Answer:
x = 97
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing side length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 72
Leg <em>b</em> = 65
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 72² + 65² = x²
- Exponents: 5184 + 4225 = x²
- Add: 9409 = x²
- Isolate <em>x</em>: 97 = x
- Rewrite: x = 97
Question-
A team math contest has $11$ teams of $6$ students each. Before the contest begins, every student high-fives every other student who is not on their team. How many high-fives take place in all?
Answer:
And the sample deviation with the following formula:
And replacing we got:
And then the answer is :
Step-by-step explanation:
For this case we have the following data given:
3.1 3.5 3.3 3.7 4.5 4.2 2.8 3.9 3.5 3.3
The sample mean can be calculated with this formula:
And replacing we got:
And the sample deviation with the following formula:
And replacing we got:
And then the answer is :
Answer:Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the the rectangle.
