5q ≥ 8q - 3/2
<em><u>Add 3/2 to both sides.</u></em>
3/2 + 5q ≥ 8q
<em><u>Subtract 5q from both sides.</u></em>
3/2 ≥ 3q
<em><u>Multiply both sides by 2.</u></em>
3 ≥ 6q
<em><u>Divide both sides by 6.</u></em>
0.5 ≥ q.
The value of q is less than or equal to 0.5.
Answer:
The area of the base is about 32 square meters
Step-by-step explanation:
V = pi times r^2 times h which is the formula.
Since the volume is 288, and the height is 9 it is,
288 = pi times r^2 times 9,
288/9 = pi times r^2 times 9/9
32/pi = pi/pi times r^2
10.2 = r^2
The square root of 10.2 is about 3.19
Area formula is pi times radius, r^2
3.19 times 3.19 or 3.19^2 = 10.1761
10.1761 times pi is 31.96 which is about 32 square meters.
I hope this helps!
Answer:
The answer is "
"
Step-by-step explanation:
When the value of 
has the following properties:
Calculating the value of :
![= 13 \times [ \cos(1.75 \pi ) + i \sin(1.75 \pi) ] \\\\= 13 \times[\cos(1.75 \pi - 2\pi ) + \ i \sin(1.75 \pi - 2\pi )]\\ \\= 13 \times [\cos(-0.25 \pi ) +\ i \sin(-0.25 \pi) ]\\\\= 13 \times [0.707106781 - 0.707106781]\\\\ =9.19 - 9.19\ i \\\\](https://tex.z-dn.net/?f=%3D%2013%20%5Ctimes%20%5B%20%5Ccos%281.75%20%5Cpi%20%29%20%2B%20i%20%5Csin%281.75%20%5Cpi%29%20%5D%20%5C%5C%5C%5C%3D%20%2013%20%5Ctimes%5B%5Ccos%281.75%20%5Cpi%20-%202%5Cpi%20%29%20%2B%20%5C%20i%20%5Csin%281.75%20%5Cpi%20-%202%5Cpi%20%29%5D%5C%5C%20%5C%5C%3D%2013%20%5Ctimes%20%5B%5Ccos%28-0.25%20%5Cpi%20%29%20%2B%5C%20%20i%20%5Csin%28-0.25%20%5Cpi%29%20%5D%5C%5C%5C%5C%3D%2013%20%5Ctimes%20%5B0.707106781%20-%200.707106781%5D%5C%5C%5C%5C%20%3D9.19%20-%209.19%5C%20i%20%5C%5C%5C%5C)
Answer:
172 ft 2
Step-by-step explanation:
SA=2lw+2lh+2hw, for
A=2(lw + lh + hw)=2·(7 · 2+ 8 · 2 + 8 · 7)= 172 ft 2.
Hope this helps,
Best of Luck!
Answer:
49/6
Step-by-step explanation:
8×6= 48
+ the numerator
