Use the Law of Sines:
600 a
---------- = ---------- where 94 came from subtracting (11 + 75) from 180.
sin 11 sin 94
Solve this for side a.
Answer:

Step-by-step explanation:
The profit function is:

Where
P is the profit
and
d is the number of units sold
Now, there is a 50% increase in number of units sold, so d will become:
50% = 50/100 = 0.5
d + 0.5d = 1.5d
So, we have to replace "d" with "1.5d" in the function, which makes it:

From the equations shown, last answer choice is correct.

Answer:
x = 5
Step-by-step explanation:
Also in this case we can use the Pythagorean theorem in this way
x^2 + (5√3)^2 = 10^2
x^2 + 75 = 100
x^2 = 25
x = +/- 5
we take only the positive value because a lenght can’t be negative
x = 5
Answer:
135
Step-by-step explanation:

Answer:
The rug will fit on the floor of her room
Step-by-step explanation:
The floor's area is given as 108
Will the rug fit this area of 108 sq. ft.?? We have to find the area of the rug and if it is less than 108, then definitely it will fit.
The rug is in the shape of a rectangle. The area of a rectangle is length times width.
Given length 10 and width 6, the area is:
Area of Rectangle = 10 * 6 = 60
Area of Rug = 60
Is 60 less than 108?? Yes, definitely!
The rug will fit on the floor of her room