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nekit [7.7K]
4 years ago
15

Jamie has an old CD that she wants to use for an art project. The circumstance of the CD is 22 cm and she would like to cut from

one side to the middle but leaving one cm l. What would be the measure of the cut portion
Mathematics
1 answer:
nirvana33 [79]4 years ago
8 0

Answer: 10 cm


Step-by-step explanation:

The circumference of the CD = 22\pi


We know that the formula of the circumference is:


Circumference = 2\pi r


We will substitute the value of circumference to find the radius:


22 pi = 2 x pi x r


r = 11


Therefore its radius will be 22 / 2 = 11 cm


Jamie wants to cut the CD from the middle of the CD to one side but leaving one cm. To find the measurement of the cut portion, we will subtract 1 from 11 to get:


11 - 1 = 10 cm

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Answer:

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Step-by-step explanation:

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3 years ago
PLEASE someone help its due tonight im almost done
marusya05 [52]
<h3>Answers:</h3>
  • 48 seconds
  • 3624 feet

========================================================

Explanation:

x = number of seconds that elapse

y = altitude (aka height) of the plane

The equation for plane A is

y = 20.25x+2652

because it starts off at 2652 ft in the air, and then adds on 20.25 feet per second which is what the 20.25x describes

The equation for plane B is

y = 75.5x

The y intercept is zero because plane B starts on the ground, aka height 0.

------------------

The system of equations is

\begin{cases}y = 20.25x+2652\\y = 75.5x\end{cases}

If we want to know when they'll reach the same height (y), then we can set the two right hand sides equal to each other and solve for x.

75.5x = 20.25x+2652

75.5x-20.25x = 2652

55.25x = 2652

x = (2652)/(55.25)

x = 48

The two planes reach the same altitude at exactly <u>48 seconds</u>

That altitude is <u>3624 feet</u> because

  • y = 20.25*x + 2652 = 20.25*48+2652 = 3624
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Notice I plugged x = 48 into each equation and I got the same y value of y = 3624. This helps confirm the answers.

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