Answer:
114°
Step-by-step explanation:
<A=<B (corresponding angles)
6x+12=3x+63
6x-3x=63-12
3x=51
Dividing both sides by 3
x=17
Now
<A=6x+12
=6(17)+12
=102+12
=114°
3y + 2 + 2y + 7 = 10y - 11
5y + 9 = 10y - 11
20 = 5y
4 = y
RS = 14
ST = 15
RT = 29
The volume of the cylinder that has a radius of 7 ft and a height of 5 ft in the geometry will be 769.7 ft³.
<h3>How to illustrate the geometry?</h3>
It should be noted that the volume of a cylinder is given as:
= πr²h
where,
π = 3.142
r = radius = 7
h = height = 5
Therefore, the volume will be:
= πr²h
= 3.142 × 7² × 5
= 3.142 × 49 × 5
= 769.7 ft³
Learn more about geometry on:
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Option B:
Surface area of the solid is 730 square millimeters.
Solution:
Area of the rectangle = length × breadth
Length of the top net = (25 + 8 + 8) mm = 41 mm
Breadth of the top net = 5 mm
Area of the Top net = 41 mm × 5 mm
= 205 square mm
Area of the second net = 25 mm × 8 mm
= 200 square mm
Area of the third net = 25 mm × 5 mm
= 125 square mm
Area of the bottom net = 25 mm × 8 mm
= 200 square mm
Surface area of the solid = 205 mm + 200 mm + 125 mm + 200 mm
= 730 square mm
Hence surface area of the solid is 730 square millimeters.
Option A is the correct answer.
