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UNO [17]
3 years ago
8

A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 14 ft wide.

Mathematics
1 answer:
expeople1 [14]3 years ago
6 0

rounded part is a semicircle so the area for that is the area of a circle ÷ 2

so

area of the rectangle + (area of the circle ÷ 2) = answer

24 * 14 = 336 = area of the rectangle

14 ÷ 2 = r

(pi * 7^2) ÷ 2

(pi * 49) ÷ 2 = 153.86 ÷ 2 = 76.93 = area of semicircle

336 + 76.93 = 412.93 ft^2 = answer

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yawa3891 [41]

Answer:

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Step-by-step explanation:

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The equation of a circle is given by:

(x - a)^2 + (y - b)^2 = r^2

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Substituting  (a, b) = (-2, -2) and r = 0.75 into the given equation:

(x - (-2))^2 + (y - (-2))^2 = (3/4)^2\\\\(x + 2)^2 + (y + 2)^2 = (3/4)^2\\\\x^2 + 4x + 4 + y^2 + 4y + 4 = 9/16\\\\x^2 + y^2 + 4x + 4y + 8 = 9/16\\\\16x^2 + 16y^2 + 64x + 64y + 128 = 9\\\\16x^2 + 16y^2 + 64x + 64y  = -119\\\\x^2 + y^2 + 4x + 4y  = -119/16\\

5 0
3 years ago
Evaluate the expression: (–2)2 + (–42) + (18 – 23).
marta [7]

Answer:

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Step-by-step explanation:

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Here, we have open the brackets, and written the respective signs with the integers,

= - 4 - 42 - 5

now, we will perform the integer addition. Adding all the positives together & he negative numbers together

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PS: It happens to be that none of the given options match with the correct answer. But, i have solved taking the expression, i hope it helps

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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