By doubling each dimension the area of a parallelogram increased from 36 square centimeters to 144 square centimeters. find the percent of increase in area

Answers

Answer 1

Answer:

The percentage of increase in area will be 300%

Explanation

By doubling each dimension, the area of a parallelogram increased from 36 square centimeters to 144 square centimeters.

So, the increased area = Final area - Initial area = (144 - 36)cm² = 108 cm²

Now, for finding the percentage of increase, first we need to divide "the increased area" by the "initial area" and then multiply by 100%

Thus, the percentage of increase in area $= (108)/(36)*100 = 300$ %

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Write an equation for the sequence: 2, 24, 720, 40320, 3628800

Answers

The sequence forms a group of factorials.
Notice that
2! = 2
4! = 24
6! = 720
8! = 40320
10! = 3628800
Each number beside a factorial is an even number. The equation for even number is 2x. Therefore, the final equation is
f(x) = 2x!

Verify
x = 1, f(1) = 2(1)! = 2!
x = 2, f(2) = 2(2)! = 4!
x = 3, f(3) = 2(3)! = 6!
and so on.

A beach has to enclose a rectangular area, because some endangered species are nesting there. They have 200 feet of rope to rope off the area with. What is the maximum area that they can rope off?

Answers

Given:
rectangular area
200 feet of rope to rope off the area with.

200 feet is the perimeter of the rectangle. Since its a rectangle its length should be greater than its width.

Perimeter = 2(L + W)
200 ft = 2 (L + W)
200 ft / 2 = (L + W)
100 ft = L + W

100 ft can be distributed as follows:
Length Width Area = Length * Width
90 10 900
85 15 1,275
80 20 1,600
75 25 1,875
70 30 2,100
65 35 2,275
60 40 2,400
55 45 2,475

The maximum area that can be roped off is 2,475 ft².

Answer:

2500

Step-by-step explanation:

What is -4 times 1 -1