The wedge is one-eighth of the wheel of cheese. A cylindrical-shaped wheel of cheese has a radius of 3 inches and height of 1 inch. A wedge of cheese is sliced from the whole. a. Find the surface area of the cheese before it is cut, round to the nearest hundredth. The surface area of the cheese before it is cut is in. $^2$ . b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth. The surface area of the remaining cheese after the wedge is removed is about square inches. Question 2 Did the surface area increase, decrease, or remain the same

Answers

Answer 1

Answer:

1. a. 75.39 in² b. 65.97 in²

2. Decreased

Step-by-step explanation:

1.

a. Find the surface area of the cheese before it is cut, round to the nearest hundredth.

Since the cheese is a cylinder with radius, r = 3 inches and height, h = 1 inch, its tital surface area, A = 2πr(r + h)

Substituting the values of the variables into the equation, we have

A = 2πr(r + h)

A = 2π(3 in)(3 in + 1 in)

A = (6π in)(4 in)

A = 24π in²

A = 75.39 in²

b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth.

Since the area of the wedge, A' is one-eight the area of the cheese, A

A'= A/8

= 75.39 in²/8

= 9.42 in²

The area of the remaining cheese is thus, area of cheese - area of wedge  = A - A' = 75.39 in² - 9.42 in² = 65.97 in²

Question 2 - Did the surface area increase, decrease, or remain the same

Since the area of the remaining cheese, A' = 65.97 in² < A = 75.39 in², area of original cheese, the surface area decreased.


Related Questions

Determine the location of a' after the image
has been dilated with a scale factor of 2

Answers

The answer is C on edge

What is the x-intercept of the equation -3x + 5y = -15

Answers

Answer:

Hi! Just for your safety do not click on the link in the other answer!

The answer to your questions is (5,0) Or another way to express it is 5.

Step-by-step explanation:

To find the x-intercept substitute 0 in for y and solve for x.

※※※※※※※※※※※※※※

⁅Brainliest is greatly appreciated!⁆

- Brooklynn Deka

Hope this helps!!

Need answer please !!

Answers

You would use P Theorem
You would get D
You would get 13/3

1. A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
a. Find the experimental probability of landing on a 2.
b. Find the experimental probability of not landing on a 6.
c. Compare the experimental probability you found in part a to its theoretical probability.
d. Compare the experimental probability you found in part b to its theoretical probability

Answers

Step-by-step explanation:

(A) you takeway 24 by 2 and add 6=28

Answer this for me please.

Answers

The answer is x=-5 and x=1
Explanation: you just look where the line crosses the x axis which is left to right

Please help this is due tomorrow!!!

Answers

Answer:

Use the Pythagorean therm

Step-by-step explanation:

A squared(one leg) + B square(one leg) = C(aka the hypotenuse)

brainlist plz

find the mode, 3,1,9,3,1,2,3
{math}

Answers

3, it’s the number that appears the most

Erica finds a block of cheese in her
fridge. Originally, the block weighed
126 g, but there is only 60% of it left.
How many 10-g wedges can she cut
from the cheese that is left?
8
21
12
7

Answers

Answer:

7

Step-by-step explanation:

126 g is what you originally had which=60% of whats left

you have to find out how many 10 wedges she can cut from the cheese that is left over

Work Shown:to find how much is left you have to multiply 126 by 60% remember when you multiply you have to move the decimal, and decimal is moved twice, so the answer would be 75.60 after you were done solving it and the number that is closest would be 70 so you would multiply 10 by 7=70 and the reason you pick that is because it is closer to 75.60.

So 7 is the answer.

The first bus stop on a bus route is 4 miles from school. How many yards is the first bus stop from school?

Answers

Answer:

7040 yards

Step-by-step explanation:

1 mile = 1760 yards

1 x 4 miles = 1760 x 4 yards

4 miles = 7040 yards

The answer is 7040 yards

There are 45 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/5 of the remaining students gave their speeches. How many students still haven't given their speeches?​

Answers

1/3 of 45 is 15, meaning 15 students gave their speech on day 1

Today 2/5 of the remaining students gave their speech. That’s 12 more

So a total of 27 students gave their speeches. That means 18 students remain. The answer is 18

please please please help me :(((​

Answers

Answer:

In the last diagram the object is being acted upon by forces not adding up to zero.

Step-by-step explanation:

(Assuming force 1=force 2 in terms of magnitude)

Let forces acting towards the left = -1

Let forces acting toward the right = +1

In the first diagram, force1 is acting towards the left and force2 is acting towards the right:

Total force = force1+force2=-1+1=0

In the second diagram, force1 is acting towards the left and force2 is acting towards the right:

Total force = force1+force2=-1+1=0

In the third diagram, force1 is acting towards the right and force2 is acting towards the left:

Total force = force1+force2=+1-1=0

In the fourth diagram, force1 is acting towards the left and force2 is acting towards the left:

Total force = force1+force2=-1-1=-2. Here, the forces do not add up to zero.

What is 1 1/4 + 3 3/8 = pls show your work

Answers

Answer:

Exact form: 37/8 Decimal form: 4.625 Mixed number form: 4 5/8

Step-by-step explanation:

dd the whole numbers first.

4+\frac{1}{4}+\frac{3}{8}

4+

4

1

+

8

3

2 Find the Least Common Denominator (LCD) of \frac{1}{4},\frac{3}{8}

4

1

,

8

3

. In other words, find the Least Common Multiple (LCM) of 4,84,8.

LCD = 88

3 Make the denominators the same as the LCD.

4+\frac{1\times 2}{4\times 2}+\frac{3}{8}

4+

4×2

1×2

+

8

3

4 Simplify. Denominators are now the same.

4+\frac{2}{8}+\frac{3}{8}

4+

8

2

+

8

3

5 Join the denominators.

4+\frac{2+3}{8}

4+

8

2+3

6 Simplify.

4\frac{5}{8}

4

8

5

Kriti has 20 coins that make up a total of 41 in the denomination of 1-rupee, 2-rupee, and 5-rupee coins.
The number of 2-rupee coins are three times the number of 5-rupee coins.

Answers

Answer:

8

Step-by-step explanation:

Let us assume the following things

x be no of 5 rupees coins

y be no of 2 rupees coins

z be no of 1 rupees coins

Now accoridng to the question

5x + 2y + z = 41

x + y + z = 20

y = 3x

Now do the elimination of variables

So,  

4x + y = 21

7x= 21

x = 3

y = 9

z= 8

hence, the 1-rupee coin would be 8

GEOMETRY find the angle of PRQ NO LINKS!!

Answers

Answer:

55

Step-by-step explanation:

Remark

This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )

The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).

Please help! I need this answer fast!
Frank left his house at 7 am and drove to the airport at a speed of 50 mph. Lance left his house at 6 am and drove to the same airport at a speed of 55 mph. Frank's house is 150 miles from the airport and Lance's house is 220 miles from the airport.

At what time did Lance arrive at the airport?

Answers

Answer:

87

Step-by-step explanation:

Answer: 10:00 AM

This is the answer, and it’s correct. I did this problem and it’s 10:00 AM

write 9/6 as a mixed number

Answers

Numerator. This is the number above the fraction line. For 9/6, the numerator is 9.
Denominator. This is the number below the fraction line. For 9/6, the denominator is 6.
Improper fraction. This is a fraction where the numerator is greater than the denominator.
Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 9/6 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

9/6= 1.5 = 1

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (1) and multiply it by the original denominator (6). The result of that multiplication is then subtracted from the original numerator:

9 - (6 x 1) = 3

Step 3: Our mixed fraction

We've now simplified 9/6 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

1
3
6


9/6 can be written as the mixed number 1 1/2.

This means there is 1 whole unit and 1/2 (or half) remaining.

To write 9/6 as a mixed number, we need to divide the numerator (9) by the denominator (6).

When we divide 9 by 6, we get a quotient of 1 and a remainder of 3.

So, 9 divided by 6 is 1 with a remainder of 3.

We can express this as a mixed number by combining the whole number and the fraction:

1 + 3/6

However, the fraction 3/6 can be simplified. Both the numerator and denominator share a common factor of 3.

Dividing both by 3 gives us:

1 + 1/2

Now, we have the whole number part (1) and the proper fraction part (1/2).

Putting it all together, the mixed number representing 9/6 is: 1 1/2

Therefore, 9/6 can be written as the mixed number 1 1/2.

This means there is 1 whole unit and 1/2 (or half) remaining.

So, 9/6 as a mixed number is 1 1/2.

To learn more on division click:

brainly.com/question/21416852

#SPJ6

Pleaseeeeeeeeeeee helpppp

Answers

Answer:

I think is 40

Step-by-step explanation:

good luck

Answer:

i don know what because this makes no sense

Step-by-step explanation:

good luck

1. What is your daily income if you earn $10.75/h as a camp counsellor and you work
10 hours per day?

Answers

$10.75 an hour * 10 hours per day = $107.5
Your daily income is $107.5.

13. Justify Conclusions Determine whether each statement is sometimes,
always, or never true. Justify your answer.

Answer

A. It is possible for a triangle to have two right angles?

B it is possible for a triangle to have two right angles.

Answers

Answer:

False. It is not possible for a triangle to have two right angles.

Step-by-step explanation:

Every triangle has 3 sides and, therefore, 3 angles (hence its name "tri" (three) "angle" (angles). Always, the sum of the three angles of a triangle will have a value of 180º. Therefore If two of the angles of a triangle were right, that is, they measured 90º, the third angle would be 0º, that is, it would be non-existent.Therefore, it is impossible for two angles of a triangle to be right angles.

Francesca deposited $70 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have in 2 years? Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer $

Answers

Answer:  $84

Step-by-step explanation:

70x0.1=7x2=14+70=84

Aidans hourly salary is $11. If Aidan normally works a 40 hour week , then how much is normally earned in a week?

Answers

Answer:

$440

Step-by-step explanation:

40x11=440

hope it helped

plz mark me as brainliest.

Find the value of x.

A. 10
B. 17
C. 14
D. 7

Answers

Answer:

x = 7

Step-by-step explanation:

By a certain theorem, Congruent chords are equidistant from the center of a circle. We know these chords are congruent because the top half of the left chord and bottom half of the right chord are congruent.

We also know that a radius perpendicular to a chord will bisect it, meaning the length of each chord is 20, but that's irrelevant, really.

So, now that we know the chords are equidistant from the center, we also know that x will be equal to 7.

Have a nice day, fam.

.......,,,,,,;,,.,.........

Answers

Answer:

lol dababy ur my idol

Step-by-step explanation:

84b /32b

3b

Answer:

3b^2

Step-by-step explanation:

12b^7 / 4b^5  

=12b^7/ 4b^5

=12b^2/4

=3b^2

Select the best answer for the question.
16. Phil Smith is a car salesman. Last
week his total sales amounted to
$27,650.00, and he received $1,382.50 in
commission. What is his rate of
commission?
O

Answers

Answer:

5 Percent

Step-by-step explanation:

Last week his total sales amounted to $27,650.00, and he received $1,382.50 in commission. His rate of commission is 5 percent.

2.1.1 Taxable income.
2.1.2 Tax rebates.
2.1.3 Tax threshold.​

Answers

Answer:

Taxable income:

Taxable income includes wages, salaries, bonuses, and tips, as well as investment income and various types of unearned income. ... Taxable income also includes earnings generated from appreciated assets that have been sold during the year and from dividends and interest income.

Tax rebates:

A tax rebate (or tax refund) is money you reclaim from HMRC if you've paid too much tax. Travel tax refunds are a great example. If you're paying your own way to get to temporary workplaces, you can claim back some tax on your travel expenses.

Tax threshold:

The tax threshold is the amount of income below which you do not pay any income tax. The filing threshold is the income amount below which you do not have to file a tax return to Sars.

HELP ASAP!!

The parent function f(x)= square root of x is translated 2 units right, compressed horizontally by a factor of 21 , and reflected across the x-axis.

Answers

Answer:

Ok? what's the question

Step-by-step explanation:

Answer:

i did my best to try and find something, do any of these help? lmk

Step-by-step explanation:

In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 11 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 min. The minimum sample size required is_______computer users. (Round UP to the nearest whole number.)

Answers

Answer:

1568

Step-by-step explanation:

The computation of the minimum sample size is shown below:

Given that

Error E = 11

The population standard deviation [tex]\sigma[/tex] =217

Confidence level 1-α = 95%

Now following formula should be used

n > (Zalpha ÷ 2 × sigma ÷ E)^2

As we know that

Zalpha ÷ 2= 1.96

Now the sample size is

n> (1.96 × 202  ÷ 10)^2

= 1568

The area of a rectangle Is 52 ft?, and the length of the rectangle is 5 ft less than twice the width. Find the dimensions of the rectangle. ​

Answers

Let x = width. Then, length = 2x - 5

x(2x - 5) = 52

2x2 - 5x - 52 = 0

(2x - 13)(x + 4) = 0

x = 6.5 or x = -4

Since x can't be negative, x = 6.5

width = x = 6.5 feet
length = 2x - 5 = 8 feet

Select the correct comparison.
Set A
Set B

Answers

I believe it is set A Correct me if i’m wrong
The answer is A I Believe

g Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two new random variables as Find cov(Z, W)

Answers

Answer: hello your question is incomplete below is the complete question

Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two new random variables as Z = 11 - X + X²Y, W = 3-Y. find cov ( Z, W )

answer : Cov ( Z, W ) = -1

Step-by-step explanation:

Z = 11 - X + X²Y

w = 3 - Y

Cov ( Z, W ) = Cov ( 11 - x + x^2 Y , 3 - Y )

  = Cov ( 11, 3 ) - Cov ( 11, Y ) - Cov(x,3) + cov (x,y) + cov(x^2y, 3) -cov (x^2y, y )

attached below is the remaining part of the detailed solution

hence

Cov ( Z, W ) = -1

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