Circumference = 2 * pi * r, where r is the radius
For this circle, the circumference is 11pi, so 11pi=2*pi*radius. Divide both sides by 2pi and you get r is = to 5.5 inches.
Area of a circle is pi*r^2. Since we just saw that r = 5.5 inches, the circle has an area of 5.5 inches * 5.5 inches * pi or 30.25 pi inches squared.
Answer:
C [-2 < x]
Step-by-step explanation:
-6(x - 2) < 24
________ ___
-6 -6
x - 2 > -4
+ 2 + 2
_________
x > -2
** Whenever you divide\multiply by a negative, you reverse the inequality symbol.
I am joyous to assist you anytime.
Answer:
second quadrant
Step-by-step explanation:
(x, y ) → (x - 5, y + 3 ) means subtract 3 from the original x- coordinate and add 3 to the original y- coordinate.
(- 3, - 2 ) ← in third quadrant
→ (- 3 - 5, - 2 + 3) → (- 8, 1 ) ← in second quadrant
Answer:
Option (b) is correct.
![(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2](https://tex.z-dn.net/?f=%282%5E%5Cfrac%7B1%7D%7B4%7D%20%29%5E4%3D2%5E%5Cfrac%7B1%7D%7B4%7D%20%5Ctimes%202%5E%5Cfrac%7B1%7D%7B4%7D%5Ctimes%202%5E%5Cfrac%7B1%7D%7B4%7D%5Ctimes%202%5E%5Cfrac%7B1%7D%7B4%7D%3D2%5E%7B%28%5Cfrac%7B1%7D%7B4%7D%2B%20%5Cfrac%7B1%7D%7B4%7D%2B%20%5Cfrac%7B1%7D%7B4%7D%2B%20%5Cfrac%7B1%7D%7B4%7D%20%29%7D%3D2%5E%7B1%7D%3D2)
Step-by-step explanation:
Given: ![(2^\frac{1}{4} )^4](https://tex.z-dn.net/?f=%282%5E%5Cfrac%7B1%7D%7B4%7D%20%29%5E4)
We have too choose the correct simplification for the given statement.
Consider ![(2^\frac{1}{4} )^4](https://tex.z-dn.net/?f=%282%5E%5Cfrac%7B1%7D%7B4%7D%20%29%5E4)
Using property of exponents,
We have,
![(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}](https://tex.z-dn.net/?f=%282%5E%5Cfrac%7B1%7D%7B4%7D%20%29%5E4%3D2%5E%5Cfrac%7B1%7D%7B4%7D%20%5Ctimes%202%5E%5Cfrac%7B1%7D%7B4%7D%5Ctimes%202%5E%5Cfrac%7B1%7D%7B4%7D%5Ctimes%202%5E%5Cfrac%7B1%7D%7B4%7D)
Again applying property of exponents ![a^m\times a^m=a^{n+m}](https://tex.z-dn.net/?f=a%5Em%5Ctimes%20a%5Em%3Da%5E%7Bn%2Bm%7D)
We have,
![(2^\frac{1}{4} )^4=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}](https://tex.z-dn.net/?f=%282%5E%5Cfrac%7B1%7D%7B4%7D%20%29%5E4%3D2%5E%7B%28%5Cfrac%7B1%7D%7B4%7D%2B%20%5Cfrac%7B1%7D%7B4%7D%2B%20%5Cfrac%7B1%7D%7B4%7D%2B%20%5Cfrac%7B1%7D%7B4%7D%20%29%7D)
Simplify, we have,
![(2^\frac{1}{4} )^4=2^{\frac{4}{4}}](https://tex.z-dn.net/?f=%282%5E%5Cfrac%7B1%7D%7B4%7D%20%29%5E4%3D2%5E%7B%5Cfrac%7B4%7D%7B4%7D%7D)
we get,
![(2^\frac{1}{4} )^4=2^{1}=2](https://tex.z-dn.net/?f=%282%5E%5Cfrac%7B1%7D%7B4%7D%20%29%5E4%3D2%5E%7B1%7D%3D2)
Thus, ![(2^\frac{1}{4} )^4=2](https://tex.z-dn.net/?f=%282%5E%5Cfrac%7B1%7D%7B4%7D%20%29%5E4%3D2)
Option (b) is correct.
90ft by 7ft gives an area of:
90 x 7 = 630 sq ft
1/2 fl oz is needed for each square foot
630 x 1/2 = 315 fl oz required.