A right retangular prism is 10 1/2 m wide 15 1/2 m long and 3 m tall what is the volume of the prism
1 answer:
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The series is an arithmetic series with first term -10 and common difference (-2-(-10))=8. The general term a_n can be written as
a_n = -10 + 8(n-1)
or
a_n = -18+8n
The last term corresponds to
110 = -18+8n
128 = 8n
16 = n
So, the summation can be written as
a_n = -10 + 8(n-1)
or
a_n = -18+8n
The last term corresponds to
110 = -18+8n
128 = 8n
16 = n
So, the summation can be written as
Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
Answer:
Workers of army contract were more productive.
Step-by-step explanation:
To determine on which contract the workers were more productive compute the work done per hour by the workers for both contracts.
- <u>Navy Contract</u>:
Number of devices = 2,300
Number of workers = 25
Number of weeks = 2 weeks
Number of hours per week = 40
The number of hours it took 25 workers to produce 2300 devices is =
Then number of devices produced in 1 hour is =
- <u>Army Contract</u>:
Number of devices = 5,500
Number of workers = 35
Number of weeks = 3 weeks
Number of hours per week = 40
The number of hours it took 35 workers to produce 5500 devices is =
Then number of devices produced in 1 hour is =
The workers for the army contract are more productive since they produce 1.31 devices per hour whereas the workers for navy contract produces 1.15 devices per hour.