Answer: option 3 is the correct answer
Step-by-step explanation:
Let us look at the various trigonometric ratios
Sin Ф = opposite side/ hypotenuse
Cos Ф = adjacent side / hypotenuse
Tan Ф = opposite side / adjacent side
Therefore, tan Ф = sin Ф / cos Ф
This means that if cos Ф=-8/17 and sin Ф is negative, then the hypotenuse is negative
To determine the adjacent side, we will apply Pythagoras theorem
Hypotenuse ^2 = opposite ^2 + adjacent ^2
-17^2 = 8^2 + adjacent^2
adjacent^2 = 289 - 64 = 225
adjacent = √225 = 15
tan Ф = 8/15
Answer:
(-2, -8)
x = -2
y = -8
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
13x - 6y = 22
x = y + 6
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 13(y + 6) - 6y = 22
- Distribute 13: 13y + 78 - 6y = 22
- Combine like terms: 7y + 78 = 22
- Isolate <em>y</em> term: 7y = -56
- Isolate <em>y</em>: y = -8
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = y + 6
- Substitute in <em>y</em>: x = -8 + 6
- Add: x = -2
Answer:
Step-by-step explanation:
First, we need to look at the # of chips. There are a total of 25, 6 of which are blue.
This means that the chance of getting the first blue chip would be 
As there is no replacement, the total number of chips is 24 and there are only 5 blue left. This gives us the chance of 
Now all we need to do is mulitply these two and then simplify
Answer:
i think its 12 :)
Step-by-step explanation:
20 + 48 = 68
180 - 68 = 112
20 + 48 + 112 = 18 (a full triangle!)
Answer: same bruh
Step-by-step explanation:
