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.
Both Jonathan and Seth completed their laps in 2 minutes each.
Respuesta:
P = 2/7 = 0.2857 o 28.57%
Explicación paso a paso:
En primer lugar, sabemos que hay 15 bolas y necesitamos identificar cuáles son pares y superiores a 10.
Por lo tanto, debemos calcular inicialmente la probabilidad de que el número obtenido sea par.
Los números pares son 2, 4, 6, 8, 10, 12, 14
Contamos 7 números de 15 ---> P(B) = 7/15
De esos números, solo dos son mayores a 10, que son 12 y 14, así que: P(A|B) = 2/15
Para encontrar la probabilidad de obtener un número par mayor que 10:
P(A/B) = P(A|B) / P(B)
P(A/B) = 2/15 / 7/15 = 2/7 = 0.2857
Para calcular el porcentaje: 0.2857 * 100 = 28.57%.
Answer:
The rotation angle measures 2.11 °
Step-by-step explanation:
Stated as follows:
The radius of the circular path = r = 18 feet
The distance rolled by the wheel = l = 38 feet
Let us denote the angle of rotation as Ф
Now, according to the problem:
∵ the length of an arc at the center corresponds to an angle Ф
Thus,
distance rolled by the wheel = π × radius × 
As 180° represents π radians
And π approximates to 3.14
Thus, distance rolled by the wheel = 180 °× radius × 
That is l = r × Ф
So, Ф = 
Consequently, Ф = 
Therefore, Ф = 2.11 °
Thus, the rotation angle is Ф = 2.11 °
Hence, the rotation angle is 2.11 ° Answer