Using a right triangle formed by boat with base and top of lighthouse.Note: 15 minutes = 0.25 degreesLet d be distance the boat is from shore.tan(90−13.25)=d/175
d=175∗tan(76.75)=743.2
Answer:
15-1/2j
Step-by-step explanation:
I hope this helps
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Reading a Cartesian Plane
- Coordinates (x, y)
<u>Algebra II</u>
- Distance Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (3, -1)
Point (-5, 4)
<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 in coordinates [Distance Formula]:
- [Distance] [√Radical] (Parenthesis) Subtract:
- [Distance] [√Radical] Evaluate exponents:
- [Distance] [√Radical] Add:
- [Distance] [√Radical] Evaluate:
- [Distance] Round:
The law of cosines can be helpful here. The largest angle (C) will be opposite the longest side (c). That law tells us ...
... c² = a² + b² -2ab·cos(C)
Then
... cos(C) = (a² +b² -c²)/(2ab)
We don't actually need the angle. We only need to know the sign of the cosine.
... cos(C) = (7² +15² -17²)/(2·7·15) = -15/210 . . . . negative sign, so C > 90°
The sail has the shape of an obtuse triangle.
_____
A triangle solver app on your calculator, phone, tablet, or computer can give you the result easily.
Answer: see below
<u>Step-by-step explanation:</u>
12) 2(x + 4) = 8
<u> ÷2 </u> <u> ÷2 </u>
x + 4 = 4
<u> -4 </u> <u> -4 </u>
14) 4w - 2(1 - w) = -38
4w -2 + 2w = -38
(4w + 2w) - 2 = -38
6w - 2 = -38
<u> +2 </u> <u> +2 </u>
6w = -36
<u> ÷6 </u> <u> ÷6 </u>
16) 10(1 - 2y) = -5(2y - 1)
10 - 20y = -10y + 5
<u> +20y </u> <u>+20y </u>
10 = 10y + 5
<u> -5 </u> <u> -5 </u>
5 = 10y
<u> ÷10</u> <u> ÷10 </u>