Kenny plans to paint the mailbox below. If it costs $3.50 per quart of paint and one quart will cover 10 square feet, how many q
Kenny need to buy 4 quarts.
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It cost $14.
Solution:
The mailbox is splitted into two shapes.
One is rectangle and the other is hemisphere.
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Length of the rectangle = 2.4 ft
Width of the rectangle = 1.5 ft
Height of the rectangle = 3 ft
Surface area of the given rectangle
= 2(lw + wh + lh) – lw
= 2(2.4 × 1.5 + 1.5 × 3 + 2.4 × 3) – (2.4 × 1.5)
= 2(3.6 + 4.5 + 7.2) – 3.6
= 2(15.3) – 3.6
= 27
Surface area of the given rectangle = 27 square feet
Radius of the hemisphere = 1.2 ft
Curved surface area of hemisphere
=
= 9.0432 square feet
Curved surface area of hemisphere = 9.0432 square feet
Total surface area of the mailbox = 27 + 9.0432
= 36.0432 square feet
To find how many quarts are needed to cover the mailbox.
1 Quart covers = 10 square feet
36.0432 sq. ft = 36.0432 ÷ 10
= 3.60432 quarts
≈ 4 quarts (approximately)
Hence Kenny need to buy 4 quarts.
Cost of 1 quart = $3.50
Cost of 4 quart = 4 × 3.50
= 14
Hence it cost $14.
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1
Step-by-step explanation:
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696.348
Step-by-step explanation:
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How are simple interest and compound interest different?
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Given: g(x) = Vx – 4 and h(x) = 2x – 8.What is g(h(10))?
Iteru <2.4K>
jonathanlewisforcongress.com:
g(h(10)) = 43
Step-by-step explanation:
Given: g(x) = 4x – 4 and h(x) = 2x – 8.
We are to find g(h(10))
First we need to get g(h(x))
g(h(x)) = g(2x-8)
Replace x in g(x) with 2x-8 as shown:
g(2x-8) = 4(2x-8)-4
g(2x-8)= 8x-32-5
g(2x-8) = 8x-37
Hence g(h(x)) = 8x-37
g(h(10)) = 8(10)-37
g(h(10)) = 80-37
g(h(10)) = 43
Hence g(h(10)) is 43
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