Answer:
The measure of 
is 30°.
Step-by-step explanation:
In the statement, the angle has been misrepresented. The corrected statement is described below:
<em>"On a unit circle, the terminal point of </em><em> is </em>
<em>. What is </em><em>?"</em>
The measure of the angle (), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form 
is determined by the following inverse trigonometric function:
(1)
If we know that 
and 
, then the measure of is:
The measure of is 30°.
Answer:
<u><em></em></u>
Explanation:
Simulate (build a table) the growing of the number of pennies for some nights to figure out the pattern:
First night: 1 penny = 2⁰
Second night: 1 × 2 pennies = 2¹
Third night: 2 × 2 = 2²
Fourth nigth: 2² × 2 = 2³
nth night: 2ⁿ⁻¹
You want 2ⁿ⁻¹ ≥ 2,000,000,000
Which you solve in this way:
- n-1 log (2) ≥ log (2,000,000,000)
- n - 1 ≥ log (2,000,000,000) / log (2)
Since n is number of days, it is an integer number, so n ≥ 32.
Hence, she will have a total of more than $ 2 billion after 32 days.
You can prove that by calculating 2³² = 2,147,483,648.
Isolate the x. Note the equal sign. What you do to one side, you do to the other. Subtract 45 from both sides
x + 45 (-45) = 11 (-45)
x = 11 - 45
x = -34
-34 is your answer
hope this helps
