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Harrizon [31]
2 years ago
14

An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object i

s 90pi inches per minute, what is the diameter, in inches, of the circular path?
Mathematics
1 answer:
natima [27]2 years ago
4 0

Answer:

Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.

Step-by-step explanation:

Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:

πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.

But, it is given that the circular speed of the object is 90π inches per minute. So,

90π = 15πr

r = 6 inches

Since, diameter is the double of radius, d = 2r = 12 inches.

For more explanation, refer the following link:

brainly.com/question/17978382

#SPJ10

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On a journey of 600 km, a train was delayed 1 hour and 30 min after having covered 1/4 of the way. To arrive on time at the dest
Sati [7]

Answer:

10 hours

Step-by-step explanation:

(150/x) + 1.5 + (450/(x+15)) = 600/x

Multiply through by x(x + 15):

150(x + 15) + 1.5x(x + 15) + 450x = 600(x + 15)

150x + 2250 + 1.5x^2 + 22.5x + 450x = 600x + 9000

150x + 2250 + 1.5x^2 + 22.5x + 450x - 600x - 9000 = 0

1.5x^2 + 22.5x - 6750 = 0

x = (-22.5 +/- sqrt(22.5^2 - 4(1.5)(-6750))) / (2*1.5)

x = (-22.5 +/- sqrt(506.25 + 40500)) / 3

x = (-22.5 +/- sqrt(41006.25)) / 3

x = (-22.5 +/- 202.5) / 3

x = 180/3 or -225/3

x = 60 or -75

But a negative number doesn't make sense, so therefore x = 60, so the journey took 600/60 = 10  hours.

6 0
3 years ago
How much money will she have if she doesn't buy any packs of baseball cards? $16 $18 $19 $20
GrogVix [38]

The amount of money that Carly would have left if she doesn't buy any packs of baseball cards is $20.

<h3>How to calculate the amount of money?</h3>

In order to calculate the amount of money that Carly would have left if she doesn't buy any packs of baseball cards, we would determine the cost of each baseball card as follows:

  • Let the cost of each baseball card be x.
  • Let the number of cards bought be n.

Translating the word problem into an algebraic expression, we have;

x - n = 16

x - 2n = 12

Solving the simultaneous equations by elimination, we have:

n = 4

Therefore, Carly's minimum balance is given by:

x - n = 16

x = 16 + n

x = 16 + 4

x = $20.

Read more on word problems here: brainly.com/question/13170908

#SPJ1

<u>Complete Question:</u>

The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards. How much money will she have if she doesn't buy any packs of baseball cards?

5 0
2 years ago
4,890 + 7,801 what is the anwser
Crank
12691 <<< is the answer
5 0
3 years ago
Read 2 more answers
X(x-3)=0 find all solutions what does x=?
LenaWriter [7]
Answer: x={0,3}

x(x-3)=0
x=0, x-3=0
x=0, x=3
x={0,3}
3 0
2 years ago
OKEASE HELP HELP HELP
Nuetrik [128]

Answer:

C

Step-by-step explanation:

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