A rectangle’s perimeter and it area have the same numerical value. The width of the rectangle is 3 units. What is the length is the rectangle on units?

Answer:

sum = 900

Step-by-step explanation:

The sum of all odd number can be solved using arithmetic progression formula.

Odd numbers are numbers that cannot be exactly divided by 2 .That means odd number have remainder when divide by 2.

The first odd number is 1

The second is  3

The sequence goes like this

1, 3, 5, 7, 9, 11, 13, 15, 17, 19 , 21 .................................59

a = 1

d = 2

where

a = first term

d = common difference

let us find the number of terms before finding the sum

nth term = a + (n - 1)d

59 = 1 + (n - 1)2

59 = 1 + 2n - 2

59 + 2 - 1 = 2n

60 = 2n

n = 60/2

n = 30

Sum = n/2(a+L)

where L = last term

sum = 30/2(1 + 59)

sum = 15(60)

sum = 900

Answer:

 .

Step-by-step explanation:

Given : You have the numbers 1-24 written on a slip of paper if you choose one slip at random .

To find : what is the probability that you Will Not select a number which is divisible by 3.

Solution : We have given that numbers from 1 to 24

Numbers divisible by 3 area 3,6,9,12,15,18,21,24.

There are 8 numbers which are divisible by 3

So, numbers which are not divisible by 3 are 24 -8 =16.

Probability of number which are not divisible by 3 = .

Probability of number which are not divisible by 3 = .

Therefore,  .

25a² - 16b²

25*-2² - 16*3²

25*4 - 16*9

100 - 144

= -44

Answer:y = 0.8x and y = -0.12x2 + 20

Step-by-step explanation: