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>
Point (5, -6)
Point (-3, 12)
<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/Add:

- [√Radical] Evaluate Exponents:

- [√Radical] Add:

- [√Radical] Simplify:

Answer:
51.15 cm
Step-by-step explanation:
Data provided
Basin = 40 centimeters deep
The Angle between the sloping sides = 77°
The calculation of the shortest distance between the tip of the cone and its rim is shown below:-
The angle will get divided and the angle is as follows

Here In the first triangle, we will follow "Cosine formula" which follows:-





Answer:
n7 is y
Step-by-step explanation:y
The 3 outside angles of a triangle need to equal 360 degrees.
To find X, subtract the 2 outside angles shown from 360.
X = 360 - 130 - 134 = 96
The answer is 96
Answer:
Step-by-step explanation:
Multiply the numbers 2 ( x - 11 ) * 2 = 128
4 ( x - 11 ) = 128
Distribute 4 ( x - 11 ) = 128
4x - 44 = 128
Add 44 to both sides 4x - 44 = 128
4x - 44 + 44 = 128 + 44
Simplify - Add the numbers
4x - 44 + 44 = 128 + 44
4x = 128 + 44
- Add the numbers
4x = 128 + 44
4x = 172
Divide both sides by the same factor 4x = 172
4x/4 = 172/4
Simplify
- Cancel terms that are in both the numerator and denominator
4x/4 = 172/4
x = 172/4
-Divide the numbers
x = 172/4
x = 43