Answer:
The reference angle is 
Step-by-step explanation:
The given angle is 
The reference angle is the acute angle, that a given angle makes with the x-axis.
First let us make a sketch of the given angle. <em>See diagram in attachment.</em>
Let 
be the reference angle of
Then, from the diagram, we need to subtract from 
to get to 
.
We can therefore write the following equation and solve for .
We group like terms to get,
We collect LCM to get,
We simplify to get,
We divide through by 
to get,
The correct answer is D.
Part (a)
<h3>Answer: 0.2</h3>
----------------------------------
Work Shown
It costs $15 to rent a bike for 3 hours. We can write the following ratio below
15 dollars : 3 hours
To represent the connection of the two concepts (dollars connecting with hours)
We want the "15 dollars" to turn into "1 dollar". This is because the phrasing "per dollar" really means "per 1 dollar".
Divide both sides of the ratio by 15 to achieve this goal.
15 dollars : 3 hours
15/15 dollars : 3/15 hours
1 dollar : 1/5 hours
1 dollar : 0.2 hours
0.2 hours : 1 dollar
So we get 0.2 hours per dollar.
As a side note, 0.2 hours = 0.2*60 = 12 minutes.
========================================================
Part (b)
<h3>Answer: 3.38</h3>
----------------------------------
Work Shown
27 pages : 8 minutes
27/8 pages : 8/8 minutes
3.375 pages : 1 minute
3.38 pages : 1 minute
I'm dividing both parts of the original ratio by 8 to turn "8 minutes" into "1 minute" (due to the phrasing "per minute"). Don't forget to round to 2 decimal places.
<span>-6x^4y^5 - 15x^3y^2 + 9x^2y^3
</span>-6x^4y^5 = -2, 3, x, x, x, x, y, y, y, y, y
15x^3y^2 = -5, 3 x, x, x, y, y
9x^2y^3 = 3, 3 x, x, y, y, y
Each group has a 3 in common and each group has 2 x in common and each group has 2 y in common so the GCF = -3x^2y^2
Divide that out and we get
Answer:
<h2>POINT</h2>
Step-by-step explanation:
Of all the terms mentioned, only one of them is undefined, and that's a point.
Other terms have their own definitions (are defined).
Answer:
False
Step-by-step explanation:
The two is a positive number so it would be going up not down.
*negative number= going down positive number= going up*
