The least common multiple of 4 and 6 is 12.
Answer:
Step-by-step explanation:
1) divide equilateral tri from the middle you will get two 30-60-90 triangles
2) by using pythagorean law & trigimintory, you will get two unknowns (height and side length) and two functions
Answer:
0.74
Step-by-step explanation:
The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:
σ² = ![\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B%7B%28x_%7B1%7D-%5Bx%20bar%5D%20%29%7D%5E%7B2%7D%2B...%2B%7B%28x_%7Bn%7D-%5Bx%20bar%5D%29%20%7D%5E%7B2%7D%7D%7Bn%7D)
x = number in the data set
xbar = median of the data set
n = number of terms
Plugging in the given values, the equation for the variance of this number set is:
σ² = 
Solving:
= 
= 
σ² = 0.546875
Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

= 0.73950997288745
= 0.74 (rounded)
hope this helps!
The missing value x=3 is obtained by the concept of slope in coordinate geometry.
<h3>What is slope?</h3>
Positive or negative rates of change are both possible. Since the slope of a line is determined by the ratio of the vertical and horizontal change between any two locations on a plane or line, the slope is determined by the rise to run ratio. Where, Rise is the difference in elevation between two points. The horizontal shift between two places is known as a run.
Formula of slope =
(equation 1)
According to the question the coordinates are: xi=2, x2=x, y1=6, y2=10
Given, rate of change=4 (here rate of change=slope)
Putting all coordinates in equation 1
Slope=
4=4/x-2
x-2=1
x=3
Therefore, the missing value x=3
To know more about slope visit:
brainly.com/question/3605446
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