<u>Answer:</u>
297 cubic feet
<u>Step-by-step explanation:</u>
We are given that a right rectangular prism has a length of 8 ft, width of 8 1/4 ft, and height of 4 1/2 ft.
We are to find the volume of this prism.
We know the formula of volume of a rectangular prism is given by: 
where 
is the width, 
is the height and 
is the length of the prism.
So substituting the given values in the formula:
Volume of prism = 
297 cubic feet
Answer:
2: 7:10 3: 6:14
Step-by-step explanation:
There are 7 blue marbles and 10 are green
There are 6 circles and 14 hearts
<span>The name of the shape graphed by the function r ^ 2 = 9
cos (2 theta) is called the “<u>lemniscate</u>”. A lemniscate is a
plane curve with a feature shape which consists of two loops that meet at a
central point. The curve is also sometimes called as the lemniscate of
Bernoulli. </span>
Explanation:
The
period of coskθ is 2π/k. In this case, k = 2 therefore the
period is π.
r ^ 2 = 9 cos 2θ ≥0 → cos 2θ ≥0. So easily
one period can be chosen as θ ∈
[0, π] wherein cos 2θ ≥0.
As cos(2(−θ)) = cos2θ, the graph is symmetrical about the initial line.
Also,
as cos (2(pi-theta) = cos 2theta, the graph is symmetrical about the
vertical θ = π/2
A
Table for half period [0,π4/] is
adequate for the shape in Quarter1
Use symmetry for the other three quarters:
(r, θ) : (0,3)(3/√√2,π/8)(3√2/2,π/6)(0,π/4<span>)</span>
Answer:
k = 6.
Step-by-step explanation:
k = 6
2k = 12
12 - 6 - 3 = 3
k = 1
2k = 2
2 - 6 - 3 = -7
So, the answer is k = 6 because it makes more sense.
