Area = 36 = length*width
Then, while the area is constant the product length*width is constant.
Length and area are inversely related.
That means that to keep the same product (area), length vary in inverse proportion to width.
If you increase length, widht has to decrease to satisfy this relation:
width = 36/length
Of course, you can also say: length = 36 / width.
Answer:
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Step-by-step explanation:
Let
x = price of balcony tickets
y = price of orchestra tickets
y = 3x (1)
148y + 76x = 3,640 (2)
Substitute y = 3x into (2)
148y + 76x = 3,640 (2)
148(3x) + 76x = 3,640
444x + 76x = 3,640
520x = 3,640
x = 3,640/520
x = 7
Substitute x = 7 into (1)
y = 3x (1)
y = 3(7)
y = 21
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Answer:
1/√5+√3= 1/√5+√3×√5-√3/√5-√3 = √5-√3/(√5)^2-(√3)^2 {(a+b)(a-b)= (a)^2-(b)^2} =√5-√3/5-3 =√5-√3/2 ans... Do you satisfied to my given answer
Step-by-step explanation:
Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.
<h3>
Which is the graph of cotangent of x?</h3>
Remember that cot(x) = 1/tan(x).
Then we can rewrite:
cot(x) = cos(x)/sin(x).
We know that for x = 0, we have:
cot(0) = cos(0)/sin(0) = 1/0
Then we have a vertical asymptote that tends to ± infinity.
The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.
From that, we conclude that the correct option is B.
If you want to learn more about trigonometric functions:
brainly.com/question/8120556
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Answer:
option A
Step-by-step explanation:
given,
10% A grades 80% B grades 10% C grades
This year, managers with scores less than 35 received C's and those with scores above 425 received A's.
The mean has to be middle of two corresponding cutoff value
μ = 230
Cutoff Off C grade corresponds with the area of 0.10 is table A.
corresponding z- score according to Table A
Z = -1.28
now, standard deviation
σ = 152.3
Correct answer is option A
