Answer:
A. 232 in²
B. 216 in²
Step-by-step explanation:
A. Box A is a cuboid/rectangular prism.
Surface area of box A = 2(LW + LH + WH)
L = 10 in
W = 2 in
H = 8 in
Surface area = 2(10*2 + 10*8 + 2*8)
= 2(20 + 80 + 16) = 2(116)
Surface area = 232 in²
B. Surface area of B = surface area of cube
Surface area of cube = 6s²
s = 6 in
Surface area = 6(6²)
= 6(36)
= 216 in²
8x + 3y = 20.50
-
4x+5y=22.50
=
4x-2y=-2, so you have to divide each number by 2, then
2x-y=-1, so
-y=-1-2x /-1, y=1+2x, then replace it with one original equation like the first one for instance:
8x+3(1+2x)=20.50, then
8x+3+6x=20.50, then
14x=20.50-3
14x=17.5
x=1.25, then solve y:\
y=1+2*(1.25)
y=1+2.5
y=3.5,
So answer is x=1.25, and y=3.5
Answer:
k-l= 7 -3
6 0
Step-by-step explanation:
k-l=13 7 - 6 10
25 18 19 18
= 13-6 7-10
25-19 18-18
= 7 -3
6 0
A few tips:
- If the numbers are in negatives, the greatest number should be the closest from 0.
- If the numbers are in positives, the greatest number should be farthest from 0
- If the numbers are in positives and negatives, the number which is farthest from 0 will be the greatest.
Solution (Verification for Option A):
<u>In this case, all the numbers are in negatives.</u>
- => -3 > -4 > -7 > -8 > -9 (Correct)
Solution (Verification for Option B):
<u>In this case, a few numbers are in positives and in negatives.</u>
- => 9 > 7 > 6 > -5 > 4 (Incorrect)
Solution (Verification for Option C):
<u>In this case, a few numbers are in positives and in negatives.</u>
- => 8 > -6 > 5 > -4 > 1 (Incorrect)
Solution (Verification for Option D):
<u>In this case, a few numbers are in positives and in negatives.</u>
- => -3 > -1 > 0 > 2 > 7 (Incorrect)
Conclusion:
Answer:
(D) 30pi inches
Step-by-step explanation:
First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.
We set the formula equal to the volume and replace h with 30 in.
Divide both sides by 30pi in.
Take the square root of each side.
The radius of the base is 15 in.
Now we use the radius of the base and the formula of the circumference of a circle to find the answer.