3. in a certain wheel, there are 15 evenly spaced spokes. what is the size of the angle between any two spokes? (hint: remember there are 360° in a complete revolution.) 4. through what angle does the minute hand of a clock turn in 20 minutes? (hint: first find out what part of an hour 20 minutes is.)

3.The angle is 24°

4.120°

Step-by-step explanation:

There are 360° in a complete revolution thus for 15 equally space spokes, the angle between every spoke is given by 360° ÷ 15 =24°

In a clock, a complete revolution yields 360°. For a 20 minutes turn, the minute hand will cover (360° ÷ 12) × 4 =120°

Answers

1) 24°

2) 120°

Explanation

There are 15 spokes meaning we are going to divide one revolution by 15.

∴ 360/ 15  = 24°

The angle between any two spokes = 24°

Question 2

In an clock, the minate hand move 360° to make 60 minutes.

This means;

60 minutes ⇒ 360°

1 minute ⇒ 360/60

               ⇒ 6°

20 minutes ⇒  20 × 6°

                   ⇒  120°

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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