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expeople1 [14]
3 years ago
5

The perimeter of a quarter circle is 14.28 KM. What is the quarter circle's radius?

Mathematics
1 answer:
lawyer [7]3 years ago
3 0
Circumference= 2πr
Circumference= perimeter

14.28km= 2(3.14)r
14.28= 6.2831853072r
divide both sides by 6.2831853072
2.27= r

ANSWER: The radius is 2.27km

Hope this helps! :)
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Find the length of the third side to the nearest tenth
Aliun [14]

Answer:

9.2

Step-by-step explanation:

to find the third side you need to use the Pythagorean Theorem, which is a²+b²=c². In this case, 6²+7²=c², or 36+49=c². c²=85, so do the square root of 85 to get the length of c, which is 9.2.

7 0
3 years ago
16. Albert was asked to find the quotient
V125BC [204]

Answer:

21

Step-by-step explanation:

63/3

21

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5 0
2 years ago
Sarah wants to arrive at her friends wedding at 3:00 pm. The distance from Sarah’s house to the wedding is 85 miles. Based on us
Mrrafil [7]

Answer:

(A) 15 minutes

(B) 10 minutes

(C) 1 hour

(D) 1:35 pm

Step-by-step explanation:

<em>Question:</em>

Sarah wants to arrive at her friend’s wedding at 3:00 PM. The distance from Sarah’s house to the wedding is 85 miles. Based on usual traffic patterns, Sarah predicts she can drive the first 15 miles at 60 miles per hour, the next 5 miles at 30 miles per hour, and the remainder of the drive at 65 miles per hour.

(A) how many minutes will it take Sarah to drive the first 15 miles?

(B) how many minutes will it take Sarah to drive 5 miles?

(C) how many hours will it take Sarah to drive the rest of the trip?

(D) what time should Sarah leave her house? (Give your answer using standard hour:minute clock format.)

<em>Solution:</em>

Total distance = 85 miles

There are three segments of this trip, each one with its own speed.

<em>1) 15 miles at 60 mph</em>

<em>2) 5 miles at 30 mph</em>

Up to here, the distance is 15 miles + 5 miles = 20 miles.

The total distance is 85 miles, so the last segment of the trip is 85 miles - 20 miles = 65 miles.

<em>3) 65 miles at 65 mph</em>

The equation for speed is:

speed = distance/time

Now we solve it for time:

speed * time = distance

time = distance/speed

To find a time, divide the distance by the speed.

Part (A)

distance = 15 miles; speed = 60 mph; find time

time = distance/speed = 15 miles/60 mph = 0.25 hours

Since 1 hour = 60 minutes,

time = 0.25 hours * 60 minutes/hour = 15 minutes

Part (B)

distance = 5 miles; speed = 30 mph; find time

time = distance/speed = 5 miles/30 mph = 1/6 hour

Since 1 hour = 60 minutes,

times = 1/6 hour * 60 minutes/hour = 10 minutes

Part (C)

distance = 65 miles; speed = 65 mph; find time

time = distance/speed = 65 miles/65 mph = 1 hour

Part (D)

The driving times for the three segments are 15 minutes, 10 minutes, and 1 hour. The total driving time is

15 minutes + 10 minutes + 1 hour = 1 hour and 25 minutes

Now we subtract 1 hour 25 minutes from 3:00 pm.

3:00 pm is the same as 2:60 pm

2:60 pm - 1:25 = 1:35 pm

She needs to leave at 1:35 pm

5 0
2 years ago
15 POINTS ANSWER ASAP
saw5 [17]
(a) q=0
You would simplify the equation.
3+9=12
12+q=12
Then you would eliminate 12 from both sides, by subtracting.
q=0
7 0
3 years ago
Write the fraction 46/90 in its simplest form
katovenus [111]
Simplest form is 23/45
6 0
3 years ago
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