Ideas for an one-act play?
2 answers:
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Answer:
The correct option is;
Yes, the line should be perpendicular to one of the rectangular faces
Step-by-step explanation:
The given information are;
A triangular prism lying on a rectangular base and a line drawn along the slant height
A perpendicular bisector should therefore be perpendicular with reference to the base of the triangular prism such that the cross section will be congruent to the triangular faces
Therefore Marco is correct and the correct option is yes, the line should be perpendicular to one of the rectangular faces (the face the prism is lying on).
Answers:
- 300 = 12i+36s
- i = 10
- Yes it's reasonable
- i = -11
Refer to the diagram below.
The explanation for each part is below as well.
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Part 1
i = number of individual nail polish bottles
s = number of sets of 4
12i = money earned from just selling the individual bottles only
36s = money earned from just selling the sets of 4 only
12i+36s = total money earned = 300
12i+36s = 300 is the equation to set up
This is the same as 300 = 12i+36s because A = B is the same as B = A.
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Part 2
Plug in s = 5 to represent she sold 5 sets. Let's solve for i
12i+36s = 300
12i+36(5) = 300
12i+180 = 300
12i = 300-180
12i = 120
i = 120/12
i = 10
If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.
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Part 3
Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.
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Part 4
We'll repeat part 2 but with s = 12
12i+36s = 300
12i+36(12) = 300
12i+432 = 300
12i = 300-432
12i = -132
i = -132/12
i = -11
As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.
The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.
