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: dropped by 2.7°
Step-by-step explanation: 102.4-99.7
Answer:
(c). Angle 12 and 9
Step-by-step explanation:
Hello!
6.
Since the area is that of a square, you know that all side lengths are the same.
Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².




The length of the side of a square with an area of 144 in² is
12 in.
7.
Rational number.
8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.
Plug in your leg lengths:
a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4
Answer:
y = (3/2)x - 12
Step-by-step explanation:
Recall that the general equation for a linear function may be written in slope-intercept form:
y = mx + b
where m = slope and b = y-intercept
In this case, it is given that slope = m = 3/2 and y-intercept = b = -12
substituting these values into the general equation:
y = (3/2)x + (-12)
or
y = (3/2)x - 12