In triangle ABC, m∠A=(9y-15)°, m∠B=(y^2+20)°, and m∠C=(y+31)°. What is the measure of angle C?

Step-by-step explanation:

given

m∠A=(9y-15)°,

m∠B=(y^2+20)°, and

m∠C=(y+31)°.

In a triangle

m∠A+m∠B+∠C=(9y-15)°+(y^2+20)°+(y+31)°

m∠A+m∠B+∠C =10y+y^2-15+20+31

m∠A+m∠B+∠C =10y+y^2+36

m∠A+m∠B+∠C=y^2+10y+36

m∠A+m∠B+∠C=180°

y^2+10y+36-180=0

Y^2+10y-144=0

Y^2+(18-8)y-144=0

Y^2+18y-8Y-144=0

Y(Y+18)-8(Y+18)=0

(Y+18)(Y-8)=0

We should take positive value of Y so we take Y=8

So value of angle c is

m∠C=(y+31)°.

=(8+31)°

=39°

So the value of angle c is 39°.

725 parts per hour.

step-by-step explanation:

hi there, this answer is actually really simple.

you can set it up as 1450/2 or 3625/5 to find the answer.

they want to know how much per hour is being made, so you just divide.

1450/2=725.

and that's how many are produced per hour.

hope this . : )

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: