Hi there! :)
Answer:

Given:

The given expression is a logarithm with a base of 10, therefore we can rewrite this as:

Evaluate:

Answer:
7, 10 and 15
Step-by-step explanation:
Given
--- Students already enrolled

Required
Determine the additional number of students needed for the teacher not to cancel the class
First, we need to calculate the number of students for the teacher to cancel the class.
Represent this with x.
So, we have:

Make x the subject

Substitute values for Total and S1


This means that if less than 7 additional students come to the class, the teacher will cancel the class.
So, for the teacher not to cancel the class, the students must be 7 or greater (i.e. 7, 8, 9, 10....)
Answer:

Step-by-step explanation:
<u>Decimal to Fraction Conversion</u>
We have the decimal number 0.285
It can be expressed as:

The fraction can be simplified by dividing by 5:

Since 57 and 200 have no more common factors, this is the simplified equivalent fraction.

Answer:
A nice way to show it is through the unit circle.
In the unit circle, the point at angle theta from the origin has a y value of sin theta.
If you rotate a point 360-theta degrees from the origin, that is like rotating it theta degrees "backwards", or downwards, which is going to yield the same exact point, reflected through the x-axis. In other words, the y value, or sin(360-theta), is exactly -sin(theta).