Answer: Volume = 81 cubic inches
Step-by-step explanation:
Given that each cube has length = 3/4 inches
The height H = 3/4 × 8 = 6 inches
Where 8 = number of cubes
The length L = 3/4 × 6 = 4.5 inches
Where 6 = number of cubes
The width W = 3/4 × 4 = 3 inches
Where 3 = number of cubes
The volume V = L × W × H
Substitute all the parameters into the formula
V = 4.5 × 3 × 6 = 81 cubic inches
Therefore, the volume of the rectangular prism is 81 cubic inches
Answer:
Answer: Volume = 81 cubic inches
Step-by-step explanation:
Given that each cube has length = 3/4 inches
The height H = 3/4 × 8 = 6 inches
Where 8 = number of cubes
The length L = 3/4 × 6 = 4.5 inches
Where 6 = number of cubes
The width W = 3/4 × 4 = 3 inches
Where 3 = number of cubes
The volume V = L × W × H
Substitute all the parameters into the formula
V = 4.5 × 3 × 6 = 81 cubic inches
Therefore, the volume of the rectangular prism is 81 cubic inches
Step-by-step explanation:
Answer:
im pretty sure...
15m+5n
Step-by-step explanation:
you multiply 5&3 and since there is no number by the variable n just put 5 by it...
15m+5n is the right answer bb :)
Length
Largest area:
The area of the farm is the amount of space on the farm.
Given
--- the perimeter
Because one side of the farm is a river, the perimeter is calculated as:
So, we have:
Make W the subject
The area of the farm is:
Substitute
Differentiate, and set the result of the differentiation to 0
Solve for L
Divide by 4
Solve for W
Solve for A
Hence,
Read more about areas and perimeters t:
Answer:
Step-by-step explanation:
Alright, lets get started.
Suppose the width is W.
Suppose the length is L.
Total fence is given as 300, so
......................(1)
Plugging the value of L from equation (1)
For Area to be maximized, derivative of area should be equal to zero.
Means :
So,
So,
So, Largest area= : Answer
Step-by-step explanation:
as I can see this the answer is
x = 25/78
in decimal
x = 0.320
The problem involves joint variation with variables y, x, and z. After finding the constant of variation, we substitute the given values into the joint variation equation and determine that x = 16.67
First, we establish the equation of joint variation, which in this context is y = kxz, where 'k' is the constant of variation. When y=13, x=26, and z=6, we insert these values into the equation to solve for 'k'. This gives us k = y/(xz) = 13/(26*6) = 0.08333.
Now that we have the constant 'k', we can find the value of 'x' when y=25 and z=18. We rearrange our equation to solve for 'x', resulting in x = y/(kz). Substituting the known values, we get x = 25/(0.08333*18) = 25/1.5 = 16.67. Therefore, if y varies jointly with x and z, and y=25 when z=18, then x = 16.67.
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