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3 years ago

The circumstance of a circle is 36pi inches what is the radius for this circle

Mathematics

1 answer:

frez [133]3 years ago

4 0

Circumference = 2pi*r

r = radius

In our problem,

circumference = 36pi

r = ?

Let's plug our values into the formula above.

36pi = 2pi * r

Divide both sides by 2pi

18 = r

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On a field trip they take busses and vans. Each bus holds 60 people and each van holds 10 people. If 390 people went on the trip

riadik2000 [5.3K]

Answer:

6 buses and 3 vans

Step-by-step explanation:

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3 years ago

Tom bought a PS4 on Black Friday for 25% off. If the system sells for $399, what is the sales price of the PS4?

Delicious77 [7]

Answer:

The sales price of the PS4 is $532.

Step-by-step explanation:

The system sells for $399 after giving 25% off on a Black Friday on the sales price.

Let the sales price of the PS4 system is $x.

Then after giving 25% discount the price will become $x(1 - \frac{25}{100}) = 0.75x$

Therefore, 0.75x = 399

⇒ x = 532

Therefore, the sales price of the PS4 is $532. (Answer)

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3 years ago

A central angle in a circle with a radius of 3 cm intercepts an arc with a length of 6 cm what is the measure of the central ang

Fiesta28 [93]

Answer:

$114.59\°$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

In this problem we have

$r=3\ cm$

substitute

$C=2\pi (3)=6 \pi\ cm$

Remember that

$360\°$ subtends the arc length of the complete circle

by proportion

Find the measure of the central angle for an arc length of $6\ cm$

$\frac{360}{6\pi } \frac{degrees}{cm} =\frac{x}{6} \frac{degrees}{cm} \\ \\x=6*360/(6\pi )\\\\ x=114.59\°$

7 0

3 years ago

Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1

Lorico [155]

Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

8 0

3 years ago

Read 2 more answers

Which statements are true about the solid, which has a length of 6 inches, a width of 3 inches, and a height of 2 inches?

bonufazy [111]

The volume would be 36 cubic inches.

7 0

3 years ago