Answer:
3 steps per second.
Step-by-step explanation:
Find the Unit Rates of each going up and down:
--> 30/6 unit rate is 5 steps per second.
--> 30/15 unit rate is 2 steps per second.
Now subtract them to get the amount if the elevator wasn't moving:
--> 5-2= 3.
You can solve this problem and calculate the arc lenght, by applying the following formula:
s=θr
s: it is the arc lenght.
θ: it is the central angle (θ=2π/3).
r: it is the radius of the circle (r=10 inches).
When you substitute these values into the formula, you obtain the arc lenght (s):
s=θr
s=(2π/3)(10)
Then, you have that the value of the arc lenght is:
s=20.94 inches
Answer: Ro, 270 degrees
Step-by-step explanation:
When doing rotational transformation, you always rotate counter-clockwise. In this case, the triangle on the top right is the original figure, and the triangle on the bottom left is the image. You can pick any point on the original triangle and compare it to its corresponding point on the image to figure out how it has been transformed.
Answer:
Step-by-step explanation:
The concept of binomial probability is applied.
Mathematically from binomial probability ; (nCx)px(1−p)(n-x)
The detailed step by step is as shown in the attachment
Answer:
(x+1)(x-3i) (x+3i)
Step-by-step explanation:
x^3 + x^2 + 9x+9
We will use factor by grouping
Factor out x^2 from the first group and 9 from the second group
x^3 + x^2 + 9x+9
x^2( x+1) + 9(x+1)
Factor out (x+1)
(x+1) ((x^2+9)
Now factor x^2+9
x^2 -(3i)^2 = (x-3i) (x+3i)
Replacing this
(x+1)(x-3i) (x+3i)
