3 years ago

The circumference of a circle is 53.38 centimeters. What is the area in square centimeters. Use 3.14 for ×

1 answer:

4 0

Circumference = πD

53.38 = 3.14D

D = 53.38 ÷ 3.14 = 17

Diameter = 17 cm

Radius = Diameter ÷ 2 = 17 ÷ 2 = 8.5 cm

Area = πr² = 3.14 x (8.5)² = 226.87 cm² (nearest hundredth)

Answer: 226.87 cm²

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Given f(x) = 2x + 3 and g(x) = x - 9, what is f(x) + g(x)?

Orlov [11]

Solution:

f(x) = 2x + 3
g(x) = x - 9

f(x) + g(x)
= (2x + 3) + (x - 9)
= 2x + x + 3 - 9
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6 0

3 years ago

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2 years ago

Suppose an aquarium has a length of 4 feet, a width of 2 feet, and is filled with water to a depth of 9 feet. A reef is placed i

BigorU [14]

Answer:

$24ft^3$

Step-by-step explanation:

The information that we kow about the shape of the aquarium:

length:

$l=4ft$

width:

$w=2ft$

when the reef is submerged, the water level rises 3 feet. The volume that those 3 ft represent in the aquarium will be the volume of the reef.

Thus, we calculate the volume of water "addition" with the same length and width as the aquarium but with a deep of 3 feet (thi is because the reef caused the water to rise 3 feet), and this is the volume of the reef that was added to the aquarium:

$V=4ft*2ft*3ft\\V=24ft^3$