So basically you form little trapaziods to fin =d the area. It's been a long time since I took calculus so Imma have to improvise
Area or trapaziod = area of rectangle + area of triangle so you get
2*1+(3-2)*1/2+3*1+(6-3)*1/2+6*1+(11-6)*1/2=15.5
Answer:
He's expected to hit 320 times.
Step-by-step explanation:
To solve this problem we first need to compute the ratio at which he hit the ball in the last season, to do that we need to divide the number of hits by the number of tries. We have:
ratio = number of hits/ number of tries
ratio = 160/200 = 0.8
Since he's expected to bat 400 times if he maintains the same ratio in this season he'll hit:
number of hits = (number of tries)*ratio
number of hits = 400*0.8 = 320
He's expected to hit 320 times.
Answer: 13.4km/min
Step-by-step explanation:
Speed in km/minutes will be calculatedby rate divided by time= 114/8.5
=13.4km/min
I'll abbreviate
and
, so the identity to prove is

On the left side, we can simplify a bit:


Then

So the establish the original equality, we need to show that

Combine the fractions:

We can rewrite the denominator as

then using the fact that
, we get

so that we have

as desired.