An angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
An angle is denoted by the angle symbol ∠ which is then being followed by three letters that will represent the points that form an angle.
Lets say for example, the expression ∠ABC will mean that “the angle is formed by the points A, B and C”
where the vertex of the angle is at the point B as it is in the middle.
Angles can also be of different types like:
An Acute Angle which means an angle is less than 90 degrees.
A Right Angle which means an angle which is exactly 90 degrees.
An Obtuse Angle which is an angle more than 90 degrees and less than 180 degrees.
A Straight Angle which is an angle that is exactly 180 degrees.
And a Reflex Angle which is an angle greater than 180 degrees and less than 360 degrees.
Therefore, an angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
Learn more about angles here:
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Hi,
To find the cost before tax, we must find out how much the tax is. So we multiply 252 x .05 to get 12.6. So we know the tax was 12.6 dollars. Now all we have to do is subtract that from the total to get our answer. 252 - 12.6 = 239.4.
Have a great day!
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.
I think the answer would be like 1.5.
Answer:
Below is an image of my work
Step-by-step explanation: