The answer would be approximately 9 inches but the real number is 9.42 So B is the answer. I hope this helped ^^
Answer:
7.1437 is greater
Step-by-step explanation:
For the figure on the left, the answers are a = 8 and b = 4
This is a 30-60-90 triangle. The short leg is always opposite the smallest angle (30 degrees). The rule is the smallest side is opposite the smallest angle. Similarly, the largest side is opposite the largest angle. In a right triangle the largest side is always opposite the 90 degree angle. This side is the hypotenuse.
Recall that the longer leg is sqrt(3) times the short leg. The notation "sqrt" is shorthand for "square root".
So long leg = (short leg)*sqrt(3) which means b = 4 must be the case to end up with long leg = 4*sqrt(3)
The hypotenuse is twice that of the short leg, so a = 2*b = 2*4 = 8
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For the figure on the right, the answers are x = 2*sqrt(3) and y = 2
The short leg is y, which is opposite the 30 degree angle (this is another 30-60-90 triangle). So y is half of the hypotenuse 4. That explains how y = 2.
The long leg x is equal to sqrt(3) times the short leg, so
(long leg) = (short leg)*sqrt(3)
x = y*sqrt(3)
x = 2*sqrt(3)
I believe the correct answer from the choices listed above is option A. If DF+FE=DE, then point F is <span>A. a midpoint of DE (with line over). F is the endpoint of line segment DF and is the starting point of line DE thus it is in between line DE. Hope this answers the question.</span>
Answer:
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
Step-by-step explanation:
The amount of profit <em>y</em> made by the company from selling each widget at <em>x</em> price is modeled by the equation:
Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the <em>x-</em>coordinate of the vertex. This is given by the formula:
In this case, <em>a</em> = -1, <em>b</em> = 72, and <em>c</em> = -458. Substitute and evaluate:
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
