Answer: at least, 2931 board feet
Step-by-step explanation:
Let x represent the number of board-feet of lumber yards that is produced and sold in a day
The lumber yard has fixed costs of $3810.30 per day and variable costs of $0.91 per board-foot produced. It means that the cost of producing x board-feet of lumber yards is
0.91x + 3810.3
Lumber sells for $2.21 per board-foot. It meas that the revenue from selling x board feet of lumber yard is 2.21x.
Profit = Revenue - total cost
In order to make profit, Revenue must be greater than total cost. Therefore,
2.21x ≥ 0.91x + 3810.3
2.21x - 0.91x ≥ 3810.3
1.3x ≥ 3810.3
x ≥ 3810.3/1.3
x ≥ 2931
The number of board-feet of lumber yard that must be sold to make profit is at least 2931
Central angle is twice an inscribed angle subtended by the same arc.
Therefore ∠CAB = 2∠CDB.
∠CAB = 45° → ∠CDB = 45° : 2 = 22.5°
Answer: C.
Answer:
Y = 3x
Step-by-step explanation:
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Answer:
height of the flagpole = 93.26 ft
Step-by-step explanation:
The illustration forms a right angle triangle. The angle of elevation from his eyes to the flag is 25° . The distance from his eyes at the ground to the base of the flagpole is 200 ft.
The adjacent side of the triangle formed is the distance of his eyes from the flagpole. The height of the flagpole is the opposite side of the right angle triangle formed.
using tangential ratio
tan 25° = opposite/adjacent
tan 25° = x/200
cross multiply
200 tan 25° = x
x = 200 × 0.46630765815
x = 93.261531631
x = 93.26 ft
height of the flagpole = 93.26 ft
