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maw [93]
3 years ago
10

A unicycle wheel has a diameter of 30 inches. How many inches will the unicycle travel in 5 revolutions? Use π = 3.14 and round

your answer to the nearest hundredth of an inch.
Mathematics
1 answer:
miv72 [106K]3 years ago
3 0

Answer:

471.3inches

Step-by-step explanation:

Given data

Diameter= 30in

Radius= D/2= 30/2= 15in

The circumference is the same as the distance covered in one revolution

C= 2πr

Hence the distance  covered in 5 revolutions is

C= 2*5*πr

Substitute

C=10*3.142*15

C= 471.3inches

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10. A road roller takes 750 revolutions to move once to
GarryVolchara [31]

Answer:

Step-by-step explanation:

Use consistent units. The length of the roller is 2.8 m. The diameter is 168 cm = 1.68 m

Circumference of roller = 1.68π m

Contact area of roller = 1.68π × 2.8 = 4.704π m²

Each rotation levels 4.704π m² of the playground.

Area of playground = 750 rotations × (4.704π m²)/rotation

= 3528π m²

≈ 11,084 m²

7 0
3 years ago
Thad attempted 25 free throws and made 17 of them while Amy attempted 30 and made 20. Who shot the higher percentage?
ahrayia [7]

Answer: Thad-1.471

Amy-1.500

SO AMY SHOT WITH A HIGHER PERCENTAGE

Step-by-step explanation: brainliest would be appreciated

3 0
2 years ago
The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 i
stich3 [128]

Complete question :

The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 inches. Round answers to the nearest tenth of a percent. a) What percentage of years will have an annual rainfall of less than 43 inches? b) What percentage of years will have an annual rainfall of more than 39 inches? c) What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

Answer:

0.61053

0.66314

0.26647

Step-by-step explanation:

Given that :

Mean (m) = 41.4 inches

Standard deviation (s) = 5.7 inches

a) What percentage of years will have an annual rainfall of less than 43 inches?

P(x < 43)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (43 - 41.4) / 5.7 = 0.2807017

p(Z < 0.2807) = 0.61053 ( Z probability calculator)

b) What percentage of years will have an annual rainfall of more than 39 inches? c)

P(x > 39)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (39 - 41.4) / 5.7 = −0.421052

p(Z > −0.421052) = 0.66314 ( Z probability calculator)

What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

P(x < 38)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (38 - 41.4) / 5.7 = −0.596491

p(Z < −0.596491) = 0.27545 ( Z probability calculator)

P(x < 42)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (42 - 41.4) / 5.7 = 0.1052631

p(Z < 0.1052631) = 0.54192 ( Z probability calculator)

0.54192 - 0.27545 = 0.26647

6 0
3 years ago
A factory used 3/4 of a barrel of almonds to make 3 batches of granola bars. How many barrels of almonds did the factory put in
Lelu [443]

Answer:

1/4 barrels of almonds

Step-by-step explanation:

(3/4)/3=(3/4)(1/3)=3/12=1/4

3 0
3 years ago
Ashley spent 3x + 2hours on her science project and Adam spent 4x - 6 hours on his science project. If they spent a total of 31
miv72 [106K]

Answer:

x = 5

Step-by-step explanation:

Ashley and Adam spent a total of 31 hours on their projects so: 3x+2+4x-6 = 31

3x+2+4x-6 = 31

7x-4 = 31

7x = 35

x = 5

6 0
2 years ago
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