If the tax rate on homes in Topeka, Kansas is 2.4 percent of their value and Bonnie owns a $100,000 house, how much will the rea
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Answer:
The value of y that would make O P parallel to L N = 36
Step-by-step explanation:
This is a question on similar triangles. Find attached the diagram obtained from the given information.
Given:
The length of O L = 14
the length of O M = 28
the length of M P = y
the length of P N = 18
Length MN = MP + PN = y + 18
Length ML = MO + OL = 28+14 = 42
For OP to be parallel to LN,
MO/ML = MP/PN
MO/ML = 28/42
MP/PN= y/(y+18)
28/42 = y/(y+18)
42y = 28(y+18)
42y = 28y + 18(28)
42y-28y = 504
14y = 504
y = 504/14 = 36
The value of y that would make O P parallel to L N = 36
Question:
Aubrey has a new art box in the shape of a rectangular prism. The box is 5 inches by 8 inches by 2 inches. The only thing in the art box is a new pink eraser with the dimensions shown below.
0.25 inches by 1 inches by 2 in ches
What is the volume of the art box not taken up by the eraser?
Answer:
Step-by-step explanation:
Given
Volume is calculated as:
First, we calculate the volume of the box:
Next, we calculate the volume of the eraser.
The volume not taken up is calculated as thus: