If the length of the longer leg in a 30°-60°-90° triangle is 5V3, what is the length of the shorter leg?

Mathematics

1 answer:

Studentka2010 [4]2 years ago

5 0

Answer:

B. 5

Step-by-step explanation:

Let x = length of shorter leg

longer leg = $\sqrt{3}$ times the shorter leg

5 $\sqrt{3}$ = x $\sqrt{3}$

x = 5

You might be interested in

Solve the system of equations. 10x+y=−20 y=2x2−4x−16 ( , ) and ( , )

Sladkaya [172]

I will go about solving this using the elimination method.

First, convert the equations.

10x + y = -20
4x + y = -12

Second, find the easiest variable to get rid of and get rid of it! (In this case, y) We will subtract to get rid of y.

6x = -8

Third, you want to solve the equation.

6x = -8 (divide by 6)
x = $-1 \frac{1}{3}$

Fourth, solve for y by inserting the answer for x into one of the equations.

10( $-1 \frac{1}{3}$ ) + y = -20
$-13 \frac{1}{3}$ + y = -20 (subtract $-13 \frac{1}{3}$ )
y = $-6 \frac{2}{3}$

The solution for this system of equations is ( $-1 \frac{1}{3}$ , $-6 \frac{2}{3}$ ).

7 0

3 years ago

Read 2 more answers

Sally can paint a room in 7 hours while it takes Steve 6 hours to paint the same room. How long would it take them to paint the

Kipish [7]

I would say about 6.25 hours

6 0

3 years ago

Read 2 more answers

Is 8 yards graeter than 20 feet

Natasha_Volkova [10]

8 yards is 24 feet, so yes it’s greater