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Nina [5.8K]
2 years ago
12

The Price of a machine depreciates at the rate of ₹1500 per year. If it was bought for ₹15,800, what will be its price after 5 y

ears?
Mathematics
1 answer:
saul85 [17]2 years ago
8 0

Answer:

5th year= 9800

Step-by-step explanation:

1st year=15800

2nd=14300

3rd=12800

4th=11300

5th=9800

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If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

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In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

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