We will have to use proportions:

Cross multiplying we get

Now divide:

Solve to tenths place we get

The woman casts a 36.6 ft long shadow.
Answer:
V(hemisphere) = 1072.3in^3
Step-by-step explanation:
To find the volume of a hemisphere, we will have to take the volume of a sphere as a whole and divide it by 2. This is because a hemisphere is half of a sphere.
The volume of a sphere is:
Let's plug in the radium of 8 into the equation and solve:
Now, divide it by 2
V(sphere) = (2144.660585)/2
V(hemisphere) = 1072.3in^3
I hope this helps!!
Answer:
10,000
Step-by-step explanation:
1000x10=
10000
Lets say your numbers are these...
10,20,30,40,50,60,70,80,90 and 100
you would add those to get 650
Now how many numbers did you add?
You added 10
so now divided
650 by 10
you get 65
that is the mean of those numbers!
Answer:
Step-by-step explanation:
Remember the general form of a linear equartion: y=mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
The equation of line v (y=9x+1) has a slope of 9. A perpendicular line with have a slope equal to the negative inverse of the reference line. So the line we want will have a slope of -(1/9). That gives us y = -(1/9)x + b. Any vale of b will produce a line that is perpendicular. But we want a line that goes through point (3,-2). All we need to do is find a value for b that will make that wish come true.
Use the point (3,-2) in y = -(1/9)x + b and solve for b:
y = -(1/9)x + b
-2 = -(1/9)*(3) + b
-2 = -(1/3) + b
b = - 1 2/3, or -(5/3)
The equation is y = -(1/9)x + - (5/3)