Given:
Required:
To calculate reference angle
Explanation:
Required answer:
Option B
Answer:
Step-by-step explanation:
The given trigonometric equation is
for 
.
We divide through by 5 to get;
We take the inverse tangent of both sides to obtain;
Since the tangent ratio is positive, it means 
could also be in the 3rd quadrant. But this is outside the given range.
Therefore the correct answer is A
Firstly, we will let this mystery number we are finding be labelled as x. Double this number can be written as 2x. 5 less than double this number is written as 2x - 5. And because this number is between -7 and 13, we have the full inequality, -7 < 2x - 5 < 13.
To solve this inequality, we want to isolate x, so we add 5 to all 3 parts of the inequality. Doing so cancels out the - 5 in the middle, so our new inequality is -2 < 2x < 18. Now we want to divide all 3 parts of the inequality by 2 to isolate x, so now our final inequality is -1 < x < 9. Thus, we can say that x is between -1 and 9.
Answer:
32.4
32.4 is 45% of 72
Step-by-step explanation:
Solution:
What is 45% of 72?
Y is 45% of 72
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 45% * 72
Converting percent to decimal:
p = 45%/100 = 0.45
Y = 0.45 * 72
Y = 32.4
