I need help with the coordinate plane
1 answer:
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Answer:
The answer to the question is
37.5 ft² of fabric is needed to make the parallelogram pieces for 24 blocks.
Step-by-step explanation:
To answer the question, we note that a parallelogram is a four sided polygon having two opposite parallel sides.
Therefore in this question, we select our parallelogram to be a rectangle
Number of pieces of parallelogram in a quilted block = 8
Number of parallelogram in each quadrant of the quilted block = 2
Therefore the height of the rectangle = 2 × the base = 2× = 7.5 inches
Therefore the area of each parallelogram = base × height
= =
in²
since each quilted block uses 8 parallelogram, then the amount of fabric for each quilted block is
Hence 24 blocks wil require 24×225 in² = 5400 in²
However, since 144 in² = 1 ft² we have
5400 in² = 5400 in²× 1/144 ft²/in² = 37.5 ft².
We have that the fourth term of an arithmetic sequence is
a_4=14
Option C
From the question we are told
What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?
A) 78
B) 32
C) 14
(Explain your work)
Generally the equation for the arithmetic sequence is mathematically given as
Therefore
For seventh term
Therefore
For Fourth term
a_4=14
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