The diagram below illustrates the issue at hand.
Question 1:
The maximum area of the pool equals half the area of the circle.
To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.
Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).
Question b:
To find the pool's area, we take the circle's area and subtract the triangle's area.
The area of the circle is 11309.73 square feet.
For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.
The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.
Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.
Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.
The formula for gravitational force is F = G * m1 * m2 / r². The gravitational constant is G = 6.67 * 10^(-11) m³/kgs². Thus, we find r = sqrt(G * m1 * m2 / F) = sqrt(6.67 * 10^(-11) m³/kgs² * 1.3 * 10^(22) kg * 1.6 * 10^(21) / 3.61 * 10^(18) N) = sqrt(3.84 * 10^(14)) = 1.96 * 10^(7) m, which is approximately 2 * 10^(7) m.
Approximate length of wire ≈ 193 ft (to the nearest foot).
Answer:
The artist begins to profit when n > 8.18
That means the quantity of necklaces must exceed 8.18.
Step-by-step explanation:
Given
let n represent the number of necklaces
booth fee= $135
The expense for materials per necklace = $4.5n
the overall selling price for all necklaces = $12n
total costs= booth fee + material costs = $135 + 4.5n
profit = selling price - total costs
12n > 135 + 4.50n
By solving for n, we find
12n=135 + 4.50n
12n + 4.5n = 135
16.5n = 135
n = 135/16.5
n = 8.18
Hence, the artist achieves profits when n > 8.18.