All categories

2 years ago

How do I find x on the attached right triangle ?

Mathematics

1 answer:

ioda2 years ago

4 0

The value of x from the given triangle is 32√3/3

<h3>SOH CAH TOA identity</h3>

In order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.

sin 60 = 8√2/H

H = 8√2/sin60

H = 8√2 * 2/√3

H = 16√2/√3
H = 16√6/3

For the value of x, we will use the expression

sin45 = (16√6/3)/x

1/√2 = 16√6/3x
3x = 16√12
3x = 32√3

x = 32√3/3

Hence the value of x from the given triangle is 32√3/3

Learn more on SOH CAH TOA here: brainly.com/question/20734777

#SPJ1

You might be interested in

On a blueprint the length of a wall is 5 centimeters. If the actual length of the wall is 15 feet, what is scale of the blueprin

Ludmilka [50]

Answer:

The wall is 90 meters wide.

Step-by-step explanation:

1. set up and solve a proportion to find the value of w like this:

1cm=6cm

15m=wm

2. cancel out the like units on both sides of the equation

1=6

15=w

3. Equate the cross products, and then solve for w:

1*w=15*6

w=90 The actual width of the wall is 90 meters.

5 0

3 years ago

The linear equation y = 32x + 240 models the relationship between the value of an investment stock, y, and the number of years i

goldfiish [28.3K]

I think answer should be d. Please give me brainlest let me know if it’s correct or not okay thanks bye

8 0

3 years ago

Find the distance between the points (2, 4) and (8,-8) on a coordinate plane, to the nearest whole number.

Alisiya [41]

Answer:

2,5

Step-by-step explanation:

2 to the right and 5 up

8 0

3 years ago

Please help!

seropon [69]

Answer:

0.246¯¯¯¯ written as a fraction in simplest form?

the answer is 1000÷246

8 0

4 years ago

A group of friends went to the movies. Movie tickets cost $8.50 each. One of the group bought some food for $6.50. The group spe

Liula [17]

Answer:

Equation: $8.5t+6.5=57.5$

Solution: $t=6$

Step-by-step explanation:

Let be "t" the number of movie tickets bought by the group of friends.

According to the information given in the exercise, the price of each movie ticket is: $8.50.

Then, you can represent the amount (in dollars) the group of friends spent in movie tickets, with this expression:

$8.5t$

You know that one person spent $6.50, then the expression that represents the total amount (in dollars) the group of friends spent in food and movie tickets, is:

$8.5t+6.5$

Since that total amount spent is given in the exercise, you can write the following equation to determine how many tickets were bought:

$8.5t+6.5=57.5$

Finally, you can solve for "t" in order to find the solution of the equation. This is:

$8.5t=57.5-6.5\\\\t=\frac{51}{8.5}\\\\t=6$

3 0

3 years ago