Answer:
The length of the diameter is 18 cm
Step-by-step explanation:
In this question, we are asked to calculate the diameter of a right cylinder, given that the radius and the height are equal and given the value of the surface area.
Mathematically, the surface area of a cylinder can be represented by the equation;
A = 2 π r( r + h)
since r = h, we can say h = r
Thus, the equation becomes;
A = 2 π r( r + r)
A = 2 π r(2r)
A = 4 π r^2
From the question, we can see that the value of A = 324 π
substituting this, we have;
324 π = 4 π r^2
4r^2 = 324
r^2 = 324/4
r^2 = 81
r = root of 81
r = 9 cm
The value of the diameter is two times the radius
Hence D = 2r = 2 * 9 = 18 cm
Answer: x^3 - 1 = (x - 1)(x^2 + x + 1)
Explanation:
This is a type of factorizing called the sum or difference of 2 cubes:
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
The sum of the cubes is factored as:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
In this case, we have: x^3 - 1 so follow the rule above.
x^3 - 1 = (x - 1)(x^2 + x + 1)
8x - amount of boys
7x- amount of girls
8x + 7x = 195
15x= 195 ( divide by 15)
x= 13
8x = 8 x 13 = 104
7x = 7 x 13= 91
there are 104 boys, and 91 girls.
15x = 292.50
Divide 15 from both sides
X= 5.85
1 T-shirt = $5.85
45x = 747.50
Divide 45 from both sides
X= 16.61
1 T-shirt = $ 16.61
Answer:
The WIP limit is 0.50 days.
Step-by-step explanation:
The Computation of WIP limits:
to begin with, it is required to compute the process and procedure efficiency which will be computed as follows:
Value Added Time = 12 days (arriving time)
Non-Value-Added Time = 12 days (departure time)
Efficiency = Value Added / (Value Added + Non-Value Added)
= 12 / (12+12)
= 12 / 24
= 0.50 or 50%
the most obligatory throughput time will be 0.25 days to realize the profits
WIP limit = Throughput time / Efficiency
= 0.25 / 50%
= 0.50 days.
The WIP limit is 0.50 days.
