There are 60 minutes in an hour and percent means per one hundred so:
p/100=18/60
p=1800/60
p=30%
Answer:
8 minutes.
Step-by-step explanation:
Let m represent number of minutes.
We have been given that Mike is biking to catch up with his sister who is already 1200 yards ahead of him. His sister is biking at a speed of 450 yards per minute.
So total distance covered by Mike's sister after m minutes would be
.
Mike bikes at a speed of 600 yards per minute, so total distance covered by Mike in minutes would be
.
Now, we will equate both expressions to find minutes at which both distances will be equal as:




Therefore, it will take after 8 minutes for Mike to catch his sister.
Answer:
$76.8
Step-by-step explanation:
As, So 20% of 64 will be the markup price.
So 20/100 x 64 = $12.8
Now Markup price = $12.8
And The retail price = markup price + original price = $12.8 + $64 = $76.8
Answer:
\int\limits^{\pi/2} _0 (1+4cos^{2} (2x)dx
Step-by-step explanation:
Arc length is calculated by dividing the arcs in to small segments ds
By pythagoren theorem

then integrate ds to get arc length.
We are given a function as
y = sin 2x in the interval [0, pi/2]
To find arc length in the interval
Arc length 
Hence arc length would be
B)