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12345 [234]
2 years ago
15

If the radius of circle O is 10 inches and m∠UON=90∘, what is the area of sector URN⌢?

Mathematics
1 answer:
arsen [322]2 years ago
6 0

Answer:

  75π in²

Step-by-step explanation:

The shaded sector is 3/4 of the circle. We can use the area formula for a circle to find the area of the whole circle, then multiply that result by 3/4.

  A = πr² = π(10 in)² = 100π in²

Then the area of 3/4 of the circle is ...

  3/4·A = (3/4)·100π in² = 75π in²

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Komok [63]
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2 years ago
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On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).
FromTheMoon [43]

Answer:

The line passes through the y-axis at point (0,4).

Step-by-step explanation:

On a coordinate plane, line DF goes through points (-1,-3) and (2,3).

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So, - 4 = 2(- 4) + c

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So, the straight line which is parallel to DF and passes through the point (-4,-4) is y = 2x + 4.

Now, putting x = 0, we get, y = 4.

Therefore, the line passes through the y-axis at point (0,4). (Answer)

4 0
2 years ago
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#12 wire is 80.81 mils. What is the diameter in inches? Round your answer to five decimal places.
Anna007 [38]

Answer:

diameter of #12 wire = (80.80 \times 0.001) = 0.08080 inches

Step-by-step explanation:

i) #12 wire is 80.80 mils

ii) Therefore diameter of #12 wire  = 80.80 mils.

iii) 1 mil = 0.001 inch

iv) therefore diameter of #12 wire = (80.80 \times 0.001) = 0.08080 inches

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2 years ago
Caleb bought groceries and paid $1.60 in sales tax.the sales tax rate is 2.5% What was the price of Caleb’s groceries,before tax
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Let price of the Caleb's groceries was $x.

Given that tax rate is 2.5% or 0.025

Then sales tax is given by product of 0.025 and x.

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Given that tax paid is $1.60 so both must be equal

0.025x=1.6

divide both side by 0.025

x=1.6/0.025

x=64

Hence final answer is $64.

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2 years ago
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2 years ago
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