All categories

1 year ago

Find x. See attached picture.

Mathematics

1 answer:

Serhud [2]1 year ago

3 0

The value of x will be equal to 4√6. The correct option is B.

<h3>What is trigonometry?</h3>

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

The value of side x will be calculated by using the angle properties.

SIn( 45 ) = P / H

Sin (45) = 12 / H

H = 12 / ( 1 / √2) = 12√2

Again using the angle property for finding the value of x.

tan30 = P / B

x = tan30 x B

x = ( 1 / √3 ) x 12√2

x = 4√6

Therefore, the value of x will be equal to 4√6. The correct option is B.

To know more about Trigonometry follow

brainly.com/question/24349828

#SPJ1

You might be interested in

Multiplication mod 29 by 30 is equivalent to standard multiplication by ___

arsen [322]

The awnser will be 870.

4 0

3 years ago

What is x if <br> Show your working<br> 4x+5=5x-1

weeeeeb [17]

Answer:

x=6

Step-by-step explanation:

First, add 1 on both sides

4x + 5 = 5x -1

+1 +1

4x+6 =5x

Then, subtract 4x on both sides

4x+6 =5x

-4x -4x

6=x

So, x equals 6

Hope this helps! :)

4 0

3 years ago

Given points A (-3,-4) and B (2,0), points P (-1,-12/5) partitions line AB in the ratio

kvv77 [185]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&A&(~ -3 &,& -4~) 
&P&(~ -1 &,& -\frac{12}{5}~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AP=\sqrt{[-1-(-3)]^2+[-\frac{12}{5}-(-4)]^2}
\\\\\\
AP=\sqrt{(-1+3)^2+(-\frac{12}{5}+4)^2}\implies AP=\sqrt{2^2+\left( \frac{8}{5} \right)^2}
\\\\\\
AP=\sqrt{4+\frac{64}{25}}\implies AP=\sqrt{\cfrac{164}{25}}\implies AP=\cfrac{\sqrt{164}}{\sqrt{25}}
\\\\\\
\boxed{AP=\cfrac{2\sqrt{41}}{5}}$

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&P&(~ -1 &,& -\frac{12}{5}~) 
&B&(~ 2 &,& 0~)
\end{array}
\\\\\\
PB=\sqrt{[2-(-1)]^2+[0-\left(-\frac{12}{5} \right)]^2}
\\\\\\
PB=\sqrt{(2+1)^2+\left( \frac{12}{5} \right)^2}\implies PB=\sqrt{9+\frac{144}{25}}\implies PB=\sqrt{\cfrac{369}{25}}
\\\\\\
PB=\cfrac{\sqrt{369}}{\sqrt{25}}\implies \boxed{PB=\cfrac{3\sqrt{41}}{5}}$

so, let's check the ratio of AP:PB

$\bf AP:PB\implies \cfrac{AP}{PB}\implies \cfrac{\frac{2\sqrt{41}}{5}}{\frac{3\sqrt{41}}{5}}\implies \cfrac{2\underline{\sqrt{41}}}{\underline{5}}\cdot \cfrac{\underline{5}}{3\underline{\sqrt{41}}}\implies \cfrac{2}{3}$

7 0

3 years ago

If you have 8/12 of pizza, how many thirds do you have?

Deffense [45]

8/12 is equivalent to 2/3.

5 0

3 years ago

Read 2 more answers

A rectangular field has an area of 162 m² the width of this field is 9m what is the perimeter of this field

Andru [333]

Answer:

54 m