Answer:
Step-by-step explanation:
The rectangle has been split into two right triangles. The hypotenuse of the triangle (the diagonal) is 18. The angle in the triangle is 30. All right triangles have unique relationships between their sides depending on the angles. This triangle must be a 30 - 60 - 90 triangle and its sides will be a scaled version of 
.
The side 2 correspond to the hypotenuse of length 18. 2*9 = 18 and so the scale factor is 9. To find the remaining sides, multiply each side length by 9 from .
It becomes 
. So the rectangle is 9 by 
.
The perimeter of the rectangle is 
Answer: -54
Step-by-step explanation:
The question is the first term of a geometric sequence is −2 and the common ratio is 3. The formula for finding the nth term of a geometric sequence is: ar^n-1
where,
a = first term = -2
r = common ratio = 3
n = number of terms = 4
The solution has been attached. The answer is -54
It would be 20 each person. But, I don't think you completed the question.
Step-by-step explanation:
Given data
C(x)=12x+114
R(x)=6x.
The company will start to run on profit just when revenue equals the production cost, that is
C(x)=R(x)
equating the two expressions we have
12x+114=6x
solving for x we have
12x-6x+114=0
6x+114=0
6x=-114
x=-114/6
x=-19
Hence the company will start to run on proft when they start to produce above 19 items
