Answer:
The selling price of the tea set should be: The selling price of the tea set is $2170
$1400 x . 55 = $770.
Answer:
x < 1.
Step-by-step explanation:
-6x + 5 > -1
-6x > -1 - 5
-6x > -6
x < 1 (answer).
Note that the inequality sign flips when we divide by a negative.
Answer:
1) Antonio's statement
2) <A = 123
Step-by-step explanation:
1) Antonio's statement is incorrect. This is because the opposite angles of a quadrilateral add up to 180°. Erin was incorrect because the opposite angles of this quadrilateral are unequal.
2) 2x+7+5x-2 = 180° (opposite angles of quadrilateral)
Now
7x+5 = 180
7x = 175
x = 25
<A = 5x-2
= 5(25)-2
= 125-2
= 123
<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>
In order to find the perimeter, we need to have the length and the width. We are told that the area of the rectangle is 42. We will use that in the area formula, length times width, to solve for w. 42 = 7w so w = 6. The length is 7 and the width is 6. The perimeter formula for a rectangle is P = 2L + 2W. We have both the length and the width now, so we fill in accordingly. P = 2(7) + 2(6). And P=14+12. The perimeter then is 26 inches.
