Answer:
5) 18.8 cm
7) 49.5 ft
Explanation:
The formula for arc length is S = θ * r
5) S = 18 cm * Pi/3 (60 degrees in radians)
S = 6 Pi cm
S ≈ 18.8 cm
7) S = 9 ft * 7 Pi / 4
S = 63 Pi ft / 4
S ≈ 49.5 ft
Answer:
32
Step-by-step explanation:
The sides of the quadrilateral are tangents to the circle.
Tangents drawn from an external point to the circle are congruent
5+5+4+4+3+3+4+4=32
Before we begin, let's cross out "the small wheel could have an 18 inch diameter". This is useless information and should be disregarded to avoid confusion. Lots of questions include extraneous information to make you second guess yourself, so it is important to be aware of what the question is asking you and what you need in order to answer it.
The formula for circumference is
x diameter. With this formula, we can substitute the value of the diameter, 52, into the equation.
Circumference = 3.14 x 52
Circumference = 163.28
Final Answer: the circumference of the big wheel is 163.28 inches
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Answer:
The inequality represents the length of the femur for which the woman had a height greater than 160cm.
Step-by-step explanation:
The given equation is
Where, h is woman's height in centimeters and f is length of the femur in centimeters.
If woman's height is greater than 160cm, then
Substract 60 from both sides.
Divide both sides by 2.5.
Therefore the inequality represents the lengths of the femur for which the woman had a height greater than 160cm.
Answer:
11,448 in²
Step-by-step explanation:
The area can be computed from ...
... A = 2(LW +H(L+W))
For the given prism, the area will be ...
... A = 2(18·12 +14(18+12)) = 2(216 +420) = 1272 . . . . in²
The area of a similar figure with dimensions 3 times as long will be 3² times as much. The area of the new figure is ...
... A = 3²×(1272 in²) = 11,448 in²