2 years ago

Complete the simplification of the expression below please help giving brainliest!!

Mathematics

1 answer:

Vlada [557]2 years ago

7 0

Answer:

Step-by-step explanation:

$\frac{16ax^{2}+5ba^{3}-28b^{3}}{12\left(ab\right)^{2}} \\$

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ANSWER

$y = 7 \sqrt{2}$

$x = 7$

EXPLANATION

The given triangle has a right angle.

The side opposite to the 45° angle is 7 units.

To find angle x, we use the tangent ratio.

Recall the mnemonics TOA, which means,

$\tan(45 \degree) = \frac{opposite}{adjacent}$

$\tan(45 \degree) = \frac{7}{x}$

$1 = \frac{7}{x}$

$x = 7$

To find y, we use the sine ratio, which means

$\sin(45 \degree) = \frac{opposite}{hypotenuse}$

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$y= \frac{7}{\sin(45 \degree) }$

$y= \frac{7}{ \frac{1}{ \sqrt{2} } }$

$y = 7 \times \frac{ \sqrt{2} }{1}$

$y = 7 \sqrt{2}$

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