On a softball field, home plate is 43 feet from the pitcher’s mound. a ball is hit at an angle of 27° east of the pitcher’s mound. the ball travels 162 feet before it is caught by an outfielder. law of cosines: a2 = b2 + c2 – 2bccos( a. rounded to the nearest foot, the outfielder must throw the ball feet to return it to the pitcher.

125 feet

Step-by-step explanation:

Given :

On a softball field, home plate is 43 feet from the pitcher’s mound.

A ball is hit at an angle of 27° east of the pitcher’s mound.

The ball travels 162 feet before it is caught by an outfielder.

To Find : Rounded to the nearest foot, the outfielder must throw the ball feet to return it to the pitcher.

Solution:

Law of cosines:

∠A = 27°

b = 43

c = 162

Substitute the given values

The outfielder must throw the ball 125 feet to return it to the pitcher.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: