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Mathematics

1 answer:

Nataly_w [17]3 years ago

8 0

<span>The side of one square is 2 cm longer than the side of a second square.
If the combined area of the squares is 100 square cm, find the dimensions
of each square.
:
The area of the two squares
x^2 + (x+2)^2 = 100
x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x + 4 - 100 = 0
2x^2 + 4x - 96 = 0
Simplify, divide by 2

x^2 + 2x - 48 = 0
Factors to
(x+8)(x-6) = 0
the positive solution
x = 6
:
6 by 6 the small square
8 by 8 the large square
;
:
Check: 36 + 64 = 100 Does this make sense to you?</span>

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<u>Step-by-step explanation:</u>

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According to question , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long . Let the angle made between Tony height and his shadow be x . Now , At the same time, the shadow of a nearby tree was 32 feet long. Since the tree is nearby so tree will subtend equal angle of x. Let height of tree be y , So

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