Answer:
9/20 yes, 4/15 not. See below
Step-by-step explanation:
Pick 9/20 and multiply numerator and denominator by 5:
9/20 = 45/100
We know that if we divide a number by 100 we need to move the coma as two places left, so:
9/20 = 45/100 = 0.45
And this is a terminal decimal as we know where it ends.
On the other hand if we pick 4/15 let try to divide it (here I will do it 'manually'):
4 |_ 15
we can divide 4 by 15, so we use 40 and begin with a comma
40 |_ 15
0.
15 enters 2 times in 40 with a rest of 10, so:
40 |_ 15
30 0.2
100
100 divided by 15 is 6 and we have 10 as rest again, and again and again...
40 |_ 15
30 0.266.....
100
100
....
So, we will have 0.266666666666666 infinitely. The decimal for 4/15 is non terminating and is 0.26666666666666666...
Answer:
Last one
Step-by-step explanation:
165
5x5= 25
12x12=144
25+144= 165
Answer:
<u>Width = 7 inches</u>
<u>Length = 23 inches</u>
Step-by-step explanation:
Let :
Equating to area :
- (2x + 9)(x) = 161
- 2x² + 9x = 161
- 2x² + 9x - 161 = 0
- 2x² - 14x + 23x - 161 = 0
- 2x(x - 7) + 23(x - 7) = 0
- x - 7 = 0
- x = 7
Dimensions are :
- <u>Width = 7 inches</u>
- Length = 2(7) + 9
- <u>Length = 23 inches</u>
The circumference of the new disc 160Π that is 10 time of old circumference.
Step-by-step explanation:
Given,
Circumference of circular disc = 16Π (pi = Π)
Let, the radius of the circle be 'r'
Formula
The circumference of a circle with r radius = 2 Π r
According to the problem,
2 Π r = 16Π
or, 2r = 16 ( by eliminating the value of Π from both the side)
or, r = 8
Now, we multiply the radius by 10
so, the new radius is 8 X 10 = 80
Now the circumference = 2 Π X 80
= 160Π
Hence, the new circumference also will be 10 times of the older one.
