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Novosadov [1.4K]
3 years ago
5

The perimeter of a rectangle is 900 yards. what are the dimensions of the rectangle if the length is 70 yards more than the widt

h?
Mathematics
1 answer:
Semenov [28]3 years ago
8 0
First, it would be best to divide each side of the rectangle (4 sides) equally first that is:

900:4= 225

So, now we know each side is 225 Yards first..
Now, since the length is 70 yards longer than the width, we know that:

Length: 225+70= 295

Respectively, we also know that the width is 70 yards shorter since the length is already 70 yards longer:

Width: 225-70=155

Checking answer: (295*2) + (155*2) = 900 Yards

As our final answer, the dimension of the rectangle is 295 yards (Length) by 155 yards (Width)

Hope this help with your studies.

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A car travels along a straight stretch of road. It proceeds for 16.2 mi at 57 mi/h, then 24.6 mi at 44 mi/h, and finally 45.1 mi
LekaFEV [45]

Answer:

The average velocity the entire trip was 43.25 mi/h

Step-by-step explanation:

In this case we have to calculate an average based on the miles traveled. First we have to calculate the total of miles traveled, then calculate the portion of the total travel of each and with this calculate the average speed during the trip. First the total miles traveled:

TotalMiles=16.2+24.6+45.1=85.9

Now the percentages:

At 57 mi/h were \frac{16.2}{85.9}=0.19

At 44 mi/h were \frac{24.6}{85.9}=0.29

At 37.8 mi/h were \frac{45.1}{85.9}=0.52

Now multiplying the speed by the portion and summing them we can have the average velocity:

57*0.19+44*0.29+37.8*0.52=43.25

The average velocity the entire trip was 43.25 mi/h

5 0
3 years ago
Solve for x. 8 x = 32
Kryger [21]

Answer:

x = 4

Step-by-step explanation:

8x = 32

/8

x = 4

6 0
3 years ago
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How do I answer this question?
ankoles [38]
It's 78.38
You have to square root
8 0
3 years ago
Sarah already had 45 stamps in her collection and she gets 7 new stamps each month how long will it take before she has 129 stam
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The answer is:  " 12 months " .
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Explanation:
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(129 − 45) / 7 = 84 / 7 = 12 mos.
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3 years ago
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I wish to have $10,000 at the end of 8 yers in a bank offering a simple interest rate of 7.5% per year. How much should I deposi
kolezko [41]

Answer:

You have to invest  $6,250

Step-by-step explanation:

very simple applying the simple interest formula which is

A = P (1 + rt)

Given data

A, final amount =  $10,000

P, initial principal balance=  ?

r, annual interest rate = 7.5%

t, time (in years)= 8 years

we can substitute our given data to find the principal needed.

10000= P(1+0.075*8)\\\10000= P(1.6)\\\

Divide both sides by 1.6 we have

P= \frac{10000}{1.6} \\\P= 6250

P= $6,250

3 0
3 years ago
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