The answer could be 48/5 or 9 and 3/5 or 9.6 These all mean the same exact thing. You get the answer by multiplying 12/1 and 4/5 to get 48/5.
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Answer:
- Below is the procedure to find the answer: 30,000 hot dogs.
Explanation:
The <em>average cost </em>is found dividing the total cost by the number of hot dogs:
The total cost is the the sum of amount that you invest plus the product of the cost of producing each hot dog times the number of hot dogs:
Where x is the number of hot dogs.
- Solve for x from the equation:
Which shows you how you can find that the answer is 30,000 hot dogs.
(9)
<em>x</em> ° = 1/2 (130° - 30°) = 50°
(due to a theorem about intersecting secants/tangents)
(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then
<em>x</em> ° = 1/2 (240° - 120°) = 60°
(due to the same theorem)
(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that <em>y </em>° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and <em>x</em> ° is the measure of each arc that passes over an edge of the pentagon.
Each arc makes up 1/5 of the circle's circumferece, so
<em>x</em> ° = 360°/5 = 72°
The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)
The angles formed by the tangent to the circle are supplementary, so that
<em>y</em> ° + 108° + <em>y</em> ° = 180°
2<em>y</em> ° = 72°
<em>y</em> ° = 36°
