Volume of prism: 5 x 4 x 6 = 120 cubic meters
Volume of pyramid: 5x4 x 6/3 = 40 cubic meters
Ratio: 40/120 = 1/3
Answer:

Step-by-step explanation:
Given



Required
Determine the length of LS
Since H is between L and S, then

Substitute 14x - 21 for LS, 15 for LH and 8x for HS

Collect Like Terms


Divide both sides by 6

Substitute 6 for x in 



<em>Hence, the length of LS is 63 units</em>
We determine line m as follows:
*First, by theorem we have the following:

Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:

So, the slope of line m is -4/7. Now, using this slope and the point (-1, 4) we replace in the following expression:

Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y:


And that last function of y is the line m.
I think its C) bc you would take 3.14 x4= 12.56
Answer: 31
Step-by-step explanation:
add the 2 lengths of the given parts.