Answer:
706.5 ft²
Step-by-step explanation:
A. Width of the rectangle
The formula for the area of a rectangle is
A = lw
But, l = 3w, so,
A = (3w)w
= 3w² = 12
w² = 4 Divided each side by 3
w = 2 ft Took the square root of each side
B. Length of rectangle
l = 3w = 6 ft
C. Diameter of circle
d = 5l = 5 × 6 = 30 ft
D. Radius of circle
d = 2r
r = d/2 Divided each side by 2
r = 30/2 = 15 ft
E. Area of circle
A = πr² = 3.14 × 15² = 3.14 × 225 = 706.5 ft²
The area of the circle is 706.5 ft².
Answer:
162.4
Step-by-step explanation:
A= 8 * side length * apothem/2
A = 8* 5.8 * 3.5
A = 162.4
Answer: 0.145
Step-by-step explanation:
Since,
the Probability of the older pump failing P(fail older) = 0.10
The probability of the newer pump failing P(fail newer) = 0.05
Therefore,
The Probability of the older pump not failing P(not fail older) = 1 - 0.1
P(not fail older) = 0.9
Also,
The probability of the newer pump not failing P(not fail newer) = 1 - 0.05 = 0.95
The probability of the pumping system failing = P(not fail older)* P(not fail newer) = 0.9*0.95
P(not fail system)= 0.855
Therefore,
The probability that the pumping system will fail = 1 - P(not fail system) = 1 - 0.855 = 0.145
The probability that the pumping system will fail one day is 0.145
Answer:
Here are the steps to find the volume.
Step-by-step explanation:
- Volume = length x width x height.
- You only need to know one side to figure out the volume of a cube.
- The units of measure for volume are cubic units.
- Volume is in three-dimensions.
- You can multiply the sides in any order.
- Which side you call length, width, or height doesn't matter.
C I need to put 20 letters so yea the answer is C