Answer:
The length of the longer side is 2√2/3
Step-by-step explanation:
A 45-45-90 triangle is a right-angled triangle.
In fact, since it has two angles equal, it is a right angled isosceles triangle. What we are saying is that two of its sides are equal.
Hence, we have two short sides which are the opposite and the adjacent and a longer side which is the hypotenuse
Thus, to find the length of the longer side, we employ Pythagoras’ theorem and it states that the square of the hypotenuse equals the sum of the squares of the two other sides;
Mathematically, let’s call the longer side x
so x^2 = (2/3)^2 + (2/3)^2
x^2 = 4/9 + 4/9
x^2 = 8/9
x = √(8/9)
x = 2√2/3
Answer:
The rate of change of function g is: 3/2
Step-by-step explanation:
Given the table of function g
x y
2 4
4 7
6 10
8 13
We know that rate of change is also termed as the slope of the function.
Thus,
let us take any two points, let say
(2, 4) and (4, 7)
Determining the slope between (2, 4) and (4, 7)
(x₁, y₁) = (2, 4)
(x₂, y₂) = (4, 7)
Using the formula
Rate of change or Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [7 - 4] / [4 - 2]
= 3 / 2
Thus, the rate of change of function g is: 3/2
Answer:
I think it's 2.56
you convert the 8 percent to a decimal and then you times it to 3.20
3.20×.8=2.56 (it's wrong)
