Answer:
Option D
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=42, B=120°, and c=35. Plugging in the values:
b^2 = 42^2 + 35^2 - 2(42)(35)*cos(120°).
Simplifying gives:
b^2 = 4459.
Taking square root on the both sides gives b = 66.78 (rounded to the two decimal places).
This means that the length of the third side is 66.78 units!!!
Answer:
AC 29
CB 15
Step-by-step explanation:
5x-6+2x+1=44 add like terms
7x-5=44
7x= 49
x= 7
plug back in
5(7)-6 = 29
2(7)+1 = 15
Answer:
I think its 45
Step-by-step explanation:
The quadratic formula is shown below:
x = (-b±√(b^2-4ac))/2a
You have the equation 3x^2+5x+2 = 0; so "a", "b" and "c" are:
a = 3
b = 5
c = 2
When you substitute a=3, b=5 and c=2 in the Quadratic Formula, you get two roots:
x = (-5±√1)/6
x1 = (-5+1)/6 = -2/3
x2 = (-5-1)/6 = -1
The correct answer is "B":
x = -2/3, -1
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra II</u>
- Distance Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point A (2, -1)
Point B (-4, 2)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.
- Substitute [DF]:
- Subtract/Add:
- Exponents:
- Add:
- Simplify:
