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3 years ago

Help find the answer to what B is.

Mathematics

1 answer:

satela [25.4K]3 years ago

7 0

Assuming that this is a right triangle, then (50 in)^2 = b^2 + (14 in)^2, according to the Pythagorean Theorem.

Then 196 in^2 + b^2 = 2500 in^2. Solving for b^2:

b^2 = (2500-196) in^2, and so b = +48 inches (answer)

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<img src="https://tex.z-dn.net/?f=%5Csf%207-5x%3D-43" id="TexFormula1" title="\sf 7-5x=-43" alt="\sf 7-5x=-43" align="absmiddle"

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$\sf\longmapsto \: x = 10$

Step-by-step explanation:

Subtract 7 from both sides:

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$\sf\longmapsto \: \frac{ - 5x}{ - 5} = \frac{ - 50}{5}$

$\sf\longmapsto \: x = 10$

$\boxed{\sf Answered \: By\: Subhash}$

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The length of a rectangle is 3 m less than twice the width if the area of the rectangle is 66 5 m² find the dimensions

goblinko [34]

Let the width be x.

Then,Length = ( 2x - 3 ) m

<u>According to the question, </u>

Area of rectangle = 665 m² [ Given ]

Formula: Area of rectangle = Length × Width

$\sf \implies \: length \: \times breadth = 665 \: m {}^{2}$

$\sf\implies \: (2x - 3) \times x = 665$

$\sf \implies \: 2 {x}^{2} - 3x = 665$

$\sf \implies \: {2x}^{2} - 3x - 665 = 0$

<u>By split middle term </u>

$\sf \implies \: 2 {x}^{2} - 38x + 35x - 665 = 0$

$\sf\implies \: 2x(x - 19) + 35(x - 19) = 0$

$\sf \implies \: (2x + 35) = 0 \: or \: (x - 19) = 0$

$\sf \implies \: x = \dfrac{ - 35}{2} \: or \: \: x = 19 \:$

Note: Ignore negative number.

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Width of a rectangle = 19 m

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Answer:

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