Answer:
5 - 3
Step-by-step explanation:
Answer:
A special drill is used at a construction site to dig holes. A hole is dug to a depth of 2.75 feet when the drill hits rock. The progress slows to 5/6 feet per hour of digging. The depth of the hole must be at least 10 1/2 feet by the end of the day to stay on schedule. What is the minimum amount of time the drill must continue at its present rate to complete the hole on schedule? Select from the drop-down menus to correctly complete the statement.
Answer:
63 yd²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = h (a + b)
where a and b are the parallel bases and h the perpendicular height.
Here a = 8, b = 10 and h = 7, thus
A = 0.5 × 7 × (8 + 10) = 0.5 × 7 × 18 = 63 yd²
Answer:
Parallel: y = -5x - 34 ; Perpendicular: y = 1/5x - 14/5
Step-by-step explanation:
Lines that are parallel have the same slope. Lines that are perpendicular have opposite reciprocal slopes. (Ex. 1/3 ⇒ -3)
We need to substitute the given values into the point-slope form equation.
Parallel:
y + 4 = -5(x + 6)
y + 4 = -5x - 30
y = -5x - 34
Perpendicular:
y + 4 = 1/5(x + 6)
y + 4 = 1/5x + 6/5
y = 1/5x - 14/5
During a research experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size. At 8:00 AM there were 6,000