What is the measure of y?
3
27
Y у
N
y = [?]

Step-by-step explanation:

The right triangle on the right is a special right triangle: a 30-60-90 triangle

30-60-90 corresponds with the angle measures on the triangle

the sides on a 30-60-90 relate to the angle opposite of it

30 ⇒x       60 ⇒ x      90 ⇒ 2x

27 is opposite to the 60° angle

   simplify ×     =

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

is it 35

step-by-step explanation: