Answer:
A. 3.66 feet
Step-by-step explanation:
Using trigonometry, we know that ...
BC = DC·tan(30°)
AC = DC·tan(45°)
AB = AC -BC = DC(tan(45°) -tan(30°))
AB = 5√3·(1 -√3/3) = 5(√3 -1)
AB ≈ 3.66 . . . feet
Answer:
B.
Step-by-step explanation:
The negative of a negative is a positive, so B is your choice. Think of it anothe way, if it helps. Imagine that the expression is this:
(-2) + (-1)(-3) since every subtraction problem can be rewritten as an addition problem.
We would first, by orders of operation, multiply the -1 and the -3 getting 3. Then the problem would simplify down to -2 + 3
Just another idea to ponder...
3/4
when it’s parallel it has the same slope!
The minimum cost option can be obtained simply by multiplying the number of ordered printers by the cost of one printer and adding the costs of both types of printers. Considering the options:
69 x 237 + 51 x 122 = 22,575
40 x 237 + 80 x 122 = 19,240
51 x 237 + 69 x 122 = 20,505
80 x 237 + 40 x 122 = 23,840
Therefore, the lowest cost option is to buy 40 of printer A and 80 of printer B
The equation, x + 2y ≤ 1600 is satisfied only by options:
x = 400; y = 600
x = 1600
Substituting these into the profit equation:
14(400) + 22(600) - 900 = 17,900
14(1600) + 22(0) - 900 = 21,500
Therefore, the option (1,600 , 0) will produce greatest profit.
