Answer:
The total profit P(x) or the month is .
Step-by-step explanation:
A company produces x units of a product per month.
The total cost represents by the function C(x).
The total revenue represents by the function R(x).
The profit is the difference between revenue and cost.
Combine like terms.
Therefore, the total profit P(x) or the month is .
Answer:
149.30ft
Step-by-step explanation:
Since the vertical distance between the two tower = 40ft
The angle of elevation from the lower tower to te higher tower = 15°
The horizontal distance between the two towers = x
Assuming the angle of elevation and the distance between the two towers makes a right angle triangle, we can use SOHCAHTOA and determine which one would be suitable to find x.
Check attached document for better illustration of the triangle.
Tanθ = opposite / adjacent
Opposite = 40
θ = 15°
Adjacent = x
Tan15 = 40 / x
0.2679 = 40 / x
X = 40 / 0.2679
X = 149.30ft
The horizontal distance between the two towers is 149.30ft
<u>Question 6</u>
1) ,
, O is the midpoint of
,
(given)
2) are right angles (perpendicular lines form right angles)
3) are right triangles (a triangle with a right angle is a right triangle)
4) (a midpoint splits a segment into two congruent parts)
5) (LL)
<u>Question 7</u>
1) are right angles),
2) (reflexive property)
3) are right triangles (a triangle with a right angle is a right triangle)
4) (LL)
5) (CPCTC)
<u>Question 8</u>
1) , point D bisects
(given)
2) are right angles (perpendicular lines form right angles)
3) are right triangles (a triangle with a right angle is a right triangle)
4) (definition of a bisector)
5) (reflexive property)
6) (LL)
7) (CPCTC)