w + 4
Calculation:
21 = (w + 4) × w
21 = w² + 4w
w² + 4w - 21 = 0
(w + 7)(w - 3) = 0
w + 7 = 0 w - 3 = 0
w = -7 w = 3
We reject the negative value, so w = 3 in.
21 = l × 3
l = 7
The rectangle is 7 in long and 3 in wide.
<h2>
Answer:</h2><h2> 750</h2>
Step-by-step explanation:
6x125=750 hope this helps
Vol of sphere =4/3πr³
let the radius of cone be x.
vol of cone =1/3πx²h
when h=r, =1/3πrx²
since they have the same volume,
4/3πr³=1/3πrx²
4πr³=πrx²
x²=4r²
x=2r (radius)
