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Andrei [34K]
3 years ago
15

Could someone answer this and explain an easier way to do this?

Mathematics
1 answer:
goblinko [34]3 years ago
3 0

Answer:

Area of the figure = 109 cm. square

Step-by-step explanation:

The radius of the semi circle is 12 ÷ 2 = 6 cm.

Area of the semi circle = \frac{1}{2}\pi(6^{2})=18\pi

The radius of the quarter circle is 6 cm.

Area of the quarter circle = \frac{1}{4}\pi(6^{2}=9\pi

The area of the rectangle = 12 × 2 = 24

The area of the figure = 18π + 9π + 24 = 108.78 ≅ 109 cm. square

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If the scale of a flag from the image to the actual were 1 inch = 63.75 ft, what is the scale factor? What is an equation that c
Luden [163]

Answer:

  • Scale Factor from the image to the actual= 765
  • y=765x

Step-by-step explanation:

The scale of the flag from the image to the actual were 1 inch = 63.75 ft.

Now,  1 foot = 12 inches

63.75 feet = k inches

k= 63.75 X 12 =765 inches

Therefore: 1 Inch represents 765 Inches

Scale Factor from the image to the actual= 765

If y is the length of the actual and x is the length of the image, then:

y=765x

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4 years ago
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Buckle up, this one was a long one. 

I set up 1 / 3(12 + x) as a fraction and set it equal to - 8(6 - x). 

Get rid of the parentheses by distributing the integers on the outside. You get 1 / 36 + 3x = - 48 + 8x. 

To get rid of the fraction, you multiply both sides by the (36 + 3x) polynomial to get 1 = (- 48 + 8x)(36 + 3x). 

Now we do the FOIL method to get 1 = 24x^2 + 288x - 144x - 1728. Combine like terms to get 24x^2 + 144x - 1728 = 1. 

Simply again by dividing each term the GCF of 24 to get 24(x^2 + 6x - 72) = 1. 

Factor the inside of the parentheses to get 24(x + 12)(x - 6) = 1. Now divide both sides by 24 to isolate the x variables to get (x + 12)(x - 6) = 1/24.

Set each polynomial equal to 1/24 to get you possible answers for what x can be. 

x + 12 = 1/24. Subtract 12 from both sides; you get x = - 12 + 1/24 to get x = - 11 23/24. 

x - 6 = 1/24. Add 6 to both sides; you get x = 6 + 1/24 to get x = 6 1/24


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Answer:

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Step-by-step explanation:

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