area of the opening 14.93 sq. inch.
From this statement "the area of the opening may be expressed as the function: a(θ) = 16 sin θ ⋅ (cos θ + 1).
if θ = 30°
We can substitute 30° in the expression a(θ) = 16 sin θ ⋅ (cos θ + 1) to get the area of the opening.
The area of the opening = 16 sin 30 ⋅ (cos 30 + 1)
= 16x0.5 (0.866 + 1)
= 8(1.866)
= 14.93 sq. inch.
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This is problem of ratio and proportion. to solve this, fisrt is calculate the convertion factor.
so the house is 30 feet in actual and 4 in wide on drawing
30 feet / 4 in = 7.5 feet / inso in every inch in the drawing is equivalent to 7.5 feet on actual.
1.2 in ( 7.5 ft/ in) = 9 ft
1.6 in ( 7.5 ft/ in) = 12 ft
Answer:
Area : 27.5
Perimeter : 20
Step-by-step explanation:
All sides of a regular pentagon have the same length
1 side = 4
4x5 = 20 = Perimeter
Pentagon area formula :
1/4(sqrt(5(5+2sqrt(5)))x)
Plug x in (side length)
27.53
round to nearest tenth
27.5
Answer: 27 cm
Step-by-step explanation:
We know that the volume of a cylinder is 
. Since we were given the volume and radius, we can plug them in and solve for height.
[divide both sides by π]
[exponent]
[divide both sides by 25]
Now, we know that the height is 27 cm.
