Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
We can write a proportion relating the short segment to the full length:
(x+1)/18 = 4/(4+5)
x +1 = 8 . . . . . . multiply by 18 and simplify
x = 7 . . . . . . . . subtract 1
Answer:99.9
Step-by-step explanation:
Answer:
6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
7(14 - 8) - 6²
<u>Step 2: Evaluate</u>
- Exponents: 7(14 - 8) - 36
- (Parenthesis) Subtract: 7(6) - 36
- Multiply: 42 - 36
- Subtract: 6
Answer:
a. Elena donates 12% of her money
Step-by-step explanation: