For a complimentary pair of angles i.e a+b=90 degrees, then cos a= sin b
so;
3x+2=4x-10
2+10=4x-3x
x=12.0
Let the numbers be x and y. They differ by 46. Then x = y + 46.
Their product is P = xy. Since x = y + 46, P = xy = (y + 46)y, or
P = y^2 + 46y. You could graph this and then identify the coordinates of the vertex, which would give you the minimum value of P.
Or you could differentiate P(y) with respect to y, set the result = to 0, and solve for y:
2y + 46 = 0; y = -23. x = y + 46, or +23.
The vertex of the graph of this parabola represents the minimum value of the product P. It is (23, 46), and 46 is the smallest possible product here.
Answer:
4.08 inches.
Step-by-step explanation:
A cube has six sides, and each of the sides has area of , where is the length of the edge of the cube.
Thus the total surface area of the cube is
Now we are told that this surface area is 100 square inches, therefore , and now we can solve for :
Simplify 3 to 12
Divide 3
1 to 4
So the answer is 1 car accident in 4 month
~JZ
Hope it helps you out there
Answer is provided in the image attached.