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yulyashka [42]
3 years ago
5

2. A piece of string 42 centimeters long is cut into 2 unequal pieces. The longer

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0

Answer: 28 cm

Step-by-step explanation:

x - the length of the shorter piece

2x - the length of the longer piece

Together they are 42 cm long.

Compose te equation:

2x + x = 42

3x = 42

x = 14 cm

The shorter piece is 14 cm, the longer piece is twice longer, 2x, or 2( 14 ).

Two times longer than 14 is 28. The longer piece is 28 cm.

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The outside of a picture frame measures 14 in and 20 in 196in^2 of the picture shows find the thickness of the frame
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The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width. 
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We are given that the area is only equal to 192 in². We subtract this value from the computed area.
         Difference = 280 in² - 192 in²
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This area is equal to the area of the hollow space inside the frame. That is equal to,
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The area,
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Simplify the right hand side of the equation.
             88 = 280 - 68x + 4x²

Divide the equation by 4,
            22 = 70 - 17x + x²

Transposing,
                x² - 17x - 48 = 0
The factors of the equation is 58.2. 

Thus, the thickenss is equal to 58.2 in
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