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pychu [463]
3 years ago
8

AREA ADDITION AND SUBTRACTION URGENT?

Mathematics
2 answers:
lora16 [44]3 years ago
8 0

Since you already have the radius (7.53), you must find the area of the circle and subtract the area of the square from that. So, you use the formula A = \pi r^2 where r is 7.53. From there, you get about 178.1311 square cm. Then, knowing the diagonal (7.53 * 2 or 14.06), you get the side length to be about 10.65. Squaring that, we get 113.4225. Subtracting, we get the answer to be about 64.7 square centimeters.

coldgirl [10]3 years ago
4 0

The area of a circle:

A_C=\pi r^2\\\\r=7.53\ cm\\\\A_C=\pi\cdot(7.53)^2=56.7009\pi\ cm^2\approx56.7009\cdot3.14\approx178.04\ cm^2

The area of a square (like an area of a rhombus):

A_S=\dfrac{d\cdot d}{2}=\dfrac{d^2}{2}\\\\d=2\cdot7.53=15.06\ cm\\\\A_S=\dfrac{(15.06)^2}{2}=\dfrac{226.8036}{2}=113.4018\ cm^2\approx113.40\ cm^2

The area of the yellow region:

A=A_O-A_S\\\\A=178.04-113.40=64.64\ cm^2\approx64.6\ cm^2

Answer: 64.4 cm²

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The ratio of the price of a tv to the price of a computer is 13:15 if the tv 400 dollars cheaper than the computer, how much doe
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The computer cost is $3000

Step-by-step explanation:

The given is:

  • The ratio of the price of a tv to the price of a computer is 13 : 15
  • The tv 400 dollars cheaper than the computer

We need to find the cost of the computer

Assume that the price of the computer is $x

∵ The ratio between the prices of the tv and the computer is 13 : 15

∵ The price of the computer is $x

∵ The price of the tv 400 dollars cheaper than the computer

- That means the price of the tv is less than the price of the

  computer by $400

∴ The price of the tv is $(x - 400)

By using the ratio method

→  tv              :    computer

→  13              :    15

→  (x - 400)   :    x

By using the cross multiplication

∴ 15(x - 400) = 13(x)

- Simplify the left hand side

∴ 15x - 6000 = 13x

- Add 6000 to both sides

∴ 15x = 13x + 6000

- Subtract 13x from both sides

∴ 2x = 6000

- Divide both sides by 2

∴ x = 3000

The computer cost is $3000

Learn more:

You can learn more about the ratio in brainly.com/question/4847829

#LearnwithBrainly

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