Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Coordinate Planes
- Reading a coordinate plane
- Coordinates (x, y)
Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify points</em>
Point (0, 2)
Point (3, -3)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:

- Simplify:

You can use the identity
cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.
(1/4)² +sin(x)² = 1
sin(x)² = 1 - 1/16
sin(x) = ±(√15)/4
Then the tangent can be computed as the ratio of sine to cosine.
tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
tan(x) = ±√15
There are two possible answers.
In the first quadrant:
sin(x) = (√15)/4
tan(x) = √15
In the fourth quadrant:
sin(x) = -(√15)/4
tan(x) = -√15
Answer:
C. 3.3 kg.
Step-by-step explanation:
There are 1000 grams in a kilogram.
So 3,000 g = 3300/1000
= 3.3 kg.
You do 60 × 5 = 300, which should be the answer. We can double check this by doing 50 × 6 = 300. So the answer is 300
Answer:the library checks out 2 times more fiction books than the nonfiction books.
Step-by-step explanation:
Total number of fiction books that the Library checks out in an hour is 4.
Total number of non fiction books that the Library checks out in an hour is 2.
To determine how many times more fiction books that they check out than the nonfiction books, we would divide the total number of fiction books that the Library checks out in an hour by the total number of non fiction books that the Library checks out in an hour. It becomes
4/2 = 2