Answer:
Step-by-step explanation:
<u>Volume Of A Pyramid </u>
The volume of a pyramid is computed as one third of the product of the area of the base (B) by the height (H):
<em>The question doesn't ask for anything in particular, so I'm computing the volume of the solid shown in the image </em>
We have a rectangular base of dimensions 15m x 60 m. The area of the base is
We now calculate the volume, knowing the height is 55 m
The slope of the line is 4.5
<h3>How to determine the slope?</h3>The points are given as:
(2,9) and (4, 18)
The slope (m) is calculated using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (18 - 9)/(4 -2)
Evaluate
m = 4.5
Hence, the slope of the line is 4.5
Read more about slope at:
#SPJ1
Answer:
Step-by-step explanation:
Given points P(1, -1, 4), Q (4,2,1) vector equation of a line joining the points with position vectors r₀ and r₁ is:
r = (1 - t)r₀ + tr₁
where
t ∈ [0, 1]
and r₀ = P = (1, -1, 4)
r₁ = Q = (4, 2, 1)
r(t) = (1 - t) + t
∴
The vector equation where t ∈ [0,1] is:
r(t) = (1+3t)i - (1+3t)j + (4 - 3t)k
The parametric equation is:
x(t) = 1 + 3t
y(t) = -1 + 3t
z(t) = 4 - 3t
(x(t), y(t), z(t) ) = ( 1 + 3t, -1 + 3t, 4 - 3t )