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First, you have to simplify the equation:
y+3 = 3(x+5)
y+3=3x+15
So you multiply what’s inside the brackets (x+5) by the factor (3). So 3•x=3x, 3•5=15.
Then you rearrange the equation as necessary to convert it into standard form, which is Ax + By = C
6,051m = 6,000m + 51m
1km=1,000 metres
--------------------------------
Therefore:
6,051 metres = 6,000/1,000km + 51/1,000km
=6,051/1,000km
=6.051km
Answer:
x = 77.8 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
∅ = 40°
opposite leg of angle = 50 ft
hypotenuse = x ft
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: sin40° = 50/x
- Multiply <em>x </em>on both sides: xsin40° = 50
- Divide sin40° on both sides: x = 50/sin40°
- Evaluate: x = 77.7862
- Round: x = 77.8 ft
