Answer:
x = 30
Step-by-step explanation:
Answer:
42 cubic units
Step-by-step explanation:
3 x 21 x 2
Answer:
see the procedure
Step-by-step explanation:
Remember that
To convert feet to inches multiply by 12
To convert minutes to seconds multiply by 60
we have
Answer:
64√3 ft²
Step-by-step explanation:
The short leg of the triangle has length (8 ft)(cos 60°), or (8 ft)(1/2), or 4 ft.
The long leg (represented by the dashed line) is (8 ft)(sin 60°), or
(8 ft)(√3/2), or 4√3. This is also the width of the horizontal trapezoid.
The area of this horizontal trapezoid is:
(sum of horizontal sides)
A = ------------------------------------- * (width)
2
Here, the area is:
(18 ft + (18 ft - 4 ft)
= ------------------------------------- * (4√3)
2
32 ft
= ----------- * 4√3 = 64√3 ft²
2
The square footage of the path is 47.1 ft²
The area of a circle is:
A = πr²
Where r is the radius of the circle.
Let us assume that the pool is a circle.
Given that the pool has a radius (r₁) of 7 feet and a path 1 foot wide would go round the pool.
Radius of pool and cement path (r₂) = 7 ft + 1 ft = 8 ft.
The square footage of the path = πr₂² - πr₁² = π*8² - π * 7² = 47.1 ft²
Hence The square footage of the path is 47.1 ft²
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