Answer: 
<u>Step-by-step explanation:</u>
NOTE: Neither the Trapezoidal Rule or Reimann Sums can be used without the number of rectangles (n) you are separating the interval into. Besides, they only provide an estimate. If you want the EXACT area, you must use integration.
Answer:
A = 5x + 12 (See explanation!)
Step-by-step explanation:
So, this "polygon" is really just two rectangles combined! With that in mind, remember that the area of a rectangle is base*height. Now, apply that to the problem. We know that the total length of the bottom base is 7, and 5 is the length of the second rectangle's base, so the 1st rectangle's base must be 7 - 5 = 2. The area of the 1st rectangle is then 6*2 = 12. The second rectangle's area is 5*x. So, if the area of the polygon is the sum of the two rectangles' areas, the expression you could use is:
5*x + 6* 2 = A
Simplify/Rewrite:
A = 5x + 12
(A is area, x is the unknown length in the diagram)
Hope this helps!
Answer:
smaller number is 10
larger number is 39
Step-by-step explanation:
a = small number
b = larger number
a + b = 49
2a = 3b - 97
substitute 49-a into second equation for b
2a = 3(49-a) - 97
2a = 147 - 3a - 97
5a = 50
a = 10
b = 39
Yesterday, my friends went to the cite of a world-famous puppy park with their dogs. Their dogs tails wagged so quickly they looked like helicopters. It was adorable. Once they were there, the dogs got to run around and play while the people talked about their favorite animals. Yesterday was a lot of fun for dog lovers.
Surface Area of the cylinder is: <span>384.85
Volume of the cylinder is: </span><span>538.78</span>
