Answer:
151 in^3
Step-by-step explanation:
The rocket consists of two shapes - a cone and a cylinder
the volume of the plastic = volume of cone + volume of cylinder
volume of a cylinder = nr^2h
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
the diameter is the straight line that passes through the center of a circle and touches the two edges of the circle.
A radius is half of the diameter
Radius = 5/2 = 2.5
Height of cone = 11 - 6 = 5
Volume of plastic = (22/7) x (2/5^2) x 6 + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151
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Answer: 
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Given: 
Find: 
Solution: In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.
<u>Plug in the values</u>
<u>Simplify</u>
As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.
Answer:
Step-by-step explanation:
1.2307692307692.
The first step is to find the proportionality constant.
The formula is
z = kx/y
1.2307692307692 = k * 4/13 Multiply both sides by 13
1.2307692307692 * 13 = 4k
16 = 4*k Divide by 4
k = 16/4
k = 4
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z = k*x/y
x = 9
y = 20
k = 4
z = 4 *9/20
z = 36/20
z = 1.8
The constant of proportionality should be 45 miles per hour, and the car should travel 135 miles in three hours.
