3 years ago

Find the exact value for x leaving your answer as a surd with a rational denominator where appropriate :

Mathematics

1 answer:

lesya [120]3 years ago

3 0

Answer:

x = 10 $\sqrt{3}$

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , then

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{20}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2x = 20 $\sqrt{3}$ ( divide both sides by 2 )

x = 10 $\sqrt{3}$

You might be interested in

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables.

Pepsi [2]

Answer:

$x=20$

$y=10\,\sqrt{3}$

Step-by-step explanation:

In the triangle we have the following trigonometric equations:

$tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}$

and also:

$cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20$

8 0

3 years ago

A group of 48 friends meets for lunch. They greet each other by exchanging fist bumps. How many fist bumps are exchanged if each

Ber [7]

2256 fist bumps. 47 fist bumps x 48 friends is 2256 fist bumps.

8 0

3 years ago

Read 2 more answers

Find the volume of the cone to the nearest cubic unit.

GalinKa [24]

I think itd be D. 151in.3

8 0

3 years ago

Graph the function rule. Tell whether the graph is continuous or discrete. The height h, in inches, of the juice in a 20-oz b

tangare [24]

The x-axis is the amount of juice because it is the independent equation, while the y-axis is the height. The range of the x-axis starts from 0 to the maximum 20 oz. The graph is shown in the attached picture. As shown, the graph is continuous.

3 0

3 years ago

Find the measure of each unknown angle.

tekilochka [14]

Answer:

= 56°

= 34°

Step-by-step explanation:

3x + 5 + 2x = 90°

3x + 2x + 5 = 90°

5x + 5 = 90°

5x = 90 - 5

5x = 85

x = 85/5

x = 17

3x + 5

= 3(17) + 5

= 51 + 5

= 56°

= 2(17)

= 34°

3 0

3 years ago