A cannery processed 605 pounds of strawberries in 3.5 hours. The cannery processed 2100 pounds in 10 hours.
2 answers:
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For the given triangle, x = 5.1 cm and y = 6.1 cm.
Step-by-step explanation:
Step 1:
In the given triangle, the angle is 50°. It is given that the opposite side has a length of y cm and the adjacent side has a length of y cm. The hypotenuse of the triangle measures 8 cm.
To determine the length of the opposite side of the triangle, we use the sin of the given angle.
To determine the length of the adjacent side of the triangle, we use the cos of the given angle.
Step 2:
In the given triangle,
The length of the opposite side = y cm,
The length of the adjacent side = x cm,
The length of the hypotenuse = 8 cm,
The angle of the triangle = 50°.
So x = 5.1416 cm and y = 6.128 cm. Rounding these off to one decimal place, we get x = 5.1 cm and y = 6.1 cm.
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.