Answer:
I help u after my online class
Area of a circle is pi * radius² so:
1) Area = pi * 5²
= 25pi ≈ 78.54 yd²
2) Area = pi * 7²
= 49pi ≈ 153.94 cm²
Circumference is 2 * pi * radius so:
3) Circumference = 2 * pi * 10
= 20pi ≈ 62.83 mi
4) Circumference = 2 * pi * 3.3
= 6.6pi ≈ 20.73 in
Volume of a rectangular prism is length * width * height
5) Volume = 10 * 3 * 10
= 100 * 3
= 300 yd³
6) Volume = 5 * 7 * 5
= 35 * 5
= 175 in³
Not completely sure on the triangular prisms though. I'm almost certain the formula is 1/2 * height * base 1 * base 2 though
Answer:
a. 0.45 customers
b. 0.0145 hours
c. 1.05 customers
Step-by-step explanation:
Missing word "A vending machine dispenses hot chocolate or coffee. service time is 30 seconds per cup and is constant. customers arrive at a mean rate of 72 per hour, and this rate is Poisson-distributed."
λ = 72 customers per hours
μ = 120 customers per hours
a. Lq = λ²/ 2μ(μ-λ)
Lq = 72² / 2(120)(120-72)
Lq = 9/20
Lq = 0.45 customers
b. Ws = Wq + 1/μ = Lq/λ + 1/μ
Ws = 9/20 customers/72 customers + 1/120 customers
Ws = 0.0145 hours
c. Ls = Lq + r
Ls = 9/20 + 72/120
Ls = 1.05 customers
Answer:
profit = $1.57
Step-by-step explanation:
2.00-0.43=1.57
Answer:
A) √3
Step-by-step explanation:
The tangent of an angle can be found by dividing the leg opposite the angle over the leg adjacent to it.
So, we have to find them.
The 30-60-90 rule says that in a right triangle with the angles 30°, 60° and 90°, the sides opposite those angles will have the ratio of 1:√3:2.
That means the side adjacent to 60° is 2 units long and the one opposite is 2√3 units long.
Dividing those two gives us (2√3)/2, which can be simplified to √3.