It costs $3.63 more for the gold die than the gold plated die.
The volume of each half of the die is given by the formula
V=1/3s³.
This means the total volume is V = 2(1/3s³) = 2(1/3(2³)) = 16/3 = 5.33 mm³.
For the solid gold die, we know that it weighs 0.02g per mm³:
5.33(0.02) = 0.1066g
Gold costs $40.38 per gram:
40.38(0.1066) = $4.30
For the plastic die, plastic weighs 0.01 g per mm³:
0.01(5.33) = 0.0533g
Plastic costs $10 per gram:
0.0533(10) = 0.533 ≈ $0.54.
We also need to find the surface area, as it will be painted. Each face is an equilateral triangle; the area of a triangle is given by the formula
A = 1/2bh
We need to use the Pythagorean theorem to find the height. The height will be one leg and 1/2 of the base will be the other; the slanted side will be the hypotenuse:
h² + (1/2(2))² = 2²
h² + 1² = 2²
h² + 1 = 4
h² = 3
h = √3
The area of the triangle would then be A = 1/2bh = 1/2(2)(√3) = √3. There are 8 such faces on the die, so the total surface area would be 8√3 = 13.86mm².
Paint costs $0.01 per mm²:
13.86(0.01) = 0.1386 ≈ $0.14
Together the cost for the plastic is 0.14+0.53 = $0.67.
The difference between it and the cost for the gold die is 4.30 - 0.67 = $3.63.
The sale price after both markdowns will be $336
<em><u>Explanation</u></em>
The selling price of an item is $600. After 6 months of not selling, it is marked down by 30%
So, the marked down amount after 6 months 
and the selling price after first 6 months will be: 
After another 6 months of not selling , it is further marked down by 20%. So, the marked down amount now 
Thus, the final selling price after all markdowns 
Answer:
y = 8x + 21
Step-by-step explanation:
Answer:

Step-by-step explanation:
It's important to note that when two angles create a straight line, they are supplementary.
This means their angle measures add up to 180° since a 180° angle is a straight line.
Since we know the measures of both angles in equation form, we can add them together and have them equal 180 to solve for x.

Combine like terms:

Subtract 27 from both sides:

Divide both sides by 9:

So x = 17.
Hope this helped!