Answer:
30
Step-by-step explanation:
6 = 6, 12, 18, 24, <u>30</u>, 36
5 = 5, 10, 15, 20, 25, <u>30</u>, 35
Answer:
432 feet
Step-by-step explanation:
The total length of line he will draw is equivalent to the perimeter of the plane shape he is drawing. Given that it is a soccer field measured as 96 feet by 120 feet, the shape is a rectangle.
The perimeter p of a rectangle whose length is l and width is b is given as
p = 2(l+b)
Hence the length of the line he must draw
= 2(96 + 120)
= 2 * 216
= 432 feet
<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>
Slope-intercept form formula: y=mx+b
our slope is undefined.
The percent of increase is 2%
