Answer: k < 3.5
explanation: < means less than and > means more than and = means equal to so k < (less than) 3.5
You would use the tangent first, because the opposite of 40 would be x and the adjacent would be 30ft
We need to solve the speed formula for d. To do so, let's start by moving the number of the left hand side:
Square both sides to get rid of the square root:
Now plug the known value of the speed to find the distance:
So the closest answer is the last one: d=0.155km
Answer:
The answer to your question is the first graph in the second line.
Step-by-step explanation:
First graph in the first line: it shows a positive graph that intercepts the y-axis in 5, then this graph is not the correct answer.
Second graph in the first line: it shows a negative graph, this option is incorrect, we look for a positive graph.
First graph in the second line: is correct because is a positive graph and intercpts the y-axis in 4.
Second graph in the second line: is incorrect although it is a positive graph, it intercepts the y-axis in 3.
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.
