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Kipish [7]
3 years ago
8

a rectangle is inscribed in a circle of radius r. if the rectangle has length 3x, write the area of the rectangle as the product

of two function in terms of x and r
Mathematics
1 answer:
svetlana [45]3 years ago
5 0
Based on the given condition, since the rectangle is inscribed in a circle given the length to be 3x, the width can be approximated by taking the right triangle formed by the radius and the w/2, sin 45 = w/2/r, which is equal to w = 2r sin45, therefore the Area of the inscribed rectangle = LxW = (3x)(2rsin45)
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Answer:

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Step-by-step explanation:

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3 years ago
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Which ordered pair makes both inequalities true? y < –x + 1 y > x On a coordinate plane, 2 straight lines are shown. The f
goldenfox [79]

Answer:

Option B.

Step-by-step explanation:

The given inequalities are

y

y>x

We need to find the ordered pair which makes both inequalities true.

Check the above inequalities for each given ordered pair.

For (-3,5),

(5) (False)

For (-2,2),

(2) (True)

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So, both inequalities are true for (-2,2). Option B is correct.

For (-1,-3),

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For (0,-1),

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Both inequalities are not true for (-3,5), (-1,-3) and (0,-1).

Therefore, the correct option is B.

3 0
2 years ago
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The Mp of coke is 20%more than its purchased price.if the coke was sold after 15%duscount,there will be gain of rs.40,find the M
Goshia [24]

Answer:

let cp be x

mp= x+ (20% 0f x)= 1.2x

sp = mp -d%of mp= 1.2- 15% *1.2 =1.02x

profit = 40

sp-cp =40

1.02x-x=40

x=2000

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Step-by-step explanation:

4 0
3 years ago
If A and B are independent events with P( A) = 0.60 and P( A| B) = 0.60, then P( B) is: a. 0.60 b. cannot be determined with the
Simora [160]

Answer:

<h2>B. cannot be determined</h2>

Step-by-step explanation:

For two events A and B to be independent, it means they can occur at the same time i.e the occurrence of one does not affect the other occurring. It is represented as P(A∩B) = P(A)P(B)

Given P( A) = 0.60 and P( A| B) = 0.60, to find P(B), we will use the formula for the conditional probability P( A| B) = P(A∩B) /P(B)

P( A| B) = P(A)P(B) /P(B)

P( A| B) = P(A)

Since  P( A| B) = 0.60, therefore P(A) is also equal to 0.60 and P(B) cannot be determined since they cancelled out already

7 0
3 years ago
Carlos takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $ 98 per cre
Sholpan [36]

Answer:

x + y = 13

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Step-by-step explanation:

Let x represent the time spent taking class in Westside community college

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For the combined total amount; we multiply the price for each school with the time spent on the school and sum them together.

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The combined total amount represented as z is given as:

z = 98x + 115y

7 0
3 years ago
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