Uh do you mean he earned $225 per week?
If yes, then he earned 45 per day.
The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444
Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
Answer:
x = 18
m∠HCB = 36
Step-by-step explanation:
The measure of angle FBC is 8x and the measure of angle HCB is 2x. If you add the measures of both angles it will equal to 180 degrees. This can be represented in an equation:
8x + 2x = 180
10x = 180
Divide both sides of the equation by 10 to isolate the x:
10x/10 = 180/10
x = 18
Now that we know the value of x, we can find the measure of angle HCB:
2x
2(18)
36
The measure of angle HCB is 36.
I hope this helps :)
Answer:
Pythagoras Theorem
Step-by-step explanation:
Like you rightly stated, in a right angled triangle. The phenomenon you mentioned is what us called Pythagoras theorem which proved to us that the square of the length of the hypotenuse of a right angled triangle, is equal to the square of the length of the opposite side to the angle in question, and also to the square of the length of the side adjacent to the same angle in question.
Essentially,
a² + b² = c², where c is the hypotenuse and a & b is the length of the two other sides
