In order to make a doughnut, a circular piece of dough that has a diameter of 2 inches is cut out of the center of a larger circular piece of dough that is 5 inches in diameter. What is the surface area of the top of the doughnut? You may leave your answers in terms of π.

Answers

Answer 1

Answer:

1.5π

Step-by-step explanation:

Inner circle area = π

Outer circle area = 2.5π

surface area = 2.5π-π = 1.5π

HOPE THIS HELPS!

Answer 2

The surface area of the top of the doughnut is 21[tex]\pi[/tex] sq inch.

How to find the area of a sector of a circle?

Sector of a circle is like slice of a circular pizza. Its two straight edge's having an angle, and edge's length(the radius of the circle) are two needed factors for finding the area of that sector.

Since the whole circle with radius 'r' units have 360 degrees angle on center of the circle, and its area is

[tex]\pi r^2 \: \rm unit^2, thus, as the angle lessens, this area gets lessened. 360 degree = > \pi r^2 \: \rm unit^2 area1 degree = > \pi r^2 \: \rm unit^2/360 areax degree = > \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area[/tex]

Thus, area of a sector with edge length 'r' units and interior angle 'x' degrees is given as:

[tex]A = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area[/tex]

Given;

The diameter of inner dough=2inches

The diameter of outer dough=5inches

To find the surface area of doughnut

=surface area of outer dough - surface area of inner dough

= [tex]\pi[/tex]R^2-[tex]\pi[/tex]r^2

=25[tex]\pi[/tex]-4[tex]\pi[/tex]

=21[tex]\pi[/tex]

Therefore, the area will be 21[tex]\pi[/tex] sq inch.

Read more about areas at;

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Related Questions

can someone help please

Answers

Answer:

B C And D are the correct points hope it helps

Answer B is correct :)

Write down in terms of n, an expression for the nth term of the following sequence b) -7 -12 -17 -22 -27

Answers

Answer:

If you were taught that the first element in the sequence is at n = 0:

-7 - 5n

If you were taught that the first element is at n = 1:

-2 -5n

Step-by-step explanation:

First, find a pattern in the elements of the sequence. At first glace, I notice that each consecutive number is the previous number minus 5.

Thus it can be seen that for each consecutive number in the sequence, 5 is subtracted from negative 2 n times! Therefore, the expression must be:

-2 - 5n

Let's double check the expression! When n = 3, it should equal -17.

-2 - 5(3) = -17

And when n = 5, it should be -27:

-2 - 5(5) = -27.

This is the case if the first element in your sequence is n = 1, if you've been taught that the first element is n = 0, the expression would be:

-7 - 5n

I will give brainleist to the first one that answers
Need help ASAP

Answers

Answer:

11

Step-by-step explanation:

1) Write as a percent: 0.2

2) Write as a percent: 0.365

3) Write as a percent: 0.58

4) Write as a percent: 2.65

5) Write as a percent: 0.9013

Answers

Answer:

Q1.2 percent

Q2.36.5 percent

Q3.58 percent

Q4.265 percent

Q5.90.13 percent

Can you solve this for me? Thank you! :>

Answers

The answer is A I did the test.
The answer is A I got a 100 on this text

Can you solve this for me? Thank you! :>

Answers

Answer:

16w+40 (A) Is The answer

A is the correct answer

Can you solve this for me? Thank you! :>

Answers

Answer:

$1.25

Step-by-step explanation:

just divide 8 on both sides and you get the price for one peice of pie

have a great day

Answer:

p=1.25

Step-by-step explanation:

Divide 8 by the variable and sum in order to get P by itself.

10÷8= 1.25

p=1.25

each molecule of water contains 2 hydrogen atoms and 1 oxygen atom. complete the table. is the number of hydrogen atoms a function of the number of oxygen atoms?explain.​

Answers

Answer:

Number of Oxygen atoms         Number of Hydrogen atoms

1                                                  2

2                                                  4

3                                                  6

4                                                  8

The number of hydrogen atoms is not a function of the number of oxygen atoms. This is because the number of hydrogen atoms in a molecule of water is always twice the number of oxygen atoms. This relationship is defined by the chemical formula of water, which is H2O. Therefore, the number of hydrogen atoms is a fixed value and it doesn't change based on the number of oxygen atoms.

Step-by-step explanation:

The first term in a pattern is 184. The pattern follows the rule "divide by 2." Find the next three terms in the pattern.

Answers

Answer: 92, 46, 23

Step-by-step explanation:

184/2 = 92

92/2= 46

46/2= 23

184/2=92
92/2=46
46/23

How did I get this one Wrong?

Answers

Answer:

Step-by-step explanation:

$11.50 is the subtotal. "Including tax" means a customer pays extra money other than the subtotal. When you buy something, you cannot pay higher than your remaining cash.

The answer is actually C, 11.50 is the constant as x is being plugged to how many times the constant can be multiplied by. A greater than sign means Kelly earns MORE MONEY than $118

its the third one featuring kelly, she must make more than $118 and she charges $11.50 a lawn so $11.50x > $118 .

What is 1/9 as a simplified fraction??

Answers

1/9 is already a simplified fraction. It cannot be simplified any further because there are no common factors between the numerator and denominator that can be divided out.

It’s at ur final form cannot be more simplified

Part 2 of the Netflix thingy

Trenton has a checking account that he uses to pay for his monthly subscription to Netflix. The graph represents the total amount of money in his account after each month

Answers

Answer:34

Step-by-step explanation:

45

ANSWER PLEASE QUICK ‼️
2. Lonzo opened a bank account that earns 1.2% simple interest each year. After 7 years, Lonzo will earn $126 in interest. How much did Lonzo deposit when he opened the account?​

Answers

Answer:   1500 dollars

===========================================

Work Shown:

i = P*r*t

126 = P*0.012*7

126 = P*0.084

P = 126/0.084

P = 1500 dollars

----------------

Explanation:

i = interestP = deposit amountr = 0.012 is the decimal form of the 1.2% interest ratet = number of years

Make sure you use the decimal form of r, and not the percent form.

Answer:

$116.24

Step-by-step explanation:

the simple interest formula is A = P(1 + rt), where A is the final amount, P is the initial amount, r is the interest rate in decimal form, and t is the amount of time in years.

we can plug in the values from the problem and set up this equation:

126 = P(1 + 0.012(7))

simplify and isolate P to get:

[tex]P=\frac{126}{1+0.012(7)}[/tex]

now, we simplify further to get our answer:

P = 116.24

hope this helped, good luck!

Maria has started a business for logo design. She began with 30 followers and currently has 658. Express this change as a percentage.

A-20% increase
B-2093% decrease
C-45% increase
D-2093% increase

Answers

Answer:

D-2093% increase

Step-by-step explanation:

D-2093% increase,I think so

The table shows the five countries with the least area. By what factor must you multiply the area of Monaco to get the area of San Marino? A. 8 B. 16 C. 32 D. 40

Answers

Answer: The answer is C.

Step-by-step explanation: Monaco has 0.75 sq miles. San Marino has 24 sq miles. 0.75 x c(32)=24.

Answer:

C

Step-by-step explanation:

A candy bar is \large 5\frac{1}{3} inches long. If it is divided into pieces that are each \large 1\frac{1}{4} inches long, then how many pieces of candy bar will there be?
( PLEASEEEE I need help on this one I really appreciate it )

Answers

Answer:

4 4/15

Step-by-step explanation:

5 1/3 divided by 1 1/4

16/3 divided by 5/4

16/3*4/5

64/15

4 4/15

Answer:

[tex]4 \frac{4}{15}[/tex]

Step-by-step explanation:

Given expression:

[tex]5\frac{1}{3} \div 1\frac{1}{4}[/tex]

Rewrite the mixed numbers as improper fractions:

[tex]\implies \dfrac{5 \times 3+1}{3} \div \dfrac{1 \times 4+1}{4}[/tex]

[tex]\implies \dfrac{16}{3} \div \dfrac{5}{4}[/tex]

To divide fractions, flip the second fraction, then multiply:

[tex]\implies \dfrac{16}{3} \times \dfrac{4}{5}[/tex]

[tex]\implies \dfrac{16\times4}{3\times5}[/tex]

[tex]\implies \dfrac{64}{15}[/tex]

Divide the numerator by the denominator:

[tex]\implies 64 \div 15 = 4 \; \rm remainder\;4[/tex]

The mixed number answer is the whole number and the remainder divided by the denominator:

[tex]\implies 4 \frac{4}{15}[/tex]

Therefore, if a candy bar of length 5¹/₃ inches is divided into pieces that are each 1¹/₄ inches long, there will be 4⁴/₁₅ pieces of candy bar.

6) Write as a percent: 0.976

7) Write as a percent: 0.155

8) Write as a percent: 0.4765

9) Write as a percent: 0.295

10) Write as a percent: 0.07

11) Write as a percent: 6.56
( thank you for your help I appreciate it! )

Answers

Answer:

6) 97,6%

7) 15,5%

8) 47,65%

9) 29,5%

10) 7%

11) 656%

Find the perimeter of the triangle if x = 2.

Answers

The perimeter is 6
a+b+c
Substitute a b and c for 2
And that equals 6

Could you mark my answer as the brainiest
The perimeter is 6 (if not already done)

Can you solve this for me? Thank you! :>

Answers

Answer:

x=90

Step-by-step explanation:

(3)1/3x=(3)30

3/3x=90

x=90

please help mee

The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 68%, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.

Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.

Answers

Answer:

a) Likely

Step-by-step explanation:

The probability of an event is a measure of the likelihood of that event occurring. In this case, P(chocolate chip) = 68% means that there is a 68% chance of randomly selecting a chocolate chip cookie from the batch. A probability of 68% is considered a relatively high probability, making it likely that a chocolate chip cookie will be selected.

the answer will be likely because there is a 68% percent chance out of 100% to choose a chocalte chip cookie, and the other cookies only have a 16% chance

Find the volume of each figure. Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

2280 ROUNDING:228

Step-by-step explanation:

V=πr2h=π·112·6≈2280.79627

HELP?!!!! ITS A A AND B QUESTION

Answers

Answer:

A: 80 and B: 5.5

Step-by-step explanation:

For A, just multiply 20 and 4 and which you would get 80 miles. And for B, if 1 inch is equal to 20 miles, you can divide 110 and 20 but the answer will be 5.5 rather than 5.

I think this is right but if you can, try and see if it’s correct later.

Answer:

The person who answered first is correct.

Step-by-step explanation:

Solve for y.

−2y+7=−5
Responses

y = 6

y = 1

y = -1


y = -6

Answers

Answer: y = 6

Step-by-step explanation:

1. Subtract 7 from both sides to isolate -2y.

-2y = -12

2. Divide both sides by -2 to isolate the y.

y = 6

Y-6 mark be the brainiest

Identify the three triangle theorems explain what the theorem states

Answers

Answer:

The total of the three interior angles in any triangle is 180 degrees.

Can you solve this for me? Thank you! :>

Answers

A!! because its saying GPA is greater than or equal to 3.5 :)
The answers A it says the debate teams required to maintain a grade point average of no LESS than 3.5

What is 3/20 as a simplified fraction?

Answers

Answer:  The fraction is already in simplest form

Step-by-step explanation:

The given fraction is already in its simpliest form.

To simplify the fraction 3/20, we need to find the greatest common factor (GCF) of the numerator and the denominator and divide both by that factor.

The factors of 3 are 1 and 3, while the factors of 20 are 1, 2, 4, 5, 10, and 20. The greatest common factor of 3 and 20 is 1, as that is the largest number that divides evenly into both.

Dividing both the numerator and denominator by 1, we get:

(3 ÷ 1) / (20 ÷ 1) = 3/20

Since the GCF is 1 and there are no other common factors, the fraction 3/20 is already in its simplified form.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

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If the difference between X-4/3 and 2(x+5)/4 is two
What is x?

Answers

Answer: x = 10

Step-by-step explanation: To find the value of x, we can start by isolating x on one side of the equation. To do this, we can first subtract 2(x+5)/4 from both sides of the equation:

X-4/3 - 2(x+5)/4 = 2

We can then multiply both sides of the equation by 12 to clear the denominators:

4x - 16 = 24

Now we can add 16 to both sides of the equation:

4x = 40

Finally, we can divide both sides of the equation by 4 to solve for x:

x = 10

Therefore, the value of x is 10.

Using complete sentences, explain how to find the quotient of 8 2/3 divided by 1 3/5.
Make sure to include the quotient in your answer.

Answers

Answer: 4/5

Step-by-step explanation:

The answer should be 4/5

Can you solve this for me? Thank you! :>

Answers

Answer:

y=90

Step-by-step explanation:

To isolate y, you must do the inverse operation by dividing each side by 0.3

27/.03=90

The answer is 90 because if u divide 0.3 from both sides 27/0.3 will equal 90

similarities between parallelogram, and trapezoid

Answers

Answer:

A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid.

Answer:

Both a parallelogram and a trapezoid have four sides and four angles. Both shapes have opposite sides that are parallel to each other. The main difference between the two shapes is that in a parallelogram, opposite sides are equal in length, while in a trapezoid, only the two parallel sides are equal in length.

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