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xenn [34]
3 years ago
8

The area of a rectangle is 1176 square meters. The width of the rectangle is 21 meters. What i the length of the rectangle?

Mathematics
2 answers:
____ [38]3 years ago
6 0
The length is 56 meters
ladessa [460]3 years ago
3 0

I had the same question on my homework. The answer is 56 meters

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A small radio transmitter broadcasts in a 53 mile radius. If you drive along a straight line from a city 70 miles north of the t
son4ous [18]

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)  

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

4 0
4 years ago
Edgar accumulated $5,000 in credit card debt. If the interest rate is 10% per year and he does not make any payments for 3 years
Mandarinka [93]

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Answer:

  $6749.29

Step-by-step explanation:

The balance is given by ...

  A = Pe^(rt)

  A = $5000·e^(0.10·3) ≈ $6749.29

Edgar will owe $6749.29.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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6 0
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