Take the right angled triangle with sides 13, 12 and 5. sine theta will be 12/13
When sin theta < 0 and cos theta < 0 we are in the third quadrant so sin theta will be -12/13
tan theta = sin theta / cos theta = -5/13 / -12/13 = -5*13 / -12*13 = 5/12
K=4 would be the answer you’re looking for
Answer: The mean of the data is 433.75, variance of the data is 99667.19 and the standard deviation of the data is 315.7011.
Explanation:
The given data is 900, 35, 500 and 300.
The number of observation is 4.
Formula of mean is,
The formula of variance is given below,
The variance of the data is 99667.19
The standard deviation of the data is 315.7011.
The other information or values of given chart is shown in the attached table.
All planes without a plane DIH.
Answer:
BGH; CDA; FID; FIH
We know that
Rigid transformation:
A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.
Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations"
so, it's length must be preserved
now, we will check each option
option-A:
we have (x,3y)
y-value changes but x-value will remain same
It changes length
so, this is not rigid transformation
option-B:
we have (3x,y)
x-value changes but y-value will remain same
It changes length
so, this is not rigid transformation
option-C:
(2x, y+2)
It changes length of x-value
but it is only shifting y-value
so, it changes length
so, this is not rigid transformation
option-D:
Both shifts values
but it's length will always be same
so, this is rigid transformation..............Answer
