What are the three situations when you can use the law of sines.
1 you are given a triangle with two angles and the included side.
2 you are given a triangle with all three sides.
3 you are given a triangle with two sides and a non-included angle.
4 you are given a triangle all three angles.
5 you are given a triangle with two angles and a non-included side.

Answer with explanation:

Law of Sines

If the triangle has side length, a , b and c and Angles are A, B and C , then Sine law can be written as

1. You are given a triangle with two angles and the included side.

Find the measure of third Angle, then using sine law find the length of other sides.

3.You are given a triangle with two sides and a non-included angle.

  First evaluate , second angle which is in front of corresponding side and then third angle and other side.

5.You are given a triangle with two angles and a non-included side.

Calculate the third Angle using angle sum property and other sides using sine law.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.