Answer:
Step-by-step explanation
The given point 
tells us that the terminal side of 
is in the fourth quadrant.
From the diagram in the attachment,
We can use the Pythagoras Theorem to find the length of the hypotenuse of the right triangle.
Let the hypotenuse be 
. Then,
Now we use the sine ratio;
.
But since the terminal side of is in the fourth quadrant, the sine ratio must be negative.
This implies that;
.
We rationalize the denominator to get;
.
Answer:
0.0245
Step-by-step explanation:
1. Divide 2.45 by 100 since you are finding it as a percent, which is 100.
Answer:
f(5) = 21
Step-by-step explanation:
Step 1: Define
f(x) = 6 + 3x
f(5) is x = 5
Step 2: Substitute and Evaluate
f(5) = 6 + 3(5)
f(5) = 6 + 15
f(5) = 21
Answer:
Half of year 2043
Step-by-step explanation:
The function is: f(x) = 3.5√x + 38
where f(x) represents the percentage of U.S. women in the labor force x years after 1960.
Replacing f(x) = 70 and isolating x, we get:
70 = 3.5√x + 38
3.5√x = 70 - 38
√x = 32/3.5
x = 9.14²
x = 83.5
This means, in year 1960 + 83.5 = 2043.5, that is, at half of year 2043
Answer:
6c^2(-40 + 5c^3 + 3c^2)
Step-by-step explanation:
These three terms have the common factor c^2. Thus:
-240c^2+ 30c^5+ 18c^4 = c^2(-240+ 30c^3+ 18c^2).
Recognizing that 6 is common to all three terms inside the parentheses, we get:
6c^2(-40 + 5c^3 + 3c^2) This is as far as factoring of this expression can be taken.
