Write a function called Radians_To_Degrees which will convert an angle from Radians to Degrees. In your Lesson 06 script: a. convert 1.62 radians to degrees b. Convert pi/9 radians to degrees

a) 92.9 degrees

b) 20 degrees

Step-by-step explanation:

Using the conversion factor;

180 degrees = pi radians

For 1.62 radians;

1.62 radians = x

pi radians = 180 degrees

Divide both expressions;

1.62/pi = x/180

pi * x = 1.62 * 180

pi * x = 291.6

x = 291.6/pi

x = 291.6/3.14

x = 92.9 degrees

Hence 1.62 radians is equivalent to 92.9 degrees

b) Recall that

pi radians = 180 degrees

pi/9 rad = y

Cross multiply

y * pi = 180pi/9

y = 180/9

y = 20 degrees

Hence pi/9 radians is equivalent to 20 degrees

See explanation

Step-by-step explanation:

Let x be the number of minutes Jack jogs and y be the number of minutes Jack rides his bike.

Part A.

Jack jogs and rides his bike for a total of 75 minutes every day, then

He rides his bike 15 minutes more than he jogs, then

So, the pair of linear equations to show the relationship between x and y is

Part B.

Substitute the second equation into the first equation:

Jack spends 30 minutes each day jogging.

Part C.

Suppose Jack spends 60 minutes riding his bike every day, then he spends 60 - 15 = 45 minutes jogging every day. In total, he spends 60 + 45 = 105 minutes every day. Since 105 is greater than 75, then it is not possible.