Answer:
7.2111(4 decimal places)
Step-by-step explanation:
a squared by b squared=c squared
36 + 16 is 52, so then you need to square root 52 which is 7.2111 to 4 decimal places. I hope you benefit from this. Cheers
Answer:
y = 6/5x - 24/5
Step-by-step explanation:
The two points we are given are (4, 0) and (9, 6). First, find the slope.
m = 6 - 0/9 - 4 = 6/5
Next, insert the values into the point-slope form formula. I'll use (4, 0) as the coordinates.
y - 0 = 6/5(x - 4)
y = 6/5x - 24/5
Answer:
Step-by-step explanation:
y = mx + b
y = -x/3 + b
1 = -2/3 + b
b = 5/3
y = -x/3 + 5/3
Answer:
The mean is also increased by the constant k.
Step-by-step explanation:
Suppose that we have the set of N elements
{x₁, x₂, x₃, ..., xₙ}
The mean of this set is:
M = (x₁ + x₂ + x₃ + ... + xₙ)/N
Now if we increase each element of our set by a constant K, then our new set is:
{ (x₁ + k), (x₂ + k), ..., (xₙ + k)}
The mean of this set is:
M' = ( (x₁ + k) + (x₂ + k) + ... + (xₙ + k))/N
M' = (x₁ + x₂ + ... + xₙ + N*k)/N
We can rewrite this as:
M' = (x₁ + x₂ + ... + xₙ)/N + (k*N)/N
and (x₁ + x₂ + ... + xₙ)/N was the original mean, then:
M' = M + (k*N)/N
M' = M + k
Then if we increase all the elements by a constant k, the mean is also increased by the same constant k.
Answer:
Area of semicircle = 226.08 in²
Step-by-step explanation:
Diameter of semicircle = 24 in
We need to find area of semicircle.
The formula used to find area of semicircle is: 
First we will find radius
We know that: radius = diameter/2 = 24/2 = 12
Now, finding area
So, Area of semicircle = 226.08 in²
