A circle with a radius of 1 in. is inscribed in a right triangle with legs of 3 in. and 4 in. If a point is randomly chosen within the triangle, what is the probability that the point is NOT also in the circle?​

Answers

Answer 1

Answer:

P = (6-π)/6

Explanation:

Circle Area:

CA = 1²×π

CA ≈ π in²

Triangle Area:

TA = 3×4/2 = 6 in²

Probability:

P(point not in circle) = (6-π)/6 ≈ 0.48 ≈ 47.64%


Related Questions

2+4(x+1)-x
2+4x+-x
6+4x-x
6+3x​

Answers

Answer:

What is your question

Step-by-step explanation:

Cual es
el promedio de 50, 45,40? ​

Answers

Answer:

45

Step-by-step explanation:

An angle turns through 2/6 of a circle. What is the measure of the angle?

Answers

Step-by-step explanation:                                                                                                                   coxhck dewmsaksak sadjnsajmksa

Mai wants to buy a pair of jeans at the mall. The jeans cost $35.00. She has a coupon for that store. She pays $28.00 for the jeans. What was the percent of her discount?

Answers

9514 1404 393

Answer:

  20%

Step-by-step explanation:

The discount was $35 -28 = $7. As a percentage of the original price, that is ...

  $7/$35 × 100% = 20%

Mai's coupon was for a 20% discount.

PLEASE HELP ILL GIVE YOU

Answers

Answer: No she cannot cover it

Step-by-step explanation:

1yd² = 1296in²

16 x 11 x 9 = 1584in²

1296in² < 1584in²

A conglomerate of Christmas tree growers in Oregon wants to know if there is a difference in preference for live Christmas trees between urban and rural regions of the state. They randomly surveyed 160 rural households that put up a Christmas tree the previous season and found that 64 had used a live tree. In a separate random survey, 89 of 261 urban household had put up a live tree the previous season. The 95% confidence interval for the difference of the true proportion of all households (rural - urban) in Oregon that preferred a live tree is between -0.036 and 0.154. Based on the confidence interval, is there convincing evidence that the two population proportions are different

Answers

Answer:

0 is part of the confidence interval, which means that there is not convincing evidence that the two population proportions are different.

Step-by-step explanation:

Based on a confidence interval for the difference of proportions, there will be significant evidence that the proportions are different if 0 is not part of the confidence interval for the difference of proportions.

In this question:

Confidence interval between -0.036 and 0.154

0 is part of the confidence interval, which means that there is not convincing evidence that the two population proportions are different.

find the length of the third side of triangle if its midline measures 45cm​

Answers

Answer:

20 cm is the length of third side of triangle

Step-by-step explanation:

Length of 1st side = a

Length of 2nd side = 10cm = b

Length of 3rd side = 15cm = c

So,

Perimeter of triangle = 45 cm

a+b+c = 45cm

a + 10 + 15 = 45 cm

.'. a = 45-25 cm

= 20 cm

The midline or midsegment has a length equal to half of the third side.

Therefore, the length of the third side is 45 cm × 2 = 90 cm.

Response:

The length of the third side is 90 cm

Which theorem can be used to find the length of the third side?

Given:

The length of the midline = 45 cm

Required:

The length of the third side

Solution:

The midline is the line joining the midpoint of two sides of a triangle.

According to the midsegment theorem, the midline of a triangle is

parallel to the third side and has a length equal to half the length of the

third side.

Which gives;

The length of the mid line = [tex]\mathbf{\frac{1}{2}}[/tex] × The length of the third side

Let x represent the length of third side, we have;

45 = [tex]\frac{1}{2}[/tex] × x

Which gives;

The length of the third side, x = 2 × 45 cm = 90 cm

Learn more about the midsegment theorem here:

https://brainly.com/question/24600215

the area of one face of a cube is 36 square feet. what is the volume of a cube that has edges twice as long?

a. 144 feet cubed
b. 216 ft cubed
c. 1,728 ft cubed
d. 5832 ft cubed

Answers

144 feet cubed ok yes sir

Find the perimeter of the rectangle whose vertices are the points with coordinates (-2,5), (6,5), (-2,8), and (6,8).

Answers

Answer:

22 is the perimeter

Step-by-step explanation:

hope it helps

The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 5 ft long with a diameter of 2.4 ft. Suppose gas is poured into the tank at a rate of 2.3ft^3 per minute. How many minutes does it take to fill the empty tank? Use the value 3.14 for pie and round your answer to the nearest minute. Do not round any intermediate computations.

Answers

Answer:

Step-by-step explanation:

h = 5 ft

diameter = 2.4 ft

Radius is half of diameter

r = 2.4/2 = 1.2 ft

Now, find the volume of the tank

Volume = πr²h

             = 3.14 * 1.2 *1.2 * 5

             = 22.608 cubic ft

Time taken to fill the tank = Volume of tank ÷ volume of gas filled per minute

= 22.608 ÷ 2.3

= 9.8

= 10 minutes

how can I subtract 4/3 - 1/3 ​

Answers

Answer:

1

Step-by-step explanation:

Since they have the same denominator, it would be:

[tex]\frac{4}{3}-\frac{1}{3}=\frac{4-1}{3} =\frac{3}{3}=1[/tex]

Hopes this helps:

Answer: 1

1. Join the denominators.
4 - 1 divide by 3


2. Simplify.
1

The area of a triangle is 36 square inches. What is the height of the triangle if the base length is 8 inches? (3 points) a 8 inches b 9 inches c 12 inches d 6 inches

Answers

9514 1404 393

Answer:

  b.  9 inches

Step-by-step explanation:

The area of a triangle is given by ...

  A = 1/2bh

Solving for h, we get ...

  h = 2A/b

  h = 2(36 in²)/(8 in) = 72/8 in

  h = 9 in

The height of the triangle is 9 inches.

A city has the population of 210,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 13 years?

Answers

Answer:drip

Step-by-step explanation:

1 2 4

Chad wants to know which professional baseball player is most popular among the 300 students at his school. Which is the most representative and reasonable sample for him to survey?

Answers

Answer:

It could be to: collect data from a sample of every twentieth student who arrives at school one day

A square has an area of 16x^2 square inches. If the sides of the square were to increase by 2 units, what is the new area of the square?

Answers

Answer:

16x² + 64x + 64

Step-by-step explanation:

Given

A = 16x²

Increasing the sides by 2, substitute x = x + 2 into A

A = 16(x + 2)² ← expand factor using FOIL

   = 16(x² + 4x + 4 ) ← distribute

   = 16x² + 64x + 64

Mr. Markle has a jar on his desk that contains 10 marbles shown.
What is the likelihood that a red marble will be chosen?

Answers

Answer:

10% or 1/10 Or very Low ..

10 percent chance should be the right answer

WILL MARK BRAINLIEST
Solve for x

65
10
55
8

Answers

Answer:

x = 10

Step-by-step explanation:

Measure of the angle with it's vertex inside a circle = ½(sum of intercepted arcs)

Thus,

m<E = ½(HL + GF)

Substitute

60 = ½(55 + 5x + 15)

Multiply both sides by 2

2(60) = 55 + 5x + 15

120 = 5x + 70

120 - 70 = 5x

50 = 5x

50/5 = x

10 = x

x = 10

Janessa is playing a board game with two friends. Using a single die, one friend rolled a four,
and the other friend rolled a three, Janessa needs to roll a number higher than both friends in
order to win the game, and she wants to calculate her probability of winning.
Is the probability of Janessa winning an independent event or dependent event? Why?
O Her probability of winning a dependent event because it does not depend on the results of her
friends' rolls.
Her probability of winning is a dependent event because it depends on the results of her friends' rolls.
O Her probability of winning is an independent event because it does not depend on the results of her
friends' rolls.
O Her probability of winning is an independent event because it depends on the results of her friends'
rolls.

Answers

Answer:

it may benright

Step-by-step explanation:

the first one

Answer:

The probability of Janessa winning is an independent event because it is independent of the results of her friends’ rolls.

Step-by-step explanation:

I took the quiz

find the area of the shaded region

Answers

Answer:

379.56ft²

Step-by-step explanation:

Oh lordy why, okay we got this:

So we're going to start with the area of the square, this is easy because all of the sides are 25ft, so we just have to plug into our formula for squares (base x height):

25 x 25 = 625

Now we have to do the semicircle, remember that the formula for the area of a circle is pi x radius², we're using 3.14 for pi, so we have to find the radius (half the diameter):

25 ÷ 2 = 12.5

12.5² = 156.25

3.14 x 156.25 = 490.625‬

Normally we would stop here, but because this is only a semicircle, we have to divide by two:

490.625‬ ÷ 2 = 245.3125‬

So, now that we have our two areas, we have to subtract the semicircle from the square:

625 - 245.3125‬ = 379.6875‬

Now, I realize that his answer isn't in your cute little word bank, but that because I rounded pi, so the closest is 379.56

So, the area of the figure is 379.56ft²

if this is wrong let me know so I can fix it

hope this helps:)

A tabletop in the shape of a trapezoid has an area of 7,701 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 85 centimeters. What is the height?

Second attempt, please just give me the answer :p

Answers

Answer:

75.5 cm

Step-by-step explanation:

S = (a+b)*h/2

h = 2 * S / (a+b) = 2 * 7701 / 204 = 75.5 cm

the table shows a sprinter's times in seconds for the 100 meter dash at the first meets of a season what sprinters time for the 100 meter dash at these meets

Answers

Answer:

10.116

Step-by-step explanation:

Add up all the times and then divide it by the number terms

PLEASE HELP

How do I solve 7,9, and 10 also what are the answers?

Answers

7.
360 degrees- the other angles = x

Solve the equation for the value of x

-6=x/-4

Please show your work, thank you.

Answers

Answer: x=24

x=-6*-4=24

which graph represents the function f(x)=4|x|?

Answers

Answer:

I think this is what the graph looks like.

Step-by-step explanation:

I hope this helps.sorry if it's wrong.

Answer:

it will go through the points (-1, 4), (0,0), and (1, 4)

Step-by-step explanation:

Which point is at 1 on the number line?

Choose 1 answer:

(Choice A)

A

(Choice B)

B

(Choice C)

C

(Choice D)

D

Answers

Need a picture to answer the question

I’m not sure and please explain how you got the answer pleaseee

Answers

Answer:

A

Step-by-step explanation:

Because 30+18=48, and 3(10+6)=48

10+6=16

3•16=48

A box of 15 cookies cost nine dollars what is the cost for one cookie

Answers

Answer:

the cost for one cookie is $0.6(60 cents)

Step-by-step explanation:

9 divided by 15 = 0.6

Answer:

60 cents

Step-by-step explanation:

Cost of 15 cookies = $9

Cost of 1 cookie = 9/15

9/15=0.6

Please help, will mark Brainly and if you need help with anything I’ll help with any work you send

Answers

Answer:

first

[tex]9(x + 7) \\ second \: \: 7x(x + 5)[/tex]

65 is what percent of 120?
(round to the nearest percent)

Answers

Answer:Lets say 60 is rounded to 60. So 60 is half of 120 , which means that the answer is a little bit more than 50% since 50x2=100%

So 50 plus the 5 we took away from the 60 in the beginning is 55%

I think your answer is 55%

Step-by-step explanation:

Your answer is 55%

The percentage of 65 out of 120 will be 54.167%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The whole numbers are 65 and 120.

Then the percentage is written as,

P = (65 / 120) x 100

P = 0.54167 x 100

P = 54.167%

The percentage of 65 out of 120 will be 54.167%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

you walk into a store that is closing. the pants normally cost $60.00 but it is discounted 75% they are also taking additional 20% of what is the final price that you pay for the pants?

Answers

Answer:

The final cost of the pants is $ 12.

Step-by-step explanation:

Given that at a store that is closing the pants normally cost $ 60.00 but it is discounted 75%, and they are also taking an additional 20% off, to determine what is the final price for the pants, the following calculation must be performed:

100 - 20 = 80

(60 - (60 x 0.75)) x 0.80 = X

(60 - 45) x 0.80 = X

15 x 0.80 = X

12 = X

Thus, the final cost of the pants is $ 12.

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