Answer:
Step-by-step explanation:
we know that
The volume of the square pyramid is equal to
we have
----> the length of the base of the square pyramid
---> the height of the pyramid
substitute the values in the formula
Answer:
12565.11 teeth approximately cut cross the cutting surface per seconds.
Step-by-step explanation:
Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).
The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw
Number of teeth on saw = 12 x 10π = 120π.
To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.
So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33
Therefore, we have
33.33 x 120π ≈ 12565.11 teeth
Answer:
The probability that the town has 30 or fewer residents with the illness = 0.00052.
Step-by-step explanation:
So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.
The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.
Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.
Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness = e^-λ × λ^x/ x!
Answer:
The distance reduces to 0 as you go from 0° to 90°
Step-by-step explanation:
The question requires you to find the distance using different values of L and check the trend of the values.
Given C=2×pi×r×cos L where L is the latitude in ° and r is the radius in miles then;
Taking r=3960 and L=0° ,
C=2×
×3960×cos 0°
C=2××3960×1
C=7380
Taking L=45° and r=3960 then;
C= 2××3960×cos 45°
C=5600.28
Taking L=60° and r=3960 then;
C=2××3960×cos 60°
C=3960
Taking L=90° and r=3960 then;
C=2××3960×cos 90°
C=2××3960×0
C=0
Conclusion
The values of the distance from around the Earth along a given latitude decreases with increase in the value of L when r is constant
Answer:
x=-46/5
Step-by-step explanation:
1. subtract either 5/6 or add 3 for each side.
2. combine terms
3. x=-46/5
