Answer:
1/3
Step-by-step explanation:
The reciprocal of a number is 1 divided by the number.
The reciprocal of 3 is 1 divided by 3, or simply 1/3.
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
<h3>
Answer: 19</h3>
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Explanation:
T is the midpoint of PQ, which means T splits PQ into two equal parts. Those parts being PT and TQ.
Set them equal to each other and solve for x.
PT = TQ
3x+7 = 7x-9
3x-7x = -9-7
-4x = -16
x = -16/(-4)
x = 4
So,
PT = 3x+7 = 3*4+7 = 19
TQ = 7x-9 = 7*4-9 = 19
Both PT and TQ are 19 units long to help confirm the answer.
Answer:
5x + y = 8
Step-by-step explanation:
Given the equations:
x+3y=10 ____ (1)
2x−y=−1 ____ (2)
Multiply (2) by 2
2(2x - y = - 1) = 4x - 2y = - 2
4x - 2y = - 2 - - - (3)
Add (1) and (3)
4x - 2y = - 2
x + 3y = 10
___________
5x + y = 8
_________