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ad-work [718]
4 years ago
13

The improper fraction 37/6 can be changed to the mixed number​

Mathematics
1 answer:
Lana71 [14]4 years ago
5 0

Answer: 6 1/6

Step-by-step explanation:

6 can go into 37 6 times

6x6=36

with 1 left over

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Find the measure of the central angle with an arc length equaling 29.21 and a circumference = 40.44
Dima020 [189]

measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

s=r\theta

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43

So, radius = 6.34

Now, finding central angle:

s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Keywords: Central angle of circle

Learn more about Central angle of circle at:

  • brainly.com/question/8618791
  • brainly.com/question/2115496
  • brainly.com/question/10610299

#learnwithBrainly

5 0
3 years ago
Julie is a cashier. She can ring up 12 customers in 9 mintesutes. At the rate, how many minutes does it take for her to ring up
oksano4ka [1.4K]

Answer:

5.2

Step-by-step explanation:

ok so we need to find the unit rate( how many customers per minute) and thats 12 divided by 9 which is 1.3 minutes per customer so now we need to find what 1.3 minutes is x4 customers. This brings us to 5.2.

6 0
2 years ago
Ray PT is the angle bisector of angle RPS. Find the measure of angle RPS.
nikdorinn [45]

Answer:

m∠RPS = 38°.

Step-by-step explanation:

It is given that ray PT is the angle bisector of angle RPS. It means PT divides the angle RPS in two equal parts.

m\angle RPT=m\angle TPS=19^{\circ}

Now, it is clear that

m\angle RPS=m\angle RPT+m\angle TPS

m\angle RPS=19^{\circ}+19^{\circ}

m\angle RPS=38^{\circ}

Therefore, the measure of angle RPS is 38°.

3 0
3 years ago
Starting from 100 feet away, your friend skates toward you and then passes by you. She skates at a constant speed of 20 ft/sec.
amm1812

Your friend's distance from her starting point to your position is decreasing until she passes by you.  This distance is D(t) = 100 ft - (20 ft / sec)t.  We'll assume that your friend doesn't actually pass by you; she just gets closer and closer, from her initial 100 ft distance from you.  Then:

D(t) = 40 ft = 100 ft - (20 ft / sec)t.  Simplifying, we get:

-60 ft = -(20 ft / sec)t, and thus t = 3 sec.

6 0
3 years ago
Read 2 more answers
tom has £55,000 in 2016 he plans on putting £8,200 in a bank each year how much will be in the bank by 2031
mr_godi [17]

Answer:

123000

Step-by-step explanation: 8,200 x 15 =123000

7 0
4 years ago
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