Answer:
k = 1/2
y = -108
Step-by-step explanation:
y varies jointly as x and the cube of z
y =kxz^3
We know y=16 when x=4 and z=2 so we can determine k
16 = k (4) 2^3
16 = k*4*8
16 = 32k
Divide each side by 32
16/32 = 32k/32
1/2 = k
y = 1/2 xz^3
Now y=? when x=-8 and z=-3
y = 1/2 * 8 (-3)^3
y = (1/2) *8 (-27)
y =4 (-27)
y = -108
Answer:
BA = 25π,
LA = 25√2π,
TA = 25π + 25√2π,
V = 41 and 2 / 3π
Step-by-step explanation:
We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,
( Height = 5 inches = Radius
______
Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "
- Base Area = 25π
______
The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula,
-
- Lateral Area = 25√2π
______
And the surface area is the base area + lateral area -
- Surface Area
______
The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -
- Volume = 41 and 2 / 3π
Answer:
2h30m
Step-by-step explanation:
Assuming they each do half, Julie would take 1 hour and John would take 1 hour 30 minutes, and combined would therefore be 2h30m.
Simple Answer:
Use the x and y coordinates
Step by Step Explanation:
If you are given a table the x-axis is generally on the left/top. Now look at your coordinate plane, the horizontal line is the x and the vertical line is the y. So if you are given (-6,7), you will go to the left 6 and up 7. Hope this helps!
the answer is 640.
if you take 640 and multiply it by .23 (because of 23%), you get 147.2 which is exactly what you are looking for.
Hope this helps! :)