3 years ago

Solve for x in the following equation: x/a = y/b

1 answer:

6 0

<span>As you have two fractions, you can cross multiply them. This gives: x/a = y/b to ay = xb. Then divide both sides by b to isolate x: ay/b = x.</span>

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Find the value of y.

olga nikolaevna [1]

Try this option:
1. the sides of the biggest triangle are 16; x and √(16²-x²); the sides of the smallest triange are x;5 and y. The smallest triangle ~ the biggest triangle. Using the property of the similar triangles:
$\frac{x}{5} = \frac{16}{x}, \ then \ x= \sqrt{80}$
2. according to the Pyphagorean theorem (in the smallest triangle):
$y= \sqrt{ \sqrt{80^2} -5^2} = \sqrt{55}$

answer: y=√55.

4 0

3 years ago

What is the area in square units of the rectangle

Vsevolod [243]

$\bf \textit{area of a rectangle}\\\\
A=length\cdot width\qquad \qquad A=\cfrac{3}{7}\cdot \cfrac{2}{9}\implies A=\cfrac{6}{63}\implies A=\cfrac{2}{21}$