Answer:
SA = 156π
Step-by-step explanation:
The formula for surface area of a cylinder is
SA = 2πr² + 2πrh where r is the base radius, and h is the height.
We are given r = 6 and h = 7. Plug in those values and evaluate...
SA = 2π(6²) + 2π(6)(7)
SA = 2π(36) + 2π(42)
SA = 72π + 84π
SA = 156π
Answer:
96 degrees
Step-by-step explanation:
The 144 degrees is on a straight line, meaning the angle next to it inside the triangle and 144 are supplementary. They add up to 180 degrees.
Coincidentally, the other two angles plus the third, unlabeled angle will add up to 180 degrees as well, meaning that the the 48+x = 144 degrees (according the property of equality, which is if a=b and b=c, then a=c). Solve for x from there:
x = 144-48
x = 96
Answer:
(x-3), 4 (x - 3)^2 (x + 3) (2 x + 7)
Step-by-step explanation:
Factor all the expressions,
1st expression= 4x^2 - 36=4(x^2-9)=4(x+3)(x-3)
2nd expression=2x^2 - 12x + 18 =2(x^2-6x+9)=2 (x - 3)^2=2(x-3)(x-3)
3rd expression=2x^2 + x - 21=(x - 3) (2 x + 7)
HCF=Commo factor=(x-3)
LCF=Common factor*Remaining factor=4(x+3)(x-3)(x-3) (2 x + 7)=4 (x - 3)^2 (x + 3) (2 x + 7)
Answer:
Each classmate received 1/16
Step-by-step explanation:
5/8= 0.625
0.625 ÷ 10 = 0.0625
= 1/16
Answer:
a)
$2.79 per pound.
$0.93 per apple.
b)
Unit price per pound is typically used because weight and size of every apple is not same.
Step-by-step explanation:
5 pound bag of organic apples = $13.95
1 pound bag of organic apples = $13.95/5
= $2.79
The unit price of apples that cost $13.95 for 5 pounds is $12.79 per pound.
<em>As a general rule, 1 pound of apples is equal to: 4 small apples. 3 medium apples. 2 large apples. So, here we assume that apples are of medium size.</em>
3 apples cost = $2.79
<em>The unit price means 'what is the cost of 1 apple'</em>
1 apple cost =$2.79/3
=$0.93
The unit price of apples that cost $2.79 for 3apples is $0.93 per apple.
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