Evaluate the sum summation from k equals 1 to 9 k left parenthesis 5 k plus 2 right parenthesis.

We need to evaluate:

Where k=1,2,3,4,5..........9

When k=1 then 5k+2= 5(1)+2=5+2=7

Similarly when k=2 then 5k+2=5(2)+2=10+2=12

When k=3 then 5k+2=5(3)+2=15+2=17

When k=4 then 5k+2=5(4)+2=20+2=22

When k=5 then 5k+2=5(5)+2=25+2=27

When k=6 then 5k+2=5(6)+2=30+2=32

When k=7 then 5k+2=5(7)+2=35+2=37

When k=8 then 5k+2=5(8)+2=40+2=42

When k=9 then 5k+2=5(9)+2=45+2=47.

Now to find add all the numbers. So,

=7+12+17+22+27+32+37+42+47 =243.

So, =243

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36