Answer:
Step-by-step explanation:
<u>Constant Speed Motion
</u>
When the object travels the same distances in the same period of time, the speed is constant and is can be calculated as
where x is the distance and t is the time
There are two canoes traveling at speeds v1 and v2. One of them has twice the speed as the other. Let's say
When t hours have passed, the canoes have traveled x1 and x2 respectively.
Since
Then
The distance between them is
That distance is known and equals 11.25 miles, thus
Solving for v1 and using t=4.5 hours
It should be 140 degrees.
Assuming the man works 8 hours straight without breaks:
25% is the same as 1/4 of something.
So, we just have to figure out what 1/4 (one quarter) of 8 equals.
You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.
If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.
Now, 25% (one quarter) of the pizza will equal half of what is left:
If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).
That's it! 25% of 8 hours = 2 hours.
***So, the patrolman spends 2 hours each day completing paperwork.***
Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).
So
25% + 25% + 25% + 25% = 100%
If 100% of the mans shift = 8 hours:
2+2+2+2 = 8
It checks out!
Hope this helps!
Answer:
92
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
b and a=40⁰ so if b+c is supplementary they equal 180⁰ together so 180-40= 150⁰
