Mathematics: The triangle below is equilateral. Find the length of side 2 in simplest radical form with a rational denominator. x Submit Answer 2 attempt 1 out of 2 PLS HELP

The triangle below is equilateral. Find the length

herchellann302

19.08.2021

$x=\frac{4\sqrt{3}}{3}$

Step-by-step explanation:

From the figure attached,

ΔABC is an equilateral triangle.

Therefore, by the property of the equilateral triangle,

Measure of each angle = 60°

By applying tangent rule in the right triangle ADC,

$\text{tan}(60^{\circ})=\frac{\text{Opposite side}}{\text{Adjacent side}}$

$\sqrt{3}=\frac{4}{x}$

$x=\frac{4}{\sqrt{3}}$

$x=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3} }$

$x=\frac{4\sqrt{3}}{3}$

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dncs9157

04.12.2022

440

Step-by-step explanation:

Current population =400

0.02 increase= 2% increase

2% increase per year= 2/100 ×400 = 8

For 5 years, 8× 5= 40 additional students

Population in 5years will be current population + expected population = 400+ 40= 440

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