Answer:
105 pi m^2
Step-by-step explanation:
radius squared - radius squared =
(16+3)^2 - 16^2 =
19^2 - 16^2 =
361-256= 105
Answer:
95.49°
Step-by-step explanation:
The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians. Here, r = 9 ft and s = 15 ft. Thus, the central angle Ф is
Ф = (15 ft) / (9 ft) = 5/3 radians, or
5 rad 180°
------- * ---------- = 95.49°
3 π rad
The number of seats sold cannot be negative, so you have
... x ≥ 0, y ≥ 0
The limits on numbers of seats must be observed, so you have
... y ≤ 2000
... x + y ≤ 3000
And the revenue constraint must be met:
... 35x + 50y ≥ 90,000
Together, these inequalties are ...
{x ≥ 0, y ≥ 0, y ≤ 2000, x + y ≤ 3000, 35x + 50y ≥ 90,000}
X = -33 + 42
x = 42 - 33
x = 9
Since we are already given with the formula to solve for the coordinates of point L, all we have to do is to perform the necessary operation in the item. The formula for the coordinates of the midpoint is, M = ((5 + 1) / 2 , (3 - 7) / 2)performing the operation, M = (3, -2)Thus, the coordinates of point L are (3,-2).
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