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ollegr [7]
3 years ago
11

A circular garden has a circumference of 63 yards. Lars is digging a straight line along a diameter of the garden at a rate of 5

yards per hour. How many hours will it take him to dig across the garden? Use 3.14 for π and round the diameter to the nearest whole number, if necessary.
Mathematics
1 answer:
Harrizon [31]3 years ago
6 0

Answer:

4 hours

Step-by-step explanation:

If the circumference of the circular garden =63 yards

Circumference of a Circle =2πr=πd (d=diameter)

Therefore:

πd= 63

diameter of the circular garden =63/3.14=20 yards

If he digs at a rate of 5 yards per hour, the time required to dig across the garden will be:

20 yards/5 yard per hours = 4 hours

It will take him 4 hours to dig across the circular garden.

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Please show full solutions! Will mark brainliest for the best answers! Thanks. Question is attached.
Rzqust [24]

9514 1404 393

Answer:

  a square 175 m on a side

Step-by-step explanation:

Let x and y represent the sides of the rectangle. Then the perimeter is ...

  P = 2(x + y) = 700

  x + y = 350 . . . . . . . divide by 2

  y = 350 -x . . . . . . . . subtract x

The area of the fenced field is ...

  A = xy

  A = x(350 -x)

This is a quadratic function that has zeros at x = 0 and x = 350. The axis of symmetry is x = (0 +350)/2 = 175. The vertex (maximum area) is on the axis of symmetry, so corresponds to x = 175. The y-value there is ...

  y = 350 -x = 350 -175 = 175

That is, the maximum area will be obtained when the fenced area is a square. Each side of the square is 175 m, which is 1/4 of the total length of the fence.

The dimensions of the space are 175 m by 175 m.

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3 years ago
The reciprocal of 2 1/7 is what ?
Phantasy [73]

Answer:

7/15

Step-by-step explanation:

2 1/7 is mixed fraction, if you turn it into a improper fraction, you will get 15/7. Just flip those two numbers, and you get the answer

5 0
3 years ago
Read 2 more answers
In order to make a profit, a retailer sells dresses at 130% of the price she paid for them. A dress in the shop priced at $78.95
Stels [109]

Answer:

$102.635

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 78.95 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 78.95 is 100%, we can write it down as 78.95=100%.

4. We know, that x is 130% of the output value, so we can write it down as x=130%.

5. Now we have two simple equations:

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where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

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6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 130% of 78.95

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3 years ago
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makkiz [27]

Answer:

6(5+y) or (30+y)

Step-by-step explanation:

You can just switch around the variables and numbers but keep the equation the same or simplify

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3 years ago
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A submarine is 730 m below sea level. An airplane that is directly over the submarine is 9,144 m above sea level. What is the ve
Rina8888 [55]
Submarine: -730
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|d|: absolute value
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