PLS HELPPPPPP solve for x and y
1 answer:
We have similar triangles, so equal ratios
5:7:8 = 5+x : 7 + y : 10
Equal ratios mean the corresponding pairs are related by constant factor f,
So f= 10/8 = 5/4 and
5f = 5+x
x = 5(5/4) - 5 = 25/4 - 20/4= 5/4
7f = 7 + y
y = 7f - 7 = 7(f - 1) = 7(5/4 - 1) = 7/4
Answer: x=5/4, y=7/4
Check:
5/4 + 5 : 7/4 + 7 : 10 = 5+20 : 7+28 : 40 = 25:35:40 =5:7:8 good
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<h3>Therefore the area of remaining board =13.76 square feet</h3>
Step-by-step explanation:
Given , The length of side of the square is 8 feet.
Since a circle is inscribed in the square. Then the diameter of the circle is equal to the length of side of the square .
Therefore the diameter of the circle is = 8 feet.
Radius of the circle is(r) = feet = 4 feet
The area of the circle is= 3.14 r²
= 3.14 × 4² square feet
= 50.24 square feet
The area of the square is = side × side
= 8×6 square feet
=64 square feet
Therefore the area of remaining board = (64- 50.24)square feet
=13.76 square feet