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mezya [45]
2 years ago
7

What is the length of the major arc AE if the area of rectangle ABCD shown in the figure below is 18 sq. ft, and side AB, which

is tangent to the circle at A, measures 6 feet?
Mathematics
1 answer:
REY [17]2 years ago
5 0
Rectangle ABCD is one of the figures.
There is a circle where the line AD forms the radius.

Total area of rectangle = 18
Line AB = 6
So, line AD = 3 and line AE = 3
The interior angles of a rectangle are 90 degrees.


270 : 360 = x : (2*pi*r)
270/360 = x/(2*pi*3)
3/4 = x/(6 pi)
4x = 3* (6 pi)
<span>x = 9pi / 2

The length of the major arc AE is 9pi / 2</span>
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Line l has a slope of 2. The line through which of the following pair of points is perpendicular to l?
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D

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The length of the diagonal of a rectangle is √181 inches. ​ ​Which statement describes the length of the diagonal?
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4 0
2 years ago
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Answer:

The equal balances will be $114 after 8 weeks

Step-by-step explanation:

* Lets study the information in the problem

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- Ruben balance is y = -13x + 218

- After x weeks they will have same balances, means the values of y

 will be equal at the same values of x

- The solve the problem we will equate the two equations to find x

  and then substitute this x in on of the equation s to find the

  balance y

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∵ Manuel balance is y = 11.5x + 22

∵ Ruben balance is y = -13x + 218

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∴ The equal balances will be $114

* The equal balances will be $114 after 8 weeks

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