Answer:
Volume of a sphere = 17.164 m³ (Approx)
Step-by-step explanation:
Given:
Diameter of a sphere = 3.2 m
Radius of a sphere = Diameter / 2 = 3.2 / 2 = 1.6 m
Find:
Volume of a sphere = ?
Computation:
Volume of a sphere = 17.164 m³ (Approx)
Answer:
3 = ?
Step-by-step explanation:
The triangles are similar, so we can use ratios
15 12 -2
------ = --------------
15+? 12
15 10
------ = --------------
15+? 12
Using cross products
15 * 12 = 10 ( 15+?)
180 = 10 ( 15+?)
Divide each side by 10
18 = 15+?
Subtract 15 from each side
18-15 = 15+?-15
3 = ?
A. You can remember which axis is which by Y-axis is the vertical one (Y to the sky) and X- axis is horizontal. it's not C because you don't have a second point. It's not (0,4) it's just 4.
Answer: Yes, y does vary directly with x.
Constant of variation = 1/4
The function rule is y = (1/4)x
=========================================================
Explanation:
Let's assume that y does vary directly with x.
If that's the case, then we have an equation in the form y = kx, where k is the constant of variation.
Solving for k gets us k = y/x
For each row, divide the y value over the x value
- row one: k = y/x = 14/56 = 0.25
- row two: k = y/x = 20/80 = 0.25
- row three: k = y/x = 22/88 = 0.25
Each row yields the value k = 0.25 and it fully confirms y does vary directly with x.
So y = kx becomes y = 0.25x as the function rule, which is equivalent to y = (1/4)x
