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Answer:
a) $540 cost to paint
b) 72000 liters to fill
Step-by-step explanation:
Relevant formulas are ...
P = 2(L +W) . . . . perimeter of a rectangle of length L and width W
A = LW . . . . . . area of a rectangle of length L and width W
V = LWH . . . volume of a cuboid of length L, width W, and height H
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a) The total painted area is the area of the pool walls plus the area of the pool bottom. The wall area is the product of pool perimeter and wall height. The bottom area is the product of pool length and width.
A = PH + LW = 2(L +W)H +LW
A = 2(8 m +6 m)(1.5 m) + (8 m)(6 m) = 42 m² +48 m² = 90 m²
At $6 per square meter, the cost of painting the pool is ...
($6 /m²)(90 m²) = $540 . . . . cost to paint the pool
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b) The volume in liters is best figured using the dimensions in decimeters.
V = (80 dm)(60 dm)(15 dm) = 72000 dm³ = 72000 L
72000 liters will be needed to fill the pool.
Hey there! :)
Answer:
We can use the Pythagorean theorem to show that both triangles contain equivalent shorter legs:
Triangle A:
13² = 12² + b²
169 = 144 + b²
25 = b²
b, or the other leg, = 5 cm.
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Triangle B:
c² = 12² + 5²
c² = 144 + 25
c² = 169
c = 13 cm.
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Both triangles contain legs with side-lengths 5, 12, and 13 cm. The triangles are congruent because the lengths of the corresponding sides between triangle A and B are equivalent, which was proved using the Pythagorean Theorem.
Answer:
x-axis
Step-by-step explanation:
Answer:
$815
Step-by-step explanation:
Given data
Principal= $500
Rate= 9%
TIme= 7 years
The simple interest formula is
A=P(1+rt)
substitute
A= 500(1+0.09*7)
A=500(1+0.63)
A= 500*1.63
A=$815
Answer:
10
Step-by-step explanation: