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8090 [49]
3 years ago
15

In the given figure , if PQ ll SR and QP  l  PS , then the value of a and b respectively will be 

Mathematics
1 answer:
lesya692 [45]3 years ago
3 0
b=90-37=53\\
a=180-90-53=37

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Hello everyone, could you please solve this problem step by step. I don't have the exact solution and there are no options for i
lara31 [8.8K]

Answer:

<em>The area of the shaded part  = 61.46</em>

<em />

Step-by-step explanation:

Assume the hypotenuse of the triangle is c (c>0)

As the triangle inscribed in the semi circle is the right angle triangle, its hypotenuse is equal to the diameter of the circle.

The hypotenuse of the triangle can be calculated by Pythagoras theorem as following: c^{2} =a^{2} +b^{2} =(2\sqrt{5}) ^{2} + (4\sqrt{5}) ^{2} = 20 + 80 = 100

=> c = 10

So that the semi circle has the diameter = 10 => its radius = 5

  • The total area of 2 semi circles is equal to the area of the circle with radius =5

    => The total area of 2 semi circles is: \pi x 5^{2} = 25\pi

  • The area of a triangle inscribed in the semi circle is: 1/2 x a x b = 1/2 x 2\sqrt{5\\ x 4\sqrt{5} = 20

    => The area of 2 triangles inscribed in 2 semi circles is: 2 x 20 = 40

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It can be seen that:

<em>The area of the shaded part = The area of the square - The total area of 2 semi circles + The total are of 2 triangles inscribed in semi circles </em>

<em>= 100 -  25</em>\pi<em> + 40 = 61.46</em>

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Answer:

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Step-by-step explanation:

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Answer:

First of all this question makes no complate sense if this was in real life. But the answer is: Allen is 23 years old and Jim woukd be 12 1/2 years old.

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Because 20+3=23. That's because it said in 3 years. Tthen we divide by 2 to find Jim's age. That's because it said that in three years, Allen would be twice as old as Jim.

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Answer:

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Answer:

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