Problem 5
d = 29 = diameter
r = d/2 = 29/2 = 14.5 = radius
SA = surface area of sphere
SA = 4*pi*r^2
SA = 4*pi*(14.5)^2
SA = 841pi
SA = 841*3.14
SA = 2,640.74 square inches
To convert from square inches to square feet, we divide by 144. This is because 12^2 = 144.
2,640.74 square inches = (2,640.74)/144 = 18.3 sq ft
<h3>Answer:
18.3 square feet (approximate)</h3>
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Problem 6
d = 10.7 = diameter
r = d/2 = 10.7/2 = 5.35 = radius
L = 22.3 = slant height
SA = surface area of the cone
SA = pi*r^2 + pi*r*L
SA = pi*(5.35)^2 + pi*5.35*22.3
SA = 147.9275pi
SA = 147.9275*3.14
SA = 464.49235
<h3>Answer:
464.49235 square cm (approximate)</h3>
Based on the given data, the following formula will be useful;
Area of the base, A = pi*r^2
Lateral Area, A(l) = pi*r*sqrt of h^2 + r^2
Surface Area, A(s) = pi*r*(r+sqrt of h^2 + r^2)
Based on the given area of the base, the radius can be calculated and is equal to 3.9088 in. Based on the given lateral area, the h or the lateral edge can be calculated and is equal to 7.8785 in. Given all the information needed, and directly substituting to the above formula for surface area, SA is equal to 156 in^2 (option D)
The perpendicular equation would include a slope that is the opposite reciprocal of the original slope.
Steps:
1. Get x to the other side in the original equation. This making the slope -4 or -4/1.
2. Turn the slope into it’s opposite reciprocal m = 1/4.
3. If you use point-slope form, y - y1 = m( x - x1 ), you can substitute y1 and x1 with the numbers in the point given. But since we previously found the opposite reciprocal, we will replace “m” as well. *By the way, the subtraction of a negative makes a positive. [y + 3 = 1/4( x + 4 )]
4. Solve:
A: Distribute (y + 3 = 1/4x + 1)
B: Subtract 3 from both sides (y = 1/4x -2)
Perpendicular Equation: y = 1/4x - 2
Answer: false
Step-by-step explanation:
I think 1 is -540 and 2 is -290
