45 45 90 triangle
legs are x and hypotonuse=x√2
10=furst x
10=x
hypotonuse=10√2
that hypotonuse is the leg of the other triangle
the hypotonuse is √2 times that
10√2=x of bigger triangle
hypotonuse=x√2=10√2 times √2=10*2=20
answer is 20 units
It can't be factorized it has no common factors no factor of 4 will go easily into 9
Colfax:
Add the ratio numbers together:
5 + 4 = 9
Divide total students by that:
270 / 9 = 30
Multiply each ratio by 30:
Boys = 30 *5 = 150
Girls = 30 * 4 = 120
Do the same for Winthrop:
4 +5 = 9
180 /9 = 20
Boys = 20 * 4 = 80
Girls = 20 * 5 = 100
Total students = 270 + 180 = 450
Total Girls = 120 + 100 = 220
Fraction that are girls = 220 / 450 which reduces to 22/45
Answer: a) 1,600
b) 35,000
c) 120,000
<u>Step-by-step explanation:</u>
First, round each number to one significant digit (the first digit).
Then multiply them.
a) 17 --> rounds to 20
82 --> rounds to 80
20 x 80 = 2 x 8 with two zeros
= 1 6 0 0
b) 54 --> rounds to 50
671 --> rounds to 700
50 x 700 = 5 x 7 with three zeros
= 3 5 0 0 0
c) 207 --> rounds to 200
643 --> rounds to 600
200 x 600 = 2 x 6 with four zeros
= 1 2 0 0 0 0