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

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

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.

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

Cual es
el promedio de 50, 45,40? ​

Answers

Answer:

45

Step-by-step explanation:

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:

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

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

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 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

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

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.

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

Answers

Step-by-step explanation:                                                                                                                   coxhck dewmsaksak sadjnsajmksa

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

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

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

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

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]

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

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:)

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.

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.

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

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

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

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

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

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

PLEASE HELP

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

Answers

7.
360 degrees- the other angles = x

2+4(x+1)-x
2+4x+-x
6+4x-x
6+3x​

Answers

Answer:

What is your question

Step-by-step explanation:

Other Questions
Is this statement true or false?Body fat patterns can be changed by strenuous exercise and have no genetic factors involved in them.truefalse no.of elements in KMnO4 Lee el prrafo y responde a la pregunta.Recuerdo cuando viajamos en crucero por el Caribe. Qu divertido fue el viajelPrimero viajamos hacia Mlami por avin, desde Pittsburgh, la cludad donde vivimos. Salimos desde Pittsburgh a lascinco de la maana para llegar a la Florida y tener suficiente tiempo para pasear y ver la ciudad de Miami. Finalmentesalimos en el crucero por el mar, desde Miami.Abordamos el crucero a las cinco, hora de cenar. Cenamos langosta, camarones, vegetales, helado y torta dechocolate. Pas unas horas al lado de la piscina y luego me dorm. El viaje dur slete das por el mar caribe que est enel Ocano Atlntico. Visitamos las islas de Puerto Rico, St. Thomas, St. Croix y Antigua. Comimos muchos mariscos,nadamos, hicimos ejercicio y fuimos de compras en cada Isla que visitamos. Fue un viaje magnifico. Descans y regresa mi casa completamente relajado.Cunto tiempo dur el crucero?sels diassiete dasO cinco dias A scientist is designing a device that will kill harmful cells in the human body using high-energy waves. Which type of wave would be most effectiveX-rays would be the best choice because they have a long wavelength and a low frequencyaccomplishing this goal?BRadio waves would be the best choice because they have a long wavelength and a low frequencyGamma rays would be the best choice because they have a short wavelength and a high frequencyDInfrared waves would be the best choice because they have a short wavelength and a high frequencyC2021 Illuminate Education Inc.TinType here to searchOBH Hey I'm Chloe Can you Help, Thanks :DList the names and accomplishments of two womens rights reformers from the 1800s What is Lincolns point of view regarding the future of the country?Which statement from the excerpt shows his point of view?Explain how the selected quote shows Lincolns point of view.What is an historical idea or event that supports Lincolns point of view?Analyze the excerpt from Douglass speech by answering the following questions in one paragraph:What is Douglass point of view regarding the Constitution?Which statement from the excerpt shows his point of view?Explain how the selected quote shows Douglass point of view.What is an historical idea or event that supports Douglass point of view? What caused scientists to believe the continents used to be A 2 kg brick is moving at a speed of 3 m/s. What is the kinetic energy of the brick? Which expression represents the concentration of OH in solution?a. 1014 / [H3O+]b. [OH] / 1014c. 1014 [H3O+]d. 1014 x [H3O+] Find the new amount.1. Increase 25 by 24%2. Increase 120 by 75%3. Decrease 35 by 60%4. Decrease 72 by 65% What does this image represent?A. Linear molecule with one domainB. Linear molecule with two domainsC. Tetrahedral molecule with four domainsD. Trigonal planar molecule with three domains How many real solutions will the graph of g(x) = 2x2 - 4x + 7 have?FO real solutionsG1 real solutionH2 real solutionsJmore than 2 real solutions Please help with yes or no Read the ad of the furniture store "La ideal" and decide whether each statement below isCierto - True or Falso - False."En nuestra tienda ests con amigos. Tenemos todo para la cocina o el comedor en laplanta baja. En el primer piso hay muebles para la sala; tenemos sofs, sillones,lmparas y mucho ms. En el segundo piso hay muchas cosas para el cuarto: camas,cmodas, escritorios y alfombras. En el tercer piso, hay muebles para el patio y el jardn,y en el cuarto piso puedes mirar los radios, los televisores y los videojuegos. Aqutenemos todo para escuchar tu msica favorita. Nosotros tenemos las cosas quenecesitas".1. La tienda tiene seis pisos.2. La tienda vende muebles para la casa.3. Las alfombras estn en el primer piso.4. En el cuarto piso encuentras los escritorios. What happened in Santa Fe on August 18, 1846? a. Stephen Kearney led soldiers into Santa Fe and claimed that were now American citizens. b. Stephen Kearney led soldiers into Santa Fe to secure New Mexico for Mexico. c. Stephen Kearney led soldiers into Santa Fe to suppress a revolt in Taos. d. Stephen Kearney told traders they were forced to rely on themselves for protection. Please select the best answer from the choices provided A B C D Guys help me on this which is the correct answer:(( Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.Online Content: Site 1Fitness LogBriefly describe what heat stroke does to the body and a situation where it's more likely to affect someone performing a physical activity. (Site 1)(BTW THIS IS THE FULL QUESTON) Match each definition to the appropriate term. a. The condition that a reaction takes place without outside help _________ b. Difference of the enthalpy (of a system) minus the product of the entropy and absolute temperature ________ c. Sum of the internal energy plus the product of the pressure and volume for a reaction _________d. The extent of randomness in a system __________ e. Solution in which no more solute can be dissolved in the solven ________1. Gibbs free energy 2. Spontaneity 3. Saturated solution 4. Entropy 5. Enthalpy A cylindrical tank has a height of 10 feet and a radius of 4 feet. Carla fills the tank with water at a rate of 8 cubic feet per minute. At this rate, how many minutes will it take Carla to completely fill the tank without it overflowing? Round your answer to the nearest minute. Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.Cost of item: $52Selling price: $71.97