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Nata [24]
3 years ago
12

which formula should be used to find the area of the composite shape? A = 4(1/2Xbh) lw B. A=4bh+lw C. a=4bh+lw d. 2bh+bh The com

posite shape is a four pointed star.

Mathematics
1 answer:
Maslowich3 years ago
5 0

Answer:

D. 2bh+bh

Step-by-step explanation:

You can divide that shape into five separate pieces, 4 triangles and 1 square.

The formula for the area of a triangle is A=1/2bh.

Multiply this by 4 becuase there are 4 triangles and you get A=2bh.

Then you add on the area of the square and you have A=2bh+bh

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3 years ago
The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How m
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Answer:

1083 seats

Step-by-step explanation:

this is an arithmetic sequence :

an = an-1 + c

in our case

a1 = 10 (10 seats in the first row)

a2 = a1 + 1 = 10 + 1 = 11

a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12

an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n

a38 = a1 + 37 = 10 + 37 = 47 seats.

altogether this means the sum of the arithmetic sequence of a1 to a38.

the general sum of an arithmetic sequence from a1 to an is

n×(a1 + an)/2

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38×(10 + 47)/2 = 19×57 = 1083 seats

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2 years ago
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