Answer:
Fractions are sometimes the same as dividing, for this case, that rule applies.
↑ These improper fractions translate to...
Buy 2 for$ 24.99 depends on what your getting
The Area of a circle =π.R² (R=radius). & π 3.14
Since you didn't give the length of the Radius, then the area of the circle=3.14R²
<h3>
Answer: A. 18*sqrt(3)</h3>
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Explanation:
We'll need the tangent rule
tan(angle) = opposite/adjacent
tan(R) = TH/HR
tan(30) = TH/54
sqrt(3)/3 = TH/54 ... use the unit circle
54*sqrt(3)/3 = TH .... multiply both sides by 54
(54/3)*sqrt(3) = TH
18*sqrt(3) = TH
TH = 18*sqrt(3) which points to <u>choice A</u> as the final answer
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An alternative method:
Triangle THR is a 30-60-90 triangle.
Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.
The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.
Now use the pythagorean theorem
a^2 + b^2 = c^2
(TH)^2 + (HR)^2 = (TR)^2
(x)^2 + (54)^2 = (2x)^2
x^2 + 2916 = 4x^2
2916 = 4x^2 - x^2
3x^2 = 2916
x^2 = 2916/3
x^2 = 972
x = sqrt(972)
x = sqrt(324*3)
x = sqrt(324)*sqrt(3)
x = 18*sqrt(3) which is the length of TH.
A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.
<u>Information:</u>
Fixed Cost = $32,634
Variable Cost = $8.75 per book.
Selling Price = $24.50 per book.
<u>Define x:</u>
Let x be the number of books sold.
<u>Construct Equation:</u>
For production cost to be equal auto money from sales:
⇒ 24.5x = 32634 + 8.75x
<u>Solve x:
</u>
24.5x = 32634 + 8.75x
Take away 8.75x from both sides:
15.75x = 32634
Divide both sides by 15.75:
x = 2072
Answer: The publisher must sell 2072 books.
