Answer:
The answer is option B
Step-by-step explanation:
To find cos 45° we must first find the adjacent and the hypotenuse
Let the adjacent be x
Let the hypotenuse be h
To find the adjacent we use tan
tan ∅ = opposite / adjacent
From the question
the opposite is 9
So we have
tan 45 = 9 / x
x tan 45 = 9
but tan 45 = 1
x = 9
Since we have the adjacent we use Pythagoras theorem to find the hypotenuse
That's
h² = 9² + 9²
h² = 81 + 81
h² = 162
h = √162
h = 9√2
Now use the formula for cosine
cos∅ = adjacent / hypotenuse
The adjacent is 9
The hypotenuse is 9√2
So we have
cos 45 = 9/9√2
We have the final answer as
<h3 /><h3>cos 45 = 1 / √2</h3>
Hope this helps you
Profit is total revenue minus total cost. So, the profit for each row of data is:
Quantity | Profit
0 | 30 (loss)
1 | 30
2 | 160
3 | 190
4 | 260
5 | 300
6 | 310
7 | 290
The company has to produce 6 quantities to maximize profit.
Answer:
A’ (6,-2)
B’ (1,3)
Step-by-step explanation:
Here, we want to give the coordinates after a counterclockwise rotation of 90 degrees
Given a point with coordinates (x,y)
A counterclockwise rotation at 90 degrees to the origin will yield the coordinates (-y,x)
So A (-2,-6) will be A’ (6,-2) while B (3,-1) will be B’ (1,3)