Kai has been saving up money to buy a new backpack that is originally priced at $88.95. The store is having a 40% off end-of-sea
2 answers:
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Function: (maximum number of packages: 160)
Step-by-step explanation:
In this problem, we have:
is the capacity of the truck (the amount of mass that can be stored in the truck)
p = 50 kg is the mass of each package that need to be stored in the truck
We can find the number of packages that can be transported as follows: calling this number x, the total mass of x packages is
This amount should be at most equal to the capacity of the truck, therefore:
And substituting the numbers,
And solving the equation, we can found the number of packages that can fit into the truck:
Learn more about equations:
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Answer:
2 - sqrt(3)
Step-by-step explanation:
Split pi/12 into two angles where the values of the six trigonometric functions are known.
tan (pi/4 - pi/6)
Apply the difference of angles identity
tan(pi/4) = 1 , tan(pi/6) = (sqroot3)/3
Plug in and Simplify
Need to multiply this by
Expand and simplify numerator:
Expand and simplify denominator:
Cancel the common factor: