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-BARSIC- [3]
3 years ago
8

Point P is chosen at random in a circle. If a square is inscribed in the circle, what is the probability that P lies outside the

circle
Mathematics
1 answer:
Novay_Z [31]3 years ago
6 0
Area of the circle: πR²

Area of the Square = 2R²

(the diagonals of the square are diameters in the circle

P(lies inside) =2R²/πR² = 1/π = 0.318
P(lies OUTSIDE) = 1-0.318 =0.681

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kupik [55]

3/4 divided by 1/2 is 1.5/4

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3 years ago
Matematicas
Minchanka [31]

Answer:

B

Step-by-step explanation: edge

3 0
2 years ago
The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is
alexgriva [62]
<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height

While the volume of half a sphere is:

V_{hs}=\frac{2}{3}\pi r^3

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

V_{s}=\frac{4}{3}\pi r^3

Then, the composite figure is:

V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)

The radius of the cylinder is the same of the radius of each half sphere. So:

r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}

7 0
2 years ago
Blue Valley College has 490 female students. This is 40% of the total student body. How many students attend Blue Valley College
almond37 [142]

Answer:

1225 is the total amount of students

3 0
2 years ago
A box contains paper clips of three different sizes. The numbers of each size of paper clip are listed below.
Bond [772]

Answer:

\frac{7}{10}

Step-by-step explanation:

Add all paper clip sizes together:

100 + 250 + 150 = 500

They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.

100 + 250 = 350

Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.

Can divide 350 and 500 by 50, which simplifies it down to 7/10.

\frac{350}{500} = \frac{7}{10}

8 0
2 years ago
Read 2 more answers
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