Decimals from 7.0 to 8.4 with an interval of 0.2 between each pair of decimals
We start with 7.0 and keep adding 0.2 till we get 8.4
7.0 + 0.2 = 7.2
7.2 + 0.2 = 7.4
7.4 + 0.2 = 7.6
7.6 + 0.2 = 7.8
7.8 + 0.2 = 8.0
8.0 + 0.2 = 8.2
8.2 + 0.2 = 8.4
So, the decimals from 7.0 to 8.4 with an interval of 0.2 are
7.2, 7.4, 7.6, 7.8, 8.0, 8.2
This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2
Hope this helps!!
Answer:
±10
Step-by-step explanation:
sqrt(-4) * sqrt(-25).
We know that the sqrt(a) sqrt(b) = sqrt(ab)
sqrt(-4*-25)
sqrt(100)
±10
