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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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Subtract, 8 3/8 - 10 1/6
IRISSAK [1]
8\frac{3}{8}   =   \frac{67}{6} \\  10\frac{1}{6}  =  \frac{61}{6}

8\frac{3}{8} -  10\frac{1}{6}

convert them to: \frac{67}{8}  -  \frac{61}{6}

\frac{67}{8}  -  \frac{61}{6} =  \frac{-43}{24}

Your answer: -1\frac{19}{24}

Good luck on your assignment  & enjoy your day 





                  ~MeIsKaitlyn :)
5 0
3 years ago
A car travels 80 miles on 5 gallons of gas. How many gallons of gas
dalvyx [7]

Answer:

7 gallons

Step-by-step explanation:

Step 1:

80 : 5 = 112 : x

Step 2:

80x = 560

Answer:

x = 7

Hope This Helps :)

5 0
3 years ago
Find the mass of the triangle with vertices (1; 0; 0), (0; 2; 0), (0; 1; 1) if the density function is given by (x; y; z)
Luda [366]

Answer:

=\frac{17}{3}

Step-by-step explanation:

Density of a function is \rho(x,y)=x^{2} +y^{2}

I have drawn the right angle triangle for visualization

equation for the line passing through (1,0) and (0,4) is

\frac{y}{4} =\frac{x-1}{-1}

y=4-4x

=$$\int_{0}^1\int_{0}^{4-4x} (x^{2}+y^{2})dydx$$

=$\int_{0}^{1}(x^{2}+\frac{y^{3} }{3})dx$  

=$\int_{0}^{1}(x^{2}(4-4x)+\frac{1}{3}(4-4x)^{3} )dx$

=$\int_{0}^{1}(\frac{-76}{3}x^{3} +68x^{2}-64x^{}+\frac{64}{3}  )dx$

==(\frac{-76}{3} \frac{x^{4} }{4})+\frac{68}{3}x^{3}-32x^{2}+\frac{64}{3}x^{})  

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3 0
3 years ago
WILL GIVE BRAINLIEST PLEASE HELP
kakasveta [241]

Answer:

Step-by-step explanation:

y intercept is <u>8.53 hrs</u>

-0.73(4) + 8.53 = <u>5.61 hrs</u>

slope is -<u>0.73 hr</u>

7 0
3 years ago
Use pi=3 calculate the length of a cicumference of a circle with a radius of 5cm
8_murik_8 [283]
Circumference=2pir
r=5
pi=3
circumference=(2)(3)(5)
circumfernce=6(5)
circufmerence=30

answer is 30cm
5 0
3 years ago
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