Diameter of the basketball rim = 18 inches
Circumference of the standard basketball = 30 inches
Area of circle = π r²
Basketball rim = 3.14 * (18/2)² = 3.14 * 9² = 3.14 * 81 = 254.34 in²
Circumference of a circle = 2 π r
30 = 2 * 3.14 * r
r = 30 / (2*3.14) = 30 / 6.28 = 4.78 inches
Standard basketball = 3.14 * (4.78)² = 3.14 * 22.85 = 71.75 in²
254.34 - 71.75 = 182.59 in²
The answer is B. Adjacent angles. They both have a meeting point and don't overlap.
The answer isn't A. because both angles don't add up to 90°.
The answer isn't C. because both angles aren't 90°.
The answer isn't D. because both angles don't add up to 180°.
Hope this helps! :)
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Here is the solution based on the given situation above.
Given: 450 kg = weight limit of the elevator
750 kg = current weight of the group of passengers
? = number of passengers who weigh 70 kgs that need to get off the elevator
So to get the answer, first we need to deduct 450kg from 750 kgs to get the excess weight. So 750 - 450 is 300kgs. Next, we divide 300 by 70kgs to get the number of passengers that need to get off so 300/70 is 4.3. Therefore, there should be 4 passengers who weigh 70 kilograms that need to get off the elevator.
From 2000 to 2011, there are 11 years. From the given function, we can calculate the profit for a small business at the end of 2011 by substituting 11 to the x of the given equation.
y = (30,000)(1.06)(11)
y = 349,800
Thus, the profit at the end of 2011 is approximately $349,800.
<u>Answer:</u>
E(n) = n + 5
<u>Explanation:</u>
The profit is the difference between the amount of money received as a revenue and the amount of money spent as expenses.
<u>This means that:</u>
Profit = Revenue - Expenses
<u>Rearrange the formula to solve for the expenses, we get:</u>
Expenses = Revenue - Profit
<u>We are given that: </u>
Revenue = R(n) = 18n
Profit = P(n) = 17n - 5
<u>Substitute in the above formula to get the formula for expenses as follows:</u>
E(n) = R(n) - P(n)
E(n) = 18n - (17n-5)
E(n) = 18n - 17n + 5
E(n) = n + 5
Hope this helps :)
