Answer:
C. 40.2°
Step-by-step explanation:
Cosine rule (real handy to remember): c² = a² + b² - 2·a·b·cos(γ)
If you don't know this yet, look it up but in short: c, a and b are the lengths of the sides of the triangle, the angle opposite side a is called α, for b it is β and for c it is γ. That's the convention I've always used anyway, you can call them whatever of course. Anyhow:
c² = a² + b² - 2·a·b·cos(γ)
⇒ |AC|² = |AB|²+|BC|²-2·|AB|·|BC|·cos(∠B)
⇒ |AC|²-|AB|²-|BC|² = -2·|AB|·|BC|·cos(∠B)
⇒ ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) = cos(∠B)
⇒ ∠B = arccos( ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) )
= arccos( ( 11²-16²-16² ) / ( -2·16·16 ) )
= 40.21101958°
≈ 40.2°
Answer:
B / px= k
Step-by-step explanation:
B = kpx
Divide each side by px
B / px= kpx/px
B / px= k
Answer:
x = 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2(3x - 7) = 16
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Division Property of Equality] Divide 2 on both sides: 3x - 7 = 8
- [Addition Property of Equality] Add 7 on both sides: 3x = 15
- [Division Property of Equality] Divide 3 on both sides: x = 5
Answer:
area base x height, perimeter add all sides, because a parallelogram can be divided into two triangles
Step-by-step explanation:
Answer:
25/2
Step-by-step explanation:
D = 5, E = 10 and F = 4,
D• E/F
5 * 10/4
Multiply and Divide from left to right
50/4
25/2
