we have
<u>Find the greatest common factor GCF</u>
we know that
so
The GCF is equal to
therefore
<u>the answer is</u>
The number is
QUESTION 2
1 answer:
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Check picture below
recall
recall
Step-by-step explanation:
Let n be the number of nickels that Casey has.
We are told that Megan has 4 times as many nickels as Casey has, therefore, the number of nickels that Megan has will be 4*n.
Now we will add the amounts of nickels that Casey and Megan have to find the total amount of nickels.
Therefore, the expression will represent the total number of nickels that Casey and Megan have .
Upon combining like terms we will get,
Therefore, Casey and Megan have 5n nickels.
Answer:
62m³
Step-by-step explanation:
The question is incomplete. Find the diagram of the prism attached below.
Volume of a Prism = Base area × Height
Given height = 9m
Since the prism is a triangular based prism,
Base area = area of the equilateral triangle = 1/2bh
base of the triangle = 4m
Height can be gotten using Pythagoras theorem.
Slant side of the triangle is the hypotenuse = 4m
Adjacent = 1/2 of the base = 1/2(4)= 2m
Height = √4²-2²
Height = √16-4
Height of the triangle= √12 m
Base Area = 1/2×4×√12
Base Area = 2√12 m
Volume of the prism = 2√12 × 9
= 2×2√3×9
= 36√3 m³
= 62.2m³
Volume of the prism is approximately 62m³
