Splitting up the interval [0, 6] into 6 subintervals means we have
![[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]](https://tex.z-dn.net/?f=%5B0%2C1%5D%5Ccup%5B1%2C2%5D%5Ccup%5B2%2C3%5D%5Ccup%5Ccdots%5Ccup%5B5%2C6%5D)
and the respective midpoints are

. We can write these sequentially as

where

.
So the integral is approximately

Recall that



so our sum becomes

Answer:
34 classes
Step-by-step explanation:
First, subract 180 from 1200. You should get 1020. then do 1020/30. So 34 classes can watch the performance of 180 students.
Step-by-step explanation:
x = 145°
we don't even need the upper parallel line with the 35° angle.
it is simply based on the fact that the angles on both sides of 2 intersecting lines have to be the same (just left-right mirrored).
The volume of this right rectangular prism is 263.52 and it is to the nearest hundredths as a decimal, hope it helps!