Answer:

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

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (21, 13)
Point (3, 13)
<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 points [Distance Formula]:

- [√Radical] (Parenthesis) Subtract:

- [√Radical] Evaluate exponents:

- [√Radical] Add:

- [√Radical] Evaluate:

Answer:
Length: 40 Width: 76
Step-by-step explanation:
W is width, and L is length.
We know that the length is 36 less than the width, so L = w - 36. Two times the width plus two times the length equals the perimeter, so set up the equation for the perimeter as:
232 = 2w + 2(w-36)
Now solve for w:
232 = 2w + 2w - 72
304 = 4w
w = 76
we now know that the width is 76, so solve for the length:
L= 76-36
L = 40
It would be B because you would take amelias age and take two away since todd is five years younger to get the a-5.
hope this helps :)
Alright,
-9/10x + y = 1 1/10
Answer:
27 degrees
Step-by-step explanation:
First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.
We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees