You spin the spinner once. Find the theoretical probability of the event. *show your work*
2 answers:
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Given problem: .
Solution: We can see that first we have 8 and 2 numbers in front of 10's powers.
So, we need to simplify 8 over 2 first.
If we divide 8 by 2, we get 4.
Now, let us work on 10's and their powers.
is being divided by
We can apply quotient rule of exponents remaining part.
According to quotient rule of exponents,
If we apply same rule, we need to subtract exponents of 10's.
If we simplify exponent part -4-(-2), it will give us -4+2 =-2.
So,
And final answer would be .
Answer:
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.