If the sine if 4/5, then the side opposite is 4 and the hypotenuse is 5. This means it's the 3, 4, 5 right triangle (or similar, such as 6, 8, 10).
cos = 3/5
tan = 4/3
cot = 3/4
sec = 5/3
csc = 5/4
Answer:
A) Isaac should get £ 10.75 in change.
B) The price of the e-scooter in the sale is £ 366.3.
Step-by-step explanation:
A) Given that Isaac buys 17 anti-pollution masks for £ 5.25 each, and he pays with five £ 20 notes, to determine how much change Isaac should get, the following calculation must be performed:
(20 x 5) - (17 x 5.25) = X
100 - 89.25 = X
10.75 = X
So Isaac should get £ 10.75 in change.
B) Given that the normal price of an e-scooter is £ 370 and, in a sale, there is 1 off the normal price of the e-scooter, to determine the price of the e-scooter in the sale the following calculation must be performed:
370 - (370 x 0.01) = X
370 - 3.7 = X
366.3 = X
Thus, the price of the e-scooter in the sale is £ 366.3.
Answer:
C) The expected value is -$2000, so the detective should not take the job.
Step-by-step explanation:
The expected value is the sum of products of income and probability:
E = -10,000·1.00 + 80,000·0.10 = -10,000 +8,000 = -2,000
The detective can be expected to lose money on the job, so should not take it.
Let the number of Go-go scooter to be produced be x and that of Whip scooter y, then
Maximize: R = 3200x + 5000y
subject to:
x + y ≤ 120
3x + 6y ≤ 600
The corner points of the constraints are (0, 0), (0, 100), (40, 80), (120, 0)
For (0, 0): R = 0
For (0, 100): R = 3200(0) + 5000(100) = 500,000
For (40, 80): R = 3200(40) + 5000(80) = 528,000
For (120, 0): R = 3200(120) + 5000(0) = 384,000
Therefore, for maximum revenue, they should produce 40 Go-go scooters and 80 Whip scooters.
Answer:
Step-by-step explanation:
A, 1, not
2, not
3, yes
B, 1, 5.7
2, 5.0
