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kolbaska11 [484]
3 years ago
13

Problem: a circle is inscribed in a square. The squares perimeter is 16 times the square root of 6. What is the probability of s

electing a point that is outside the circle??
•please explain and show steps in detail on how to solve for the correct answer

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
8 0
I got 21% at selecting a point outside.
Explanation: Since the perimeter is 16sqrt (6), each side must be 4sqrt (6)
This also means that the diameter is 4sqrt (6).

To find the area of a circle, we need to find the radius (2sqrt (6)).
Area of circle is pi × (2sqrt (6))^2 = 24pi or approximately 75.4 units^2
Area of square is 4sqrt (6)^2 = 96

Thus, let's take the area of the circle and subtract that from the area of our square to yield approx. 20.6 units^2
and now divide through by 96 to yield 21%
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matrenka [14]

Answer:

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Step-by-step explanation:

<em><u>Given</u></em><em><u>,</u></em>

No. of families = 75

Out of 75 no. of families had cars = 42

Out of 1, no. of families can have cars

=  \frac{42}{75}

<em><u>Therefore</u></em><em><u>, </u></em>

Out of 200 families, no. of families had cars

= 200 \times  \frac{42}{75}

=200 \times   \frac{14}{25}

= 8 × 14

= 112

<em><u>Hence</u></em><em><u>, </u></em>

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5 0
2 years ago
Find the distance between Points C(4, 6) and D(−5, 6) without using a coordinate plane.
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Answer:

the answer is 9

Step-by-step explanation:

4 0
3 years ago
Mr. Brown owned a house, which he rented for $60 a month. The house was assessed at $9000. In 1975 the rate of taxation was incr
sergiy2304 [10]

Answer:

Raised by $2.25/month

Step-by-step explanation:

9000/1000=9

28-25=3

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7 0
3 years ago
Identifying Possible Triangles
Masja [62]

Answer:

3rd triangle can be constructed with dimensions 2,6,7.

Step-by-step explanation:

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difference of any two sides < third side

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8+5=13 not >14 (no triangle.)

2.

7+8=15 not >15 (no triangle)

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5 0
2 years ago
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daser333 [38]

The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

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Therefore, the height of the airplane above the tower is 1,819.85 feet.

8 0
3 years ago
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