The length of each side of the square is 3 ft.
<u>Step-by-step explanation:</u>
We have , A composite figure is formed by combining a square and a triangle. Its total area is 52.5 ft. The area of the triangle is 43.5 ft . We know that area of a square = . According to question:
area of square =
area of triangle = 43.5 ft
total area = 52.5 ft.
Total area = area(square+triangle)
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Therefore, the length of each side of the square is 3 ft.
The sum of 12 and x squared is
Half that sum is
If we decrease this quantity by 1/3 x we have
Answer:
,
Step-by-step explanation:
The equations of volume and surface area are presented below:
The length of the tank is:
The expression fo the surface area is therefore simplified into an univariable form:
The first and second derivatives of the expression are, respectively:
The first derivative is equalized to zero and length of the square side is now found:
Now, the second derivative offers a criteria to determine if solution leads to an absolute minimum:
(Absolute minimum)
The depth of the tank is:
The total amount charged for each work can be expressed by the equation : 100 + 5x
Fixed charged per work = 100.00
Charge per page printed = 5.00
<u>Let the number pages printed be represented as x :</u>
Total amount charged for n pages can be related thus :
Fixed charge per work + (cost per page × number of pages)
100 + 5x
Therefore, the total amount charged can be expressed with the equation 100 + 5x
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Answer:
$7300
Step-by-step explanation:
For Chris to select plan A, Plan A salary should be greater than that of plan B. Let the amount of sales be x