41 coins, consisting of nickels and quarters, have a total value of $4.65. how many coins of each kind are there?

28 nickels and 13 quarters

Step-by-step explanation:

Let the number of nickels represented by x and the number of quarters represented by y.

Then according to the question, we have the following equations :

Divide 0.05 on both sides  of equation (2), we get

Subtract equation (1) from equation (3) , we get

From (1), x=28

Therefore, there are 28 nickels and 13 quarters.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.