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2 years ago

The perimeter of a pool table is 30 feet. The table is twice as long as it is wide. What is the length of the pool table?

Mathematics

1 answer:

olga55 [171]2 years ago

8 0

So, 30 is the perimeter. We are told the table is twice as long as it is wide.

So, we have think of 2 numbers, one being twice as big than the other. So, it is a rectangle The two number represents the length and the width. To find the perimeter we add all the lengths and the widths. Since the pool table is a rectangle we have two lengths and two widths.

So,

the tow numbers be 10 and 5. 5 is half of 10 and, when multiplied by 2 it is 10. So just to make sure the numbers 5 and 10 work out lets do a calculation.

So,

10+5+10+5 = 30feet. This proves that the sides are these two numbers.

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Calculate the radius of the circular rug. Use 3.14 for π. area of rug: 153.86 feet

irakobra [83]

Answer:

7 ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

153.86 = 3.14 r^2

Divide each side by 3.14

153.86 / 3.14 = r^2

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

5 0

2 years ago

Read 2 more answers

There are 13 people on the city bus. At the first stop, four people get off and to get on. At the Second stop, six people get of

antiseptic1488 [7]

Answer:

9 people should get on stop 1.

Step-by-step explanation:

If i understood it correctly .

13 people on bus initially.

at first stop - 4 people get off . So 9 people should be on bus.

But few get in bus ( that is what is asked in the question - but it is not super clear to me)

after 2nd stop - there are 12 people on bus.

at 2nd stop 6 people got off.. so there were total of 18 on the bus

So if there were 9 people on bus stop by stop 1 .. so 9 people should have got in bus at stop 1 to make it equal to 18.

Only doubt i have is : if the question is asking how many got on the 2nd stop. also i was not clear what does this line means - At the first stop, four people get off and to get on.

6 0

2 years ago

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A country is planning to decrease government spending in order to reduce the national debt. If the outlined changes are put into

SOVA2 [1]

Answer

Graph D represents the national debt of the country over the next years.

Solution-

The country's debt will decrease exponentially by one-third each year.

Current debt is $60 billion.

This problem can be treated as an exponential decay problem.

The general exponential decay function is,

$y=a(r)^{-x}$

Where,

a = initial value,

r = rate of change,

-ve sign of x represents the decrease in value of y as x increases.

Here, the rate of change is 3 as each year the debt becomes on third, and initial value of debt is $60, so

$y=60(3)^{-x}$

Plotting a graph taking number of year on x-axis and debt on y-axis, we can generate a graph for this function.

Putting different values of x, we can get the values of y. So the graph must have (0, 60), (1, 20), (2, 6.66), (3, 2.22), (4, 0.74), (5, 0.24) points on it.

Option B and C are incorrect, as they do not start from 60. (they don't have (0,60) on their curve)

Between option A and D, curve in D has all the points on it. So D is the correct graph.