Answer:
26.8°
Step-by-step explanation:
The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.
If cos B = 0.8926
then arc cosine 0.8926 which may be expressed as cos-1 0.8926 will give the value of B.
B = cos-1 0.8926
= 26.8°
For this case we have the following definitions:
A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.
A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.
We then have the following function:
Applying the definitions we have:
Answer:
The function is not odd because it is fulfilled:
Therefore, the function is even.
Answer:
A
Step-by-step explanation:
Looking at the function, we have;
V(t) = 1,000(1.06)^t
Mathematically, the amount earned on an investment that offers a particular constant percentage return to a particular number of years can be written as;
V = I(1 + r)^t
where V is the value of the investment after some certain number of years
I is the initial amount invested
r is the constant percentage increase
and t is the number of years.
Let’s now re-write what we can deduce in the question.
This is;
V(t) = 1000(1 + 0.06)^t
Thus what this 0.06 represents is r which is the constant interest rate
6x²-5x+1
=6x²-3x-2x+1
=3x(2x-1)-1(2x-1)
=(3x-1)(2x-1)
Answer:
a. 8
b. 114
Step-by-step explanation:
a.
36/6 = 48/x
36x = 288
x = 8
b.
12/72 = 19/x
1/6 = 19/x
x = 114
