b.) Using the formula from part a, calculate the retail price for each quantity range.
Answer:
since all the shoes get marked up by 80%
the equation for all of them would be :
y = new price
x = wholesale price
y = 1.8x
Step-by-step explanation:
Answer:
all work is shown/pictured
Hence Surface are of pyramid is
A pyramid with base as square is said square pyramid
Formula to calculate surface area=
where a =4 ,h=7
=
= 16+
=16+8*7.28
=16+58.24
=
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The surface area of the right square pyramid is calculated by adding the area of the square base (16 square inches) and the combined area of the triangular faces (56 square inches). Hence, the total surface area of the pyramid is 72 square inches.
To calculate the surface area of a square pyramid, you need to calculate the area of the base and the area of the four triangular sides. Firstly, the area of the square base is found using the formula A = s², where s is the side length. In this case, the base area (A) would be 4² = 16 square inches.
Secondly, to find the area of a single triangular face you use the formula A = 0.5*base*height, in this case, the base is the same as the square base and the height corresponds to the slant height (7 inches). Thus, the area for one triangle would be 0.5*4*7 = 14 square inches. As the pyramid has four equal triangular faces, to find the total area of these faces you would multiply 14 by 4 giving 56 square inches.
Finally, to find the total surface area of the pyramid, you add the base area and the area of the triangular faces together, which results in 16 + 56 = 72 square inches.
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Answer: 10.5 (equivalent to the fraction 21/2)
To get this answer, you set 10x-15 equal to 90 and solve for x. The reason why these two angles are equal is because they are vertical angles.
10x-15 = 90
10x-15+15 = 90+15 ...... add 15 to both sides
10x = 105
10x/10 = 105/10 ...... divide both sides by 10
x = 105/10
x = 21/2 is the answer in fraction form
x = 10.5 is the answer in decimal form
You'll use what the vertical angles theorem tells you to solve this.
The vertical angles theorem says that vertical angles are congruent, which is what the angle with (10x-15) and the opposite angle (90) are.
Since they are vertical angles, they are congruent so you can set up an equation where they are equal and solve for x.
(10x-15) = 90
1. Get rid of the parentheses.
10x-15 = 90
2. Add 15 to both sides.
10x = 105
3. Divide both sides by 10.
x = 10.5
Answer is:
x = 10.5