The area calculation for the shaded section, as seen in the attached diagram, involves subtracting the area of the kite from that of the rectangle. The area of the rectangle is calculated as (3x+x)*(x+x), which simplifies to 4x*2x, equating to 8x². The area of the kite is determined using the formula (1/2)*[d1*d2], where d1 and d2 represent the diagonals, specifically d1=4x and d2=2x. Therefore, the area of the kite becomes (1/2)*[4x*2x], leading to 4x². Consequently, the area of the shaded region can be computed as 8x²-4x², resulting in 4x². Thus, the solution is 4x².
Define x as the price for each bed sheet and y as the price for every towel. The linear equations representing the scenario are:
38x + 61y = 791.50
54x + 50y = 923
When solving for x and y in the equations, the results are x = 12 and y = 5.5. Consequently, one bedsheet costs $12, and each towel is priced at $5.5.
Answer:
12 pencils per package.
Step-by-step explanation:
Details provided:
Ethan purchased 4 packages of pencils.
Number of Packages = 4
Number of pencils shared with friend = 8 pencils
Pencils remaining = 40 pencils
∴Total Number of Pencils = Pencils given to friend + Pencils remaining = 
Total Pencils in each package = 
Answer: 56/81
Step-by-step explanation:
refer to the attached document
The question already provides multiple pieces of information. By utilizing the details given, the answer can be easily arrived at.
Lateral area of the solid = 216 cm^2
Lateral edge of the solid = 9 cm
Let's denote the length of one side of the section as x
Thus,
216 = 4s * 9
216 = 36s
s = 6
From this deduction, it is evident that the length of one side of the section is 6 cm. I trust this answer has been helpful for you.
