Answer:
According to the diagram, is the polar angle (the "vertical" angle made with the positive z-axis) and is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take
Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where
Step-by-step explanation:
Answer:
The equation of the line in point slope form is equal to

Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the slope
The formula to calculate the slope between two points is equal to

we have
(-2,-2) and (2,2)
substitute the values

step 2
Find the equation of the line in point slope form

we have

substitute the values in the formula

Answer:
Side length of square (inches): 1 ,2, 4, 7
Perimeter of square (inches). : 4, 8, 16, 28
Step-by-step explanation:
Ratio is 1:4 (S:P).
So:
#:8, #=2. This is because 2/8 and 1/4 both = 0.25.
#:16, #=4. 4/16=0.25
7:#, #=28. 4x7=28, 7/28=0.25
Hope that helps
Answer:
x=4
Step-by-step explanation:
4x-3=x+9
4x-x-3=9
4x-x=9+3
3x=9+3
3x=12
3/3
12/3=4
x=4
Answer:2.9235
Step-by-step explanation:
Since 20 people are administered the medicine and;
11% of the 20 people suffer severe i.e 11% of 20 = 2.2 people
20% of them suffer moderate i.e
20% of 20 = 4 people and;
69% of the 20 people suffer minor side i.e
69% of 20 = 13.8 people
Therefore the probability 2, 4, and 14 people will suffer severe, moderate, or minor side effects, respectively will be;
2/2.2 + 4/4 + 14/13.8 (i.e possible outcome/total outcome)
This will give us 2.9235