Find the area of the shaded sector. Leave your answer in terms of pie

Find The Area Of The Shaded Sector. Leave Your Answer In Terms Of Pie

Answers

Answer 1

ANSWER

The area of the shaded sector is

[tex]Area =\pi \: {in}^{2} [/tex]

EXPLANATION

The area of a sector is calculated using the formula,

[tex]Area = \frac{central \: angle}{360 \degree} \: \times \pi \: {r}^{2} [/tex]

Fro the diagram, the central angle is 90°

The radius of the circle is 2 in.

[tex]Area = \frac{90 \degree}{360 \degree} \: \times \pi \: {2}^{2} {in}^{2} [/tex]

[tex]Area = \frac{1}{4} \: \times \pi \: 4 {in}^{2} [/tex]

This finally simplifies to

[tex]Area =\pi \: {in}^{2} [/tex]

Answer 2

Answer:

Area of shaded region = 3.14  in²

Step-by-step explanation:

Formula:-

Area of circle = πr²

Where 'r' is the radius of circle

It is given a circle with radius 2 in.

To find the area of circle

Here r = 2 in

Area = πr²  = 3.14 * 2² = 12.56 in²

To find the area of shaded region

Here central angle of sector = 90°

area of sector= (90/360) * area of circle

 = (1/4)12.56 = 3.14  in²


Related Questions

Chef Katrina uses 1 cup of pecans for every 3 cups of peanuts in her Merry Munch Mix. One cup of pecans costs $ 4.99 and one cup of peanuts costs $2.25. If the cost for nuts in a batch of Merry Munch Mix is $35.22, how many cups of each type of nut were used?

Answers

Final answer:

Chef Katrina used 3 cups of pecans and 9 cups of peanuts for her Merry Munch Mix, totaling $35.22 based on the given prices of $4.99 per cup of pecans and $2.25 per cup of peanuts.

Explanation:

Calculating the Quantities of Pecans and Peanuts in the Merry Munch Mix

Chef Katrina uses a ratio of 1 cup of pecans to 3 cups of peanuts in her mix. We are given the cost per cup of pecans as $4.99 and the cost per cup of peanuts as $2.25. The total cost of nuts in the mix is $35.22.

To solve this, let's denote the number of cups of pecans used as p and the number of cups of peanuts as 3p (since there are three times as many peanuts as pecans). The total cost for pecans would be p times $4.99 and for peanuts 3p times $2.25.

Our equation based on the total cost is:
4.99p + 2.25(3p) = 35.22
4.99p + 6.75p = 35.22
11.74p = 35.22

Dividing both sides by 11.74 to solve for p:
p = 35.22 / 11.74
p = 3 cups of pecans

As there are three times more peanuts than pecans:
3p = 3 * 3 = 9 cups of peanuts

Therefore, Chef Katrina used 3 cups of pecans and 9 cups of peanuts in her Merry Munch Mix.

A multiple choice test has five questions each with 5 possible answers. Find the probability of guessing the correct answers to all of the questions

Answers

Answer:

5/25 or 1/5

Step-by-step explanation:

5 questions, each has 5 possible answers, 5x5=25 each question had 1 correct answer so 5 right answers in the whole test. 5/25 but if u need to simplify, 1/5

Answer: Probability of guessing all 5 correctly: 1/3125 = 0.032%

Step-by-step explanation:

Probability of guessing the first question correctly:  1/5

For that 1/5 of the time when the first question has been guessed correctly, the second question could be guessed correctly 1/5 of the time. So the first two questions could be guessed correctly 1/5 × 1/5 = (1/5)^2 of the time.

Similarly the first three questions could be guessed correctly (1/5)^3 of the time.

and the first four, 1/5)^4 of the time;

and all fives,

(1/5)^5 of the time.

(1/5)^5 = 1/3125 = 0.00032 = 0.032%

* Hopefully this helps:) Mark me the brainliest:)!!!

use the distributive property and mental math to find the product

Answers

Answer:

0

Step-by-step explanation:

0(No+Problem)

0+0=0

Answer:

Tell us

Step-by-step explanation:

yeah what the proudcut

I NEED HELP ASAP!!!
The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube.

Match the equation for how to solve for the side length of a cube to its description.
THANK YOU!!

Answers

Answer:

∛756 In. is the correct answer

Step-by-step explanation:

Here, Volume (V) = 756 in³

V = s³

Now,

756 = s³

s³ = 756

s = ∛756 In.

Thus, ∛756 In. is the correct answer

-TheUnknownScientist

Use the net as an aid to compute the surface area of the triangular prism. A) 550m^2 B) 614m^2 C) 670m^2 D) 790m^2

Answers

Answer:

The correct answer is option D.  790 m²

Step-by-step explanation:

Formula:-

Area of triangle = bh/2

Area of rectangle = bh

where b - Base and h - Height

To find the area of prism

Area of prism = Base area  + side rectangle area + side triangle area

 = (16 * 11)  + (2 * 11 * 17) + (2 * 16 * 15 /2)

 = 176 + 374 + 240

 = 790 m²

Therefore the correct answer is option D.  790 m²

The surface area of the triangular prism is 790m². ( option D)

A triangular prism is a type of prism with triangular base. The surface area of a prism is expressed as ;

SA = 2B + ph

where , B is the base area and p is the perimeter of the base.

Base area = 1/2bh

where b is the base and h is the height

= 1/2 × 16 × 15

= 8 × 15

= 120m²

Perimeter = 17 + 16 + 17 = 50m²

Surface area = 2 × 120 + 50 × 11

= 240 + 550

= 790 m²

Therefore, the surface area of the prism is 790m²

umm what please help ? ? ? ? ?

Answers

Answer:

2nd answer choice from the top

Step-by-step explanation:

B is the answer for this question

Help me please on the equation​

Answers

1. 10x+5=35

2. 5x+10=35

3. 35x+5=10

I will mark brainliest, Please answer d). How do I do this question and what is the answer.

So far I have done:
3d - 11/4 +11/4 = 3/2 + 11/4
3d = 3/2 + 11/4

How do I find a common denominator? Can someone explain how I would find a common denominator in this question.

Answers

The lowest common denominator of the two fractions is 4 because it is the smallest number that both fractions can be transformed into. 3/2 is multiplied by 2 to create 6/4 which can be added to 11/4.

we could add the left-side and then cross-multiply and so on, OR we can simply get the LCD of all denominators, in this case 4,2 so our LCD will just be 4, and multiply both sides by 4, that way doing away with the denominators, so let's do so

[tex]\bf 3d-\cfrac{11}{4}=\cfrac{3}{2}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4\left( 3d-\cfrac{11}{4} \right)=4\left( \cfrac{3}{2} \right)}\implies 12d-11=6 \\\\\\ 12d=17\implies d=\cfrac{17}{12}\implies d=1\frac{5}{12}[/tex]

On a certain day, the temperature changed at a rate of -2 degrees Fahrenheit per hour. How long did it take for the change in temperature to be -14 degrees Fahrenheit

Answers

Answer:

7 hours.

Step-by-step explanation:

Pretty easy. 14 divided by 2. To check the answer, 2 x 7 = 14.

Final answer:

When the temperature change rate is -2 degrees Fahrenheit per hour, it takes 7 hours for the temperature to drop by -14 degrees Fahrenheit.

Explanation:

The question asks us to determine the time it took for the temperature to drop by -14 degrees Fahrenheit when the rate of temperature change was -2 degrees Fahrenheit per hour. This can be solved using a simple equation of rate × time = change in quantity. As the rate is -2 degrees Fahrenheit per hour and the total temperature drop is -14 degrees Fahrenheit, the equation becomes -2 × time = -14. To solve for time, divide the total temperature change by the rate of change. Substituting the values into the equation gives: time = -14 / -2. Thus, the time it took for the temperature to drop by -14 degrees Fahrenheit was 7 hours.

Learn more about Time Calculation for Temperature Change here:

https://brainly.com/question/34039707

#SPJ2

what is the area of the figure:

Answers

For this case we have that the area of the triangle is given by:

[tex]A = \frac {b * h} {2}[/tex]

Where:

b: It's the base

h: It's the height

We have to:

[tex]cos (45) = \frac {b} {24}\\b = 24 * cos (45)\\b = \frac {\sqrt {2}} {2} * 24\\b = 12 \sqrt {2}[/tex]

The atura will be given by:

[tex]sin (45) = \frac {h} {24}\\h = 24 * sin (45)\\h = \frac {\sqrt {2}} {2} * 24\\h = 12 \sqrt {2}[/tex]

So, the area is:

[tex]A = \frac {12 \sqrt {2} * 12 \sqrt {2}} {2}\\A=\frac{(12\sqrt{2})^2}{2}\\A = 144[/tex]

Answer:

144

Answer:

Area=144

Step-by-step explanation:

In right triangle ABC,

[tex]\sin\left(45^o\right)=\frac{BC}{AB}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{BC}{24}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{Height}{24}[/tex]

[tex]\frac{24}{\sqrt{2}}=Height[/tex]

[tex]Height=\frac{24}{\sqrt{2}}[/tex]

similarly

[tex]\cos\left(45^o\right)=\frac{AC}{AB}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{AC}{24}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{Base}{24}[/tex]

[tex]\frac{24}{\sqrt{2}}=Base[/tex]

[tex]Base=\frac{24}{\sqrt{2}}[/tex]

Then area of right triangle [tex]=\frac{1}{2}\left(Base\right)\left(Height\right)[/tex]

[tex]=\frac{1}{2}\left(\frac{24}{\sqrt{2}}\right)\left(\frac{24}{\sqrt{2}}\right)[/tex]

[tex]=\frac{576}{4}=144[/tex]

Hence Area=144

Help!!!!!
A and B are independent events . P(A) = 0.80 and P(B) = .10 what is P(A and B) ?

Answers

Answer:

The probability of A and B is:

                 [tex]P(A\ and\ B)=0.08[/tex]

Step-by-step explanation:

We know that when two events: Event A and event B are independent then if P denote the probability of an event then Probability A and B is equal to the product of probability of the individual events.

i.e.

[tex]P(A\ and\ B)=P(A)\times P(B)[/tex]

Here we have:

P(A) = 0.80 and P(B) = 0.10

Hence,

[tex]P(A\ and\ B)=0.80\times 0.10\\\\P(A\ and\ B)=0.08[/tex]

Answer: 0.08

Step-by-step explanation:

find the area of the composite figure... please help

Answers

Answer:

27.5 square yards

Step-by-step explanation:

So, we have two shapes connected together and we want to know the combined area of the two.  All we have to do is find out the area of each one, then add the results.

First, the rectangle:

The area of a rectangle is the base multiplied by the height, so

A = 6 x 4 = 24 square yards

Then, the half-circle.

We know the area of a circle is calculated with A = π * r², so the area of a half circle will be A = (π * r²)/2.

We know the circle has a diameter of 3 yards because the wall next to it is also 3 yards and the whole structure is 6 yards wide, so...

A = (π (1.5)²)/2 = 2.25 π / 2 = 3.53 square yards

Overall, we have

Area of the rectangle: 24 square yards

Area of the half-circle: 3.53 square yards

Total: 27.53 square yards, rounded to the tenth: 27.5 square yards.

Answer:

27.5 yards^2

Step-by-step explanation:

We are given a figure which comprises of two shapes: a rectangle and a semicircle and we are to find the area of this composite figure.

We know that the area of these two shapes is given by the following formulas so we will put in the given values to get:

Area of rectangle = [tex]length \times width[/tex] = [tex]6 \times 4[/tex] = 24 yd^2

Area of semi-circle = [tex]\frac{\pi r^2}{2}[/tex] = [tex]\frac{3.14 \times 1.5^2}{2}[/tex] = 3.53 yd^2

Area of composite figure = [tex]24+3.53[/tex] = 27.5 yards^2

Help me with this question

Answers

Answer:

Go to desmos.com/calculator and there will be a graphing calculator

Step-by-step explanation:

Vote and say thanks!

The first number in each set is for the x axis and the second on the y

The regular price of a television set is $1,200. Albert buys the television set at a discount of 35% . How much does he pay for the television set?​

Answers

He pays $780 for the television set.

1200*.35=420

1200-420=780

Albert pays $780 for the television set after receiving a 35% discount on the original price of $1,200.

The regular price of a television set is $1,200. To calculate the price Albert would pay after receiving a 35% discount, you need to calculate the discount amount and subtract it from the original price. The discount can be calculated by multiplying the original price by the discount percentage.

Discount = Original Price × Discount Percentage = $1,200 ×0.35 = $420

Now subtract the discount from the original price:

Final Price = Original Price - Discount = $1,200 - $420 = $780

Therefore, Albert pays $780 for the television set.

Really need help please

Answers

Answer:

A

Step-by-step explanation:

1) Count the numbers larger than 5

(6,7,8,9,10)

2) Put it over a fraction

5/10

3)Simplify

1/2

Whats the answer i need help assap

Answers

105 Degree

Because the angle x

Is the same angle of 105 in X to Y

Answer:

C

Step-by-step explanation:

Since DE and XY are parallel lines then

x and 105 are corresponding angles and congruent, hence

x = 105 → C

1. what is the range of the following set of data? 9 3 1 8 3 6

2. what is the range of the following set of data? 125 61 98 101 72 119

3. match each item with the correct value for the following set of data? 2 4 4 6 6 8 10 11 12 14 17
this is matching

Quartile 3 (Q3) 1. 4
Interquartile Rage (IQR) 2. 8
Quartile 1 (Q1) 3. 12

4. What is the Interquartile rage of the following set of data?
20, 1, 28, 57, 34, 11, 50, 37, 15, 19, 24, 47​

Answers

For 1 and 2 the formula to find range is: the total of all the numbers divided by how many numbers there are added together (in the case of #1 it would be 6 #s being added)

if the mean of a normal distribution is 22, what is the median of the distribution?

Answers

Answer:

22

Step-by-step explanation:

Normal Distributions are the most important in statistics. They are also know as "bell curves".

There are special properties of Normal Distributions. I name 3 of them below:

1. Normal distributions are symmetric about their mean.

2. The area under the normal curve is 1

3. The mean, mode, and median of normal distribution are equal

This question can easily be solved using property #3 in the stated above properties.

The mean and median of normal distribution are equal. Since mean is given as 22, the median will also be 22.

This has to do with mean,median,mode, and all that stuff, but my teacher is like,not really good at explaining stuff lol

Answers

The average of 6 quiz scores, where [tex]x[/tex] is the score of the last quiz, is

[tex]\dfrac{83+81+89+92+80+x}6=\dfrac{425+x}6[/tex]

The student needs a minimum average of 86 to earn an A:

[tex]\dfrac{425+x}6=86\implies425+x=516\implies x=91[/tex]

so the student needs a score of 91.

which is greater -21 or -12​

Answers

Answer: -12

Step-by-step explanation:

-12 is greater than -21 because -12 is the closest to 0 on the number line.

I NEED HELP with edges ans skwe lines HELP ME DUE IN 6 HOURS

Answers

Answer: Figure name: hexagonal pyramid.

bases: 1 base

faces: LRM, LMN, LNO, LOP, LPQ, LQR

edges: LO, LP, LQ, LR, LM, LM, PO, ON, NM, MR, RQ, QP.

vertices: L, O, P, Q, R, M, N.

hope this helps! ;)

Campbell's is designing a new label for their soup cans that covers the entire side of the can The soup can has a height of 8 inches and a radius of 2.5 inches. Determine how much material is needed to create each label.

Answers

Answer:

When π is approximated, 125.68, or 40π

Step-by-step explanation:

Circumference formula is 2πr

This is approx: 15.71

Multiply that by 8 to find the surface area of the side of the can.

The answer is 125.68.

HOWEVER, if you are expressing this without approximating π,

it would be 5(Pi), then multiply by 8, and we would get 40π

So un-simplified is 40π

Final answer:

The amount of material needed to create each label for Campbell's soup cans is 40π square inches.

Explanation:

To determine the amount of material needed to create each label for Campbell's soup cans, we need to find the lateral surface area of the can. The lateral surface area is the area of the curved surface. Assuming the label covers the entire side of the can, we need to find the area of the curved surface which can be calculated using the formula:

Lateral Surface Area = 2 * π * radius * height

Substituting the given values, we have:

Lateral Surface Area = 2 * π * 2.5 * 8 = 40π square inches.

.45 is 1/10 of what decimal?

Answers

Answer:

4.5

Step-by-step explanation:

To get the answer, you have to multiply the number 0.45 by the denominator of 1/10. [The denominator is 10.]The reason for this is because 10 is the whole number of parts. When you multiply 1/10 x 0.45, you get 4.5 [Just move the decimal point one place to the right because 10 has one zero.]

To double check your answer, divide 4.5 by 10 or multiply 4.5 x 1/10. Either way you get 4.5, so that's the correct answer.

I hope this helps!

In a survey 3/4 of 400 parents said yes, they give their children fruit snack. How many answered yes to the survey?

Answers

300 parents

3/4 = x/400, and we are trying to find x.

Multiply the numerator and denominator of 3/4 each by 100 to make the denominator equal 400. This gives 300/400. So, 300/400 = x/400.

Multiply both sides of the equation by 400 to cancel out the division. This gives you 300 = x, so 300 parents said yes to the survey.

A soup can has a diameter of 8 centimeters and a height of 15 centimeters. About how much soup does the can hold? Use 3.14 for pi. Round to the nearest tenth.

Answers

Answer:

754 cm cubed i believe the answer is

Step-by-step explanation:

Write each expression with fewer terms

Answers

Answer:

a.) 8m

b.) -5k+13m

c.) 3k+6m

Hope This Helps!  Have A Nice Day!!

Need contact number for this app!!!

Answers

Answer:

There is no number, I believe, but here:

https://brainly.com/app/contact

hope that helps!

huh I don’t know but hope you find what your looking for

What is the perimeter of a square with a side length of 5(2p + 3)?

Answers

Answer:

P = 40p + 60

Step-by-step explanation:

The formula of a perimeter of a square withe side a:

P = 4a

We have a = 5(2p + 3).

Substitute:

P = 4[5(2p + 3)]               use the distributive property

P = 4[(5)(2p) + (5)(3)] = 4(10p + 15) = (4)(10p) + (4)(15)

P = 40p + 60

The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x + 2) = 24, where x is the width in inches, represents this situation. The value of x from the set {1, 3, 5, 7} that holds true for the equation is . So, the width of the rectangle is inches and its length is inches.

Answers

Answer:

Width is 5 and length is 7

Step-by-step explanation:

You can solve the equation using the distributive property and inverse operations.

2x +2(x+2)=24

2x + 2x + 4 = 24

4x + 4 = 24

4x = 20

X = 5

This means the width is 5 and the length is 7.

Final answer:

The width of the rectangle is 5 inches and its length is 7 inches.

Explanation:

The given equation 2x + 2(x + 2) = 24 represents the situation with a rectangle's length being 2 inches more than its width and the perimeter of the rectangle being 24 inches. To find the value of x from the set {1, 3, 5, 7} that holds true for the equation, we can substitute each value into the equation and solve for x. By trying each value, we find that x = 5 holds true for the equation.

Therefore, the width of the rectangle is 5 inches and since the length is 2 inches more than the width, the length would be 7 inches.

What is the 3rd term in the sequence and how do you set it up

Answers

Answer:

135

Step-by-step explanation:

Using the given recursive rule, then

[tex]a_{2}[/tex] = [tex]a_{1}[/tex] (- 9) = [tex]\frac{5}{3}[/tex] (- 9) = - 15

[tex]a_{3}[/tex] = [tex]a_{2}[/tex] (- 9) = - 15 × - 9 = 135

Other Questions
11-2e+2+7e combining The dot plot below shows how many customers purchased different numbers of shirts at a sale last weekend.What is the mean absolute deviation of the data set shown? A. 1.16 B. 3 C. 2 D. 3.3 What is not a function of mucus in the nasal cavity?a. to warm air entering the respiratory systemb. to break down oxygen entering the respiratory systemc. to moisten air entering the respiratory systemd. to trap particles entering the respiratory system 7.According to the AHDI, use initial capital letters in __________ terms, which are names of phrases formed from or including the name of a person. A positive or negative outcome of a decision or action can be called a _____. a. Boon b. Consequence c. Tragedy d. Advantage Read the excerpt from "Harrison Bergeron." "I am the Emperor!" cried Harrison. "Do you hear? I am the Emperor! Everybody must do what I say at once!" He stamped his foot and the studio shook. "Even as I stand here" he bellowed, "crippled, hobbled, sickenedI am a greater ruler than any man who ever lived! Now watch me become what I can become!" What do Harrison's words and actions reveal about his character? He wants to become like the Handicapper General and have absolute power. He wants to rebel against the law and show off his superior gifts. He wants to force everyone to appreciate music and dancing. He wants to make the people watching television fear for their lives. Match the zones ant their characteristics please help The cost in dollars, C, of renting a carpet cleaner is given by the linear equationC = 20 + 25x, where x is the number of days.Use this model to find the number of days it can be used for $170.A)4B)5C)6D) Definite the word plethora 1) Where is the center of policymaking? 2) What are the attractions to the job of being a member of Congress? 3) What is substantive representation? 4) What is meant by pork barrel projects? 5) What are the advantages of incumbency and why do incumbents lose? 6) What do PACs buy with their money? 7) What is bicameralism? 8) Know what is meant by the act of impeachment and the process of impeachment 9) What are the differences between the House of Representatives and the Senate? 10) What do congressional whips do? 11) What is a filibuster? 12) Why are committees and subcommittees important to Congress? 13) Know the different types of committees 14) What is presidential power according to Neustadt? 15) Know the 22nd Amendment 16) Know the responsibilities of the vice-president 17) How does the President control the bureaucracy? 18) What are the OMB, NSC, and CEA? 19) Know the different types of vetoes 20) What is a midterm election? 21) What are electoral mandates? 22) Know the War Powers Resolution (1973) 23) How does the president use the press? 24) How do presidents use public opinion and public approval? 25) Know the budget process 26) What is incrementalism? 27) What is the military industrial complex? 28) What is budget reconciliation? NEED HELP ASAP!!! Will give brainliest!! Solve for Y18=y-37Please explain !!!! Elsie says that the question "Do you have any siblings?" is a statistical question. Mark says that "How many siblings do you have?" is a statistical question. Who is correct? What is the main goal of recommended dietary allowances (RDAs)?A. to inspect school cafeterias across the United StatesB.to regulate foods sold at supermarkets and farmers' marketsC.to investigate claims of tainted food being served in restaurantsD.to indicate daily nutrient requirements What does the bolded word mean?Perhaps she and her power-hungry progeny could usurp the new leaders.Question 3 options:relativescousinssiblingsoffspring or children genectics is impmortant because... Simplify.(2w)^4Write your answer without parentheses. What is the effect of the point of view in this passage? Boxing gloves are padded to lessen the force of a blow. (a) Calculate the force exerted by a boxing glove on an opponents face, if the glove and face compress 7.50 cm during a blow in which the 7.00-kg arm and glove are brought to rest from an initial speed of 10.0 m/s. (b) Calculate the force exerted by an identical blow in the days when no gloves were used and the knuckles and face would compress only 2.00 cm. (c) Discuss the magnitude of the force with glove on. Does it seem high enough to cause damage even though it is lower than the force with no glove? Read the following sentence, changing the verb from the present tense to the preterite tense. Put the preterite form of the verb in the answer blank.Yo pongo el auricular en la mesa.