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>
Answer:
Let x is the number of the cannon and y is the number of the row boat.Thus the equation will become
8x+5y=110
The two base angles of an isoceles triangle are equal so we can conclude that
2x - 20 = x + 8
Now we just need to solve for x:
2x - 20 + 20 = x + 8 + 20
2x = x + 28
2x - x = x + 28 - x
x = 28
So, angle B = x + 8 which is 28 + 8 = 36°
The answer is x=1
Add the numbers
Combine like terms
Add
to both sides of the equation
Simplify
Divide both sides of the equation by the same term
