Help is this right !! ASAP

Using the figure below, find the value of x. Enter your answer as a simplified radical or improper fraction (if necessary)

julsineya [31]

Answer:

x = 5 $\sqrt{3}$

Step-by-step explanation:

Using the tangent ratio in the outer right triangle

and tan30° = $\frac{1}{\sqrt{3} }$ = $\frac{\sqrt{3} }{3}$

tan30° = $\frac{opposite}{adjacent}$ = $\frac{x}{15}$

Multiply both sides by 15

15 × tan30° = x

x = 15 × $\frac{\sqrt{3} }{3}$ = 5 $\sqrt{3}$

7 0

3 years ago

17. Kayden creates a linear function where x is the input, y, is the output, and

Juli2301 [7.4K]

Answer:

see explanation

Step-by-step explanation:

A linear function has the form

y = mx + b ( m is the slope and b the y- intercept )

B

the graph has a constant rate of change , measured by the slope m of the linear function.

8 0

2 years ago

Find the exact values of cos 3 pi/4 radians sin 3 pi/4 radians.

Liula [17]

If you consult the unit circle, you will see that:

$cos(\frac{3\pi}{4}) = -\frac{\sqrt{2}}{2}\\\\sin(\frac{3\pi}{4}) = \frac{\sqrt{2}}{2}$

3pi/4 in degrees is 3pi/4 * 180/pi = 3/4 * 180 = 135 degrees. And please refer to the attachment to how you can obtain the values above.

Now, lets multiply it together.

$-\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2} =\\\\-\frac{2}{4} =\\\\ \boxed{\bf{-\frac{1}{2}}}$

So, <span>cos(3pi/4)sin(3pi/4) = -1/2</span>

7 0

4 years ago

How many oz of walnuts which cost $6/oz must be added to 2 oz of peanuts which cost $12/oz to make mixed nuts which cost $8/oz

Burka [1]

Answer: 4 oz

<u>Step-by-step explanation:</u>

Create a table. Multiply across and add down (the middle column cannot be added). The Mixture line creates the equation that must be solved.

Let x represent the unknown quantity of walnuts.

$\begin{array}{c|c|c||c}&\underline{Quantity}&\underline{Cost}&\underline{Qty \times Cost}\\Walnuts&x&6&6x\\\underline{Peanuts}&\underline{\qquad 2\qquad}&\underline{\qquad 12\qquad}&\underline{\qquad 24\qquad }\\Mixture&x+2&8&6x+24\end{array}$

$.\qquad \qquad \qquad \qquad (x+2)(8) = 6x+24\\.\qquad \qquad \qquad \qquad 8x + 16 = 6x + 24\longrightarrow \text{distributed}\\.\qquad \qquad \qquad \qquad2x+16=24\qquad \longrightarrow \text{subtracted 6x}\\.\qquad \qquad \qquad \qquad 2x=8\qquad \qquad \ \longrightarrow \text{subtracted 16}\\.\qquad \qquad \qquad \qquad x=4\qquad \qquad \quad \longrightarrow \text{divided by 2}$