Find the missing lenghts of the sides

Step-by-step explanation:

Since the ratios of sides in a 30-60-90 triangle are , b must be and c must be 16. Hope this helps!

b = 8√3

c = 16

Step-by-step explanation:

We cannot yet use the Pythagorean theorem because we only have one leg of the triangle

However, we can use trig identities to solve for the missing legs

I'll solve for b first so we can use the Pythagorean theorem after to find c

Now that we have two legs of the triangle we can use the Pythagorean theorem to solve for the remaining leg, c.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation: