How do you write three hundred four million,eight hundred thousand,four hundred

What is the area of a sector with a central angle of 2pi/9 radians and a diameter of 20.6mm? Use 3.14 for Ali and round your ans

LuckyWell [14K]

- The area of the circle is:

A=πr²

A is the area of the circle.
π=3.14
r is the radius of the circle.

- To calculate the area of the sector indicated in the problem, you must apply the following formula:

As=(θ/2π)πr²

As is the area of the sector.
θ is the central angle (θ=2π/9)
π=3.14
r is the radius.

- First, you must find the radius:

r=Diameter/2
r=20.6 mm/2
r=10.3 mm

- Now, you can substitute the values into the formula As=(θ/2π)πr². Then, you have:

As=(θ/2π)πr²
As=(2π/9/2π)(π)(10.3)²
As=(π/9π)(π)(10.3)²
As=(3.14/9x3.14)(3.14)(10.3)²

- Finally, the area of the sector is:

As= 37.01 mm²

6 0

3 years ago

Read 2 more answers

How to solve 1/4 - -4/3 - -1 2/9

Ahat [919]

Answer:

2 29/36

Step-by-step explanation:

So circle the two signs., so the problem is now this:

1/4+4/3+1 2/9

Then you find the GCM, or Greatest Common Denominator.

It is 36. Then, you re-write the new answers

9/36+ 48/36+ 1 18/36

Now we have this:

1 65/36

The answer is 2 29/36

8 0

3 years ago

Monica has walked 3/2 miles in 2/3 of an hour. How many miles can Monica walk in one hour?

defon

Answer:

2.25 Miles is how many miles Monica can walk in one hour.

Step-by-step explanation:

You take 3/2 which is 1.5 in decimal form then take the 2 out of 2/3 divide 1.5 by 2, you get 0.75 then you add 0.75 to 1.5 and you get 2.25 which is how many miles she walks in one hour.

3 0

2 years ago

Read 2 more answers

Bernadette works at a Car Lot in Buffalo selling used cars. Each month Bernadette receives $2000 plus she receives a 5% commissi

natta225 [31]

Answer:

The total amount of money Bernadette earned in April was $6200

Step-by-step explanation:

Let us solve the question

∵ Each month Bernadette receives $2000

∵ She also receives a 5% commission for all of her sales

∴ She earns each month = 2000 + 5% of her sales

∵ In April, Bernadette sold $84,000 worth of used cars

→ Multiply it by 5% to find her commission

∴ Her commission = 5% × 84,000

→ Change 5% to decimal by divide it by 100

∵ 5% = 5 ÷ 100 = 0.05

∴ Her commission = 0.05 × 84,000

∴ Her commission = $4200

→ Add her commission to her fixed amount to find her salary in April

∵ She earned in April = 2000 + 4200

∴ She earned in April = 6200

∴ The total amount of money Bernadette earned in April was $6200

3 0

3 years ago

Read 2 more answers

A motor vehicle has a maximum efficiency of 39 mpg at a cruising speed of 40 mph. The efficiency drops at a rate of 0.1 mpg/mph

svp [43]

Answer:

38 mpg

Step-by-step explanation:

Initial efficiency = 39 mpg

Initial speed = 40 mph

Final speed = 50 mph

The efficiency drop between 40 mph and 50 mph is given by:

$E_d = 0.1 \frac{mpg}{mph}*\Delta V$

The total efficiency drop from 40 to 50 mph is:

$E_d = 0.1 \frac{mpg}{mph}*(50-40)mph\\E_d = 1\ mpg$

Therefore, the efficiency at 50 mph is:

$E_{50} = E_{40} -E_d\\E_{50} = 39 -1\\E_{50} = 38\ mpg$

5 0

3 years ago