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Roman55 [17]
3 years ago
12

Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle.

Mathematics
1 answer:
hjlf3 years ago
6 0

Answer:

x = 9.8

Step-by-step explanation:

(please refer to attached)

after labeling the picture with all the known information, we can see that

OF = OR = Radius of the circle     -----(eq 1)

Consider triangle OFP,  by Pythagorean theorem,

OF² = PF²+OP²

r² = 11.5² + 11²

r² = 253.25  -----(eq 2)

Consider triangle ORQ,  by Pythagorean theorem,

OR² = RQ²+OQ²

r² = 12.5² + x²

r² = 156.25 + x²  ----(eq 3)

equating (eq 2) and (eq 3)

253.25 = 156.25 + x²    

x² = 253.25 - 156.25

x² = 97

x = √97

x = 9.8  (nearest tenth)

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40% of the students passed both exams. 80% of the students passed the second exam. how many students (in percent) who passed the
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Let's imagine that there are 100 kids in the teacher's class. We know that 40 of them passed BOTH tests, and 80 passed the second test.

Because if they weren't, they wouldn't have passed the first test and consequently wouldn't have passed both, we can be sure that the group of students who passed BOTH tests is only made up of the 80 who passed the second test.

Thus, both tests were passed by 40 of the 80 pupils who passed the second one:                                      

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1 year ago
Y = 2x + 3<br><br><br> y = 1/2 x – 3<br><br><br> y = –2x – 3<br><br><br> y = 1/2 x + 3
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3 years ago
Find the volume of the cylinder if the height is 3 mm and the diameter is 40 mm. Leave the answer in terms of it.
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The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Step-by-step explanation:

Height of cylinder = 3mm

Diameter of cylinder = 40mm

Volume of cylinder = ?

The formula used to find Volume of cylinder is:

Volume = \pi r^2h

Putting values in the formula:

Since we need radius,

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radius = 40/2

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So,

Volume = \pi r^2h\\Volume = 3.14*(20)^2*3\\Volume = 3.14*400*3\\Volume= 3769.91 or \,\,\,Volume\approx 3770\,\,cubic\,\,millimeters

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

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The perimeter and area of each figure:<br> a. A square with a side length of 3.5 inches.
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