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astra-53 [7]
3 years ago
11

1. Use the figure shown to complete part a and b.

Mathematics
1 answer:
gregori [183]3 years ago
8 0

Answer:

a) 745.43 cm²

b)129.26 cm

Step-by-step explanation:

a) The area of the figure is the sum of the area of the rectangle and the area of the semicircle.

Keeping this on mind, you have that the area of the figure is:

A_{figure}=A_{rectangle}+A_{semicircle}\\A_{figure}=length*width+\frac{radius^{2}\pi}{2}\\A_{figure}=(25cm)(20cm)+\frac{(12.5cm)^{2}\pi}{2}\\A_{figure}=745.43cm^{2}

b) The perimeter of the figure is:

 P_{figure}=(2length+2width)+\frac{diameter*\pi}{2}=2(25cm)+2(20cm)+\frac{(25cm)\pi}{2}=129.26cm

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8 0
3 years ago
The $414 price charges a store for a small refrigerator consists of the refrigerator's original cost to the store plus a profit
navik [9.2K]

Answer:

<h2>$351.9</h2>

Step-by-step explanation:

the question is not formatted well

<em>A store charges $414 for a small refrigerator, the price consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?</em>

Step one:

given data

we are told that the price of the small refrigerator contains both the original price and 15% profit

mathematically

$414= original price + 15% profit

Step two:

let us solve for 15% of 414

=(15/100)*414

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<u>The refrigerator's original cost to the store $351.9</u>

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