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katrin2010 [14]
3 years ago
14

If a point is chosen inside the square, what is the probability that it will also be inside the circle?

Mathematics
1 answer:
Feliz [49]3 years ago
3 0

Answer:

79\%

Step-by-step explanation:

The probability that the point is chosen in the circle is equal to the area of the circle divided by the area of the square.

Formulas used:

  • Area of a square with side length s is given by A=s^2
  • Area of a circle with radius r is given by A=r^2\pi

The segment marked as 1 represents not only the radius of the circle, but also half the side length of the square. Therefore, the side length of the square is 2, and we have:

Area of square: A=2^2=4

Area of circle:

A=1^2\pi=\pi

Therefore, the probability that the point will be inside the circle is:

\frac{\pi}{4}=0.78539816339\approx \boxed{79\%}

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a metal worker has a metal alloy that is 20% copper, and another metal alloy that is 60% copper. How many kilograms (kg) of each
emmainna [20.7K]

Let X = the 29% alloy and Y = the 60% alloy.

They want a total of 80kg, so you have X +Y = 80

Rewrite that to get X = 80-Y


You also want 0.20X + 0.60Y = 0.52(80)

Replace X with 80-y:

0.20(80-y) + 0.60y = 0.52(80)

Simplify:

16 - 0.20y + 0.60y = 41.6

Combine like terms:

16 +0.40y = 41.6

Subtract 16 from each side:

0.40y = 25.6

Divide both sides by 0.40

y = 25.6 / 0.40

y = 64


Now you have Y replace y with 80 in X = 80-Y

X = 80 - 64

X = 16

They need 64 Kg of the 60% alloy and 16 Kg of the 20% alloy.


5 0
2 years ago
Solve for x: 3-(2x-5)<-4(x+2)
trapecia [35]
3-(2x-5)=-4(x+2)

We simplify the equation to the form, which is simple to understand
3-(2x-5)=-4(x+2)

Remove unnecessary parentheses
3-2x+5=-4*(x+2)

Reorder the terms in parentheses
3-2x+5=+(-4x-8)

Remove unnecessary parentheses
+3-2x+5=-4x-8

We move all terms containing x to the left and all other terms to the right.
-2x+4x=-8-3-5

We simplify left and right side of the equation.
+2x=-16

We divide both sides of the equation by 2 to get x.
x=-8
6 0
3 years ago
Read 2 more answers
n a survey about favorite fruits, 28 people chose apples, 17 chose oranges, and the rest chose pears. If 60 people were surveyed
nordsb [41]

Based on the number of people who chose the other fruits, the percentage of people who chose pears was <u>25%. </u>

<h3>Number of people who chose pears </h3>

= Number of participants - Number who chose apples - Number who chose oranges

= 60 - 28 - 17

= 15 people

<h3>Percentage who chose pears </h3>

= Number of people who chose pears / Total number of people x 100%

= 15 / 60 x 100%

= 25%

In conclusion, 25% chose pears.

Find out more on percentages at brainly.com/question/13516343.

7 0
2 years ago
In a class of 40 students, 8 are in the drama club and 12 are in the art club. If a student is selected at random, what is the p
babymother [125]

Answer:

total students = 40probability of selecting a student from art club= 12/40= 3/10

Step-by-step explanation: because am big math

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2 years ago
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a film canister in the shape of a cylinder has a height of 8 centimeters and a volume of the film canister. write an equation fo
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Answer:

Part a) The equation for the volume of the film canister is

32\pi=\pi r^{2}(8)

Part b) The radius of the film canister is 2\ cm

Step-by-step explanation:

<u><em>The complete question is</em></u>

A film canister in the shape of a cylinder has a height of  8 centimeters and a volume of 32π cubic centimeters.

a. Write an equation for the volume of the film canister.

b. What is the radius of the film canister?

Part a) Write an equation for the volume of the film canister

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

where

r is the radius of the circular base

h is the height of the cylinder

we have

V=32\pi\ cm^3

h=8\ cm

substitute

32\pi=\pi r^{2}(8) ----> equation for the volume of the film canister

Part b) What is the radius of the film canister?

we have

32\pi=\pi r^{2}(8)

32\pi=8\pi r^{2}

Simplify

Divide by 8π both sides

4=r^{2}

square root both sides

r=2\ cm

8 0
3 years ago
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