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Mademuasel [1]
1 year ago
5

Billy goes on the teacup ride at the local carnival. He is seated 16 inches from the center of his teacup, which is spinning at

a rate of 4 revolutions per minute. What is Billy’s angular velocity, in radians per second? Round your answer to the nearest hundredth
Mathematics
2 answers:
kifflom [539]1 year ago
8 0

Answer:

answer is 0.42 on edge

Step-by-step explanation:

Orlov [11]1 year ago
5 0

Answer:

Billy’s angular velocity, is 1508.16 radians per second

Step-by-step explanation:

We have to find angular velocity in radians per second

we have given angular velocity w = 4 revolutions per minute

we have to convert revolutions into radians and minutes into seconds.

so, we use the following conversion:

1 rev = 2* pi radians (where pi = 22/7 or 3.142)

1 min = 60 sec

putting the values in our equation : w = 4 revolutions per minute

=> w= 4 * ( 2* 3.142) *60

=> w= 1508.16 radians per second

hence Billy’s angular velocity, is 1508.16 radians per second

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Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches
nevsk [136]

Answer: There are 6 sections of  8\frac{1}{4}\ inches  of rope Mario can cut from the rope .

Step-by-step explanation:

Since we have given that

Length of the rope for the tent = 7 feet

As we know that

1\ feet=12\ inches\\\\7\ feet=12\times 7=84\ inches

Length of rope is used to tie a tarp on top of the tent = 34.5 inches

Remaining length of rope is given by

84-34.5=49.5\ inches

According to question, the remaining rope should be cut into

8\frac{1}{4}\ inches\\\\=\frac{33}{4}\ inches

So, Number of  8\frac{1}{4}\ inches sections of rope Mario can cut from the rope is given by

\frac{49.5}{8\frac{1}{4}}\\\\=\frac{49.5}{\frac{33}{4}}\\\\=\frac{49.5\times 4}{33}\\\\=6

Hence, there are 6 sections of 8\frac{1}{4}\ inches rope Mario can cut from the rope .

5 0
1 year ago
Read 2 more answers
A student received an 82% on an exam. If there were 50 questions on the exam, which ratio would show the number of questions ans
solmaris [256]
Hello!

To solve this we have to find what 82% of 50 is

So we do 50 * 0.82 where 0.82 is 82% as a decimal.

This gives us 41

So the answer is D

Hope this helps!
8 0
1 year ago
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An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.
weeeeeb [17]

Answer:

20,475\ ways

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

C(n,r)=\frac{n!}{r!(n-r)!}

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

n=28\\r=4

substitute

C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}

simplify

C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}

C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}

C(28,4)=20,475\ ways

6 0
1 year ago
Melissa bought 18 cupcakes and 2 gallons of fruit punch for her Valentine party. If the cupcakes cost $.33 each and the punch co
ExtremeBDS [4]
The cost of the punch is literally the cost of one gallon 2.78 times 2 for 2 gallons. Which would equal 5.56
5 0
1 year ago
There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp
myrzilka [38]
Part A: f(x)=(5)x+20(alligators) and f(x)=(10)x+25(crocodiles)

Part B: f(x)=(5)(4)+20(alligators) and f(x)=(10)(4)+25(crocodiles)
Alligators: 40 and Crocodiles: 65

Part C: None because the rate of the alligators won't catch up with the rate of crocodiles.
7 0
1 year ago
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