Find the angle between the hands of a clock at 5: 15 a 60 b 67.5 c 75

The answer is B 67.5

Step-by-step explanation:

I just did this problem and got it correct

Option B is correct.

67.5 degree

Step-by-step explanation:

To find the angle between the hands of a clock.

Given that:

Hands of a clock at 5 : 15.

We know that:

A clock is a circle and it always contains 360 degree.

Since, there are 60 minutes on a clock.

so,  each minute is 6 degree.

The minutes hand on the clock will point at 15 minute,

then, its position on the clock is:

Also, there are 12 hours on the clock

⇒Each hour is 30 degree.

Now, can calculate where the hour hand at 5:00 clock.

⇒

Since, the hours hand is between 5 and 6 and we are looking for 5:15 then :

15 minutes is equal to of an hour

⇒

Then the angle between two hands of clock:

⇒

Therefore, the angle between the hands of a clock at 5: 15 is: 67.5 degree.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)