Answer:
The Slope is -1/3
Step-by-step explanation:
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Answer:
Step-by-step explanation:
21)
The sine rule is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Therefore,
12/Sin 64 = x/Sin 12
Cross multiplying, it becomes
xSin 64 = 12Sin12
xSin 64 = 12 × 0.209
0.8988x = 2.508
x = 2.508/0.8988
x = 2.79
The sum of the angles in a triangle is 180 degrees. Therefore, the unknown angle in triangle is
180 - (64 + 12) = 104 degrees. Therefore,
y/Sin104 = 12/Sin64
ySin64 = 12Sin104
0.8988y = 12 × 0.9703 = 11.6436
y = 11.6436/0.8988
y = 12.95
22) we would apply the law of Cosines which is expressed as
a² = b² + c² - 2bcCosA
Therefore,
28² = 20² + 24² - 2 × 20 × 24Cosx
784 = 400 + 576 - 960Cosx
784 = 976 - 960Cosx
960Cosx = 976 - 784 = 192
Cosx = 192/960 = 0.2
x = Cos^(-1)0.2
x = 78.5°
Answer: x = 35/13
Step-by-step explanation:
Answer:
Mean: 35
Median: 31
Mode: 36.9 (If you round up), 36.8 (If you don't round up)
Step-by-step explanation:
Order the Data: 29, 30, 30, 31, 31, 35, 35, 35, 36
Mean: Average , sum all of your data and divided by how many scores are in your data. (From Math Notes I have)
332/9 = 36.9 (If you round up)
Median: Middle Score (From Math Notes I have)
In this case the Median is 31.
Mode: The score that up most (From Math Notes I have)
In this case the Mode is 35.
Answer:
![\displaystyle \frac{-4 + i\sqrt{5}}{12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B-4%20%2B%20i%5Csqrt%7B5%7D%7D%7B12%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Imaginary Numbers: √-1 = <em>i</em>
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Simplify</u>
- [Fraction] [√Radical] Factor:
![\displaystyle \frac{-8 + \sqrt{-1}\sqrt{20}}{24}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B-8%20%2B%20%5Csqrt%7B-1%7D%5Csqrt%7B20%7D%7D%7B24%7D)
- [Fraction] [√Radical] Evaluate:
![\displaystyle \frac{-8 + i\sqrt{20}}{24}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B-8%20%2B%20i%5Csqrt%7B20%7D%7D%7B24%7D)
- [Fraction] [√Radical] Simplify:
![\displaystyle \frac{-8 + 2i\sqrt{5}}{24}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B-8%20%2B%202i%5Csqrt%7B5%7D%7D%7B24%7D)
- [Fraction] Factor numerator:
![\displaystyle \frac{2(-4 + i\sqrt{5})}{24}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B2%28-4%20%2B%20i%5Csqrt%7B5%7D%29%7D%7B24%7D)
- [Fraction] Simplify:
![\displaystyle \frac{-4 + i\sqrt{5}}{12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B-4%20%2B%20i%5Csqrt%7B5%7D%7D%7B12%7D)