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hodyreva [135]
4 years ago
11

The figure below shows half circles at the ends of a rectangle with the demensions shown. Which is closest to the area of the fi

gure in square inches?
75
95
106
154

Mathematics
1 answer:
loris [4]4 years ago
7 0
The closest answer is 95 square inches. Here is why.  You can find the area of the rectangle by multiplying the length by the width.  This would be 15 x 5 = 75 square inches.  The area of the whole circle that is created when you put both halves together would be found by multiplying 3.14 x 2.5 in (the radius) x 2.5 in.  This answer is about 20 square inches.  The combined area is approximately 95 square inches.
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Last one i need help with to move on! I have a pic of the question
adoni [48]

length = 4 yards and width = 3.5 yards

let width be w then length is 2w - 3

area = w(2w - 3) = 14 (rearrange in standard form )

2w² - 3w - 14 = 0 ← in standard form

(2w - 7 )(w + 2 ) = 0 ← in factored form

equate each factor to zero and solve for w

2w - 7 = 0 ⇒ w = 3.5

w + 2 = 0 ⇒ w = - 2

but w > 0, hence w = 3.5

width = 3.5 yards and length = (2 × 3.5 ) - 3 = 4 yards


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serious [3.7K]

17.

x = -2 is not a solution of -1 < x < 5 because -2 < -1 (-1 < -2 < 5 FALSE).

18.

m = 5 is a solution of 5 ≤ m because 5 ≤ 5 ( 5 ≤ m → m ≥ 5 greater than 5 or equal 5, 5 is equal 5)

19.

k = 10 is not solution of 2k - 3 < 1 because:

put the value of k to the inequality:

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