Answer:
29
Step-by-step explanation:
5^2=25
2^2=4
25+4=29
Answer:

Step-by-step explanation:
SA = SA(prism) + SA(cylinder) – 2SA(cylinder base)
1. Surface area of rectangular prism
The formula for the surface area of a rectangular prism is
S = 2(lw + lh + wh)
Data:
l = 16 in
w = 11 in
h = 11 in
Calculations:
2(Top + Bottom) = 2lw = 2 × 16 × 11 = 352 in²
2(Front + Back) = 2lh = 2 × 16 × 11 = 352 in²
2(Left + Right) = 2wh = 2 × 11 × 11 = <u>242 in²
</u>
Total area = 946 in²
2. Surface area of cylinder
A = A(top) + A (base) + A(side) = 2A(base) + A(side)
Data:
d = 8 in
h = 9 in
Calculations:
r = ½d = ½ × 8 = 4 in

3. Excluded area
Excluded area = 2A(base) = 100.48 in²
4. Total area

<h3>
Answers:</h3><h3>
x = 12</h3><h3>
Angle B = 45 degrees</h3>
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Explanation:
Angles A and B are alternate exterior angles.
Due to the parallel lines, alternate exterior angles are congruent
A = B
5x-15 = 2x+21
5x-2x = 21+15
3x = 36
x = 36/3
x = 12
Use this x value to find the measure of angle B
angle B = 2x+21
angle B = 2*12+21
angle B = 24+21
angle B = 45 degrees
As a check,
angle A = 5x-15
angle A = 5*12+15
angle A = 60-15
angle A = 45 degrees
Since A and B are both 45 degrees, this confirms the correct x value
Answer:
Step-by-step explanation:
x=6