Answer:
1 + 2sqrt(3)/3
Step-by-step explanation:
tan(30) = sqrt(3)/3
sin(90) = 1
tan(60) = sqrt(3)
cot(60) = 1/sqrt(3) = sqrt(3)/3
sqrt(3)/3 + 1 + sqrt(3)/3
1 + 2sqrt(3)/3
Let α represent the acute angle between the horizontal and the straight line from the plane to the station. If the 4-mile measure is the straight-line distance from the plane to the station, then
sin(α) = 3/4
and
cos(α) = √(1 - (3/4)²) = (√7)/4
The distance from the station to the plane is increasing at a rate that is the plane's speed multiplied by the cosine of the angle α. Hence the plane–station distance is increasing at the rate of
(440 mph)×(√7)/4 ≈ 291 mph
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Midpoint Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (18, 13)
Point (10, -20)
<u>Step 2: Find Midpoint</u>
Simply plug in your coordinates into the midpoint formula to find midpoint
- Substitute [MF]:

- Add/Subtract:

- Divide:
