MATHEMATICS MIDDLE SCHOOL

The outside diameter of a flywheel rim is 3 1/2 feet. The inside diameter of the rim is 2 feet 10 inches. Find the area of the rim to the nearer hundredth square inch.

Answers

Answer 1
Answer:

Answer:

  477.52 square inches

Step-by-step explanation:

The outside diameter is (3 1/2 ft)(12 in/ft) = 42 inches. So, its radius is 21 inches.

The inside diameter is 2 ft 10 in = 34 inches. So, its radius is 17 inches.

The difference in areas of a circle with 21 inch radius and a circle with 17 inch radius will be found using the area formula for a circle:

  A = πr²

The area difference is ...

  rim area = π((21 in)² -(17 in)²) = 152π in²

  rim area ≈ 477.52 in²

_____

Comment on the calculation

To have an answer accurate to 5 significant digits, you must use a value for pi that is accurate to at least 5 significant digits: 3.1416 or 3.14159.

Related Questions

Johan buys three flats of flowers he plants 2/5 of the flowers and then divides the remaining flowers amongst five friends. What fraction of the flat of flowers does each of Johahn's friends get?
Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. 49/100
The Beach Hut purchased a supply of sunglasses and visors. The ratio of sunglasses to visors was 7:4. Each pair of sunglasses cost $6.00, each visor cost $4.50, and the total bill was $720. How many pairs of sunglasses were purchased?
How many times do 567 go into 5
Factor out the coefficient of the variable: 2.4n + 9.6

How much interest will be paid in 2 years for a loan of $1500 at 8.25% simple interest ?

Answers

8.25\%=0.0825\n\n0.0825\cdot\$1500=\$123.75-after\ the\ one\ year\n\n\$1500+123.75\$=\$1623.75\n\n0.0825\cdot\$1623.75=\$133.96-after\ the\ second\ year\n\n\$123.75+\$133.96=\$257.71-answer

What is 100% divided by 7

Answers

14.29 %because you change 100 to a decimal and that's 1 and 1/7 is .1428571428 and then change it back to a percent so its 14.29% rounded

Answer:

I think the answer is 0.07%????

Step-by-step explanation:

7 divided by 100 is 0.07

100 divided by 7 is 14.28571429

Sandra runs a water slide at the water park and needs to count the people who go down the slide. At the beginning of her shift, 178 people had gone down the slide. The table shows the total number of water sliders for several times during Sandra's shift.Hours into Sandra's shift

0 1 2 3
Total number of people

178 224 270 316
What is the equation in slope-intercept form that represents the total number of water sliders over time?

Choose the correct expressions from the drop-down menus to create the equation in slope-intercept form.

Answers

The table of total number of water sliders is an illustration of a linear function.

The equation in slope intercept form is: \mathbf{y = 46x + 178}

From the table, we have the following points.

\mathbf{(x_1,y_1) = (0,178)}

\mathbf{(x_2,y_2) = (1,224)}

Calculate the slope (m)

\mathbf{m = (y_2 - y_1)/(x_2 - x_1)}

So, we have:

\mathbf{m = (224 - 178)/(1 - 0)}

\mathbf{m = (46)/(1 )}

\mathbf{m = 46}

The linear equation is then calculated as:

\mathbf{y = m(x - x_1) + y_1}

So, we have:

\mathbf{y = 46(x - 0) + 178}

\mathbf{y = 46x + 178}

Hence, the equation in slope intercept form is: \mathbf{y = 46x + 178}

Read more about linear functions at:

brainly.com/question/19608769
The answer is y = 46x + 178. I did this question b4 and this was the answer

Solve the Equation!!


Z - 2/3 = 1/8

Answers

z- (2)/(3) = (1)/(8) \n\n z = (1)/(8) + (2)/(3) \n\nz = (3)/(24) + (16)/(24)\n\nz = (3+16)/(24) \n\nz= (19)/(24)

The value of Z in the equation given is 19/24.

Given is an equation, Z - 2/3 = 1/8, we need to solve for Z,

To solve the equation Z - 2/3 = 1/8, follow these steps:

To clear the fraction, we can multiply every term in the equation by the least common multiple (LCM) of the denominators, which in this case is 24.

This step eliminates the fractions from the equation.

Multiplying each term by 24:

24(Z) - 24(2/3) = 24(1/8)

Simplifying:

24Z - 16 = 3

To isolate the variable Z, we need to get rid of the constant term (-16) by adding 16 to both sides of the equation.

24Z - 16 + 16 = 3 + 16

Simplifying:

24Z = 19

To solve for Z, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 24.

24Z/24 = 19/24

Simplifying:

Z = 19/24

Therefore, the solution to the equation Z - 2/3 = 1/8 is Z = 19/24.

Learn more about equation click;

brainly.com/question/29538993

#SPJ6

7k^2-16k+100=0 using completing the square ?

Answers

7k^2-16k+100=0

7k^2-16k=-100

Add a squared constant to both sides:

7k^2-16k+c^2=c^2-100

On the left, we wish to condense the quadratic into a squared binomial,

(\sqrt7\,k-c)^2

Expanding this gives

7k^2-2c\sqrt7\,k+c^2

which tells us

-2c\sqrt7=-16\implies c=\frac8{\sqrt7}

Then c^2=\frac{64}7, and

\left(\sqrt7\,k-\frac8{\sqrt7}\right)^2=\frac{64}7-100

\left(\sqrt7\,k-\frac8{\sqrt7}\right)^2=-\frac{636}7

If you're looking for real-valued solutions, there are none, since the square root of a negative number doesn't exist... but if you're allowing complex-valued solutions, we can take the square root of both sides to get

\sqrt7\,k-\frac8{\sqrt7}=\pm 2i\sqrt{\frac{259}7}

Multiply both sides by \sqrt 7 to eliminate denominators, then solve for k:

7k-8=\pm 2i√(259)

7k=8\pm 2i√(259)

\boxed{k=\frac{8\pm2i√(259)}7}

What is the LCD of 5/12 and -9/16 ?

Answers

The least common denominator of 5/12 and -9/16 

The answer is 48.

Now, we have to change the numerators also to make this a equal fraction to the first ones we had.

5*4 = 20
12*4 = 48

20/48

-9*3 = -27
16*3 = 48

-27/48
List the multiples of 12 and 16

Multiples of 12: 12, 24, 36, 48, 60
Multiples of 16: 16, 32, 48, 64, 80

So, the LCD of 12 and 16 is 48.

Least Common Denominator is the same thing as Least Common Multiple.
Other Questions
What is the range of the relation (-3,6),(5,2),(-1,-5),(6,-3)
How to solve number one
-3x+9y=-27 in y-intercept form
12.3 – (-9.6) = 12.3 + 9.6 Simplify the expression , and explain what the number means with regard to the problem.