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bearhunter [10]
2 years ago
8

a round swimming pool has a circumference of 66 feet. Carlos wants to buy a rope to put across the diameter of the pool. the rop

e costs $0.45 per foot, and Carlos needs 4 more than the diameter of the pool. How much will Carlos pay for the rope and what is the diameter? (please show work on paper)
Mathematics
1 answer:
xxMikexx [17]2 years ago
3 0

Answer:

  • $11.25
  • 21 ft

Step-by-step explanation:

The formula for the circumference of a circle in terms of diameter is ...

  C = πd

Then the diameter is ...

  d = C/π

If we use π ≈ 22/7 and C = 66 ft, then we find the diameter to be ...

  d = (66 ft)/(22/7) = (66 ft)(7/22) = 21 ft

The diameter of the pool is about 21 feet.

__

Since Carlos needs 4 more feet of rope, he will want to buy 25 feet of rope for a cost of ...

  (25 ft)($0.45 /ft) = $11.25

Carlos will pay $11.25 for the rope.

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What is 7 - (-4) ? I got -24
koban [17]

Answer:

11

Step-by-step explanation:

7-(-4) is 11. You must make the subtraction symbol in the middle to addition, since you have 2 negatives. Two negatives = postive. So after you do that it would be 7+4=11

Hope this helped!

6 0
3 years ago
10^8/10^4 Simplify the expression. Write your answer as a power.
Andru [333]
<h3>Answer:   10^4</h3>

This is an exponential expression with 10 as the base and 4 as the exponent.

=============================================

Explanation:

We're dividing 10^8 over 10^4. When dividing like this, we subtract the exponents (numerator minus denominator). The bases must be the same value and they stay at the same value for the final answer as well.

The new exponent is 8-4 = 4 which is how we arrive at the answer 10^4.

Side note: 10^4 = 10,000 = ten thousand

7 0
3 years ago
Find the midpoint of the line segment with end coordinates of:
Arisa [49]

Answer:

The midpoint of this line segment is (-1.5, -4.5).

Step-by-step explanation:

In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:

                                             -2 -1

x-coordinate of midpoint = --------- = -3/2 = -1.5

                                                 2

                                              -4 -5

y-coordinate of midpoint = ---------- = -4.5

                                                   2

The midpoint of this line segment is (-1.5, -4.5).

5 0
2 years ago
Write the absolute value inequality in the form |x-b| c that has the solution set x&lt;-5 or x&gt;7.
Daniel [21]
Answer:
|x - 1| > 6
Step-by-step explanation:
b is the centre:
(-5 + 7)/2
2/2 = 1
b = 1
c is the distance from the centre
c = 7 - 1 = 6
Since it's an or case, > with the modulus
|x - 1| > 6
4 0
2 years ago
Zack delivers mail for the post office. Every day he walks a 7-mile route. How many miles does Zack walk in one month if he work
GalinKa [24]
If Zack walks a 7-mile route every day, and he goes on for 22 days, the answer is 154, because you are multiplying 7 by 22 (7 x  22 = 154).
7 0
3 years ago
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