A farmer packs 12 apples in each box.If the farmer has 4272 apples,how many boxes does she needs?
2 answers:
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Answer:
x ≈ 16.52
Step-by-step explanation:
Use the tangent ratio in the right triangle to find x
tan36° = =
Multiply both sides by x
x × tan36° = 12 ( divide both sides by tan36° )
x = 12 / tan36° ≈ 16.52 ( to 2 dec. places )
Answer:
The function is represented by .
Step-by-step explanation:
In this case, we must observe that total cost of the dog () is the sum of two components: i) <em>Fixed cost</em> (
) - Adoption fee, ii) <em>Variable cost</em> (
) - Daily cost of feeding the dog, both measured in US dollars.
In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:
Where:
- Number of days that Kirstin owns her dog, measured in days.
- Daily feeding costs, measured in US dollars per day.
If , then:
The function is represented by .
Answer:
8.2 *10^5 ft lb
Step-by-step explanation:
Wcoal = 800*500 = 400000 = 4*10^5 ft lb
Using a right Riemann sum
The width of the entire region to be estimated = 400 - 0 = 400
Considering 8 equal subdivisions, then the width of each rectangular division is 400/8 = 50
F(x) = 6(400-y)
Wrope = 50(2100) + 50(1800) + 50(1500) + 50(1200) + 50(900) + 50(600)
+ 50(300) + 50(0) = 420000 = 4.2 * 10^5 ft lb
Note: Riemann sum is an approximation, so may not give a accurate value
work done = Wcoal + Wrope= 4*10^5+ 4.2 * 10^5 = 8.2 *10^5 ft lb