Answer:
Step-by-step explanation:
All the interior angles are of measure 60 degrees.
We want to find the height of this triangle. Call it h. On the left side of this illustration is a right triangle with height h and base (1/2)(10), or 5.
The ratio of height to base is the tangent of 60 degrees:
h
tan 60 degrees = --------------
5
h
and tan 60 degrees = 1.73 = ------
5
Multiplying both sides of this equation by 5 yields h = 8.66. This is |BD|. This is the same as Answer B.
The correct answer is C because the lowest number is 4 ( out of all the numbers ), which is the dot to the above the number 4 and the largest number is 14, that is also marked by a dot above the number 18. The medians are ( the middle number ) 8 and 10, so you are going to add these to numbers together, 8 + 10 = 18, and then you have to divide it by 2, 18 ÷ 2 = 9, which means the median is 9, which is the middle line. For the 1st quartile, you have to add both the 7's and divide by 2, 7+7=14 ÷ 2 = 7, so then the 1st quartile is 7, the line closest to the 4, repeat this for the 3rd quartile, 11 + 13 = 24 ÷ 2 = 12, 3rd quartile = 12, the line closest to the number 14.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Functions
- Function Notation
<u>Algebra II</u>
- Piecewise Functions<u>
</u>
<u>Calculus</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Continuous at x = 2
<u>Step 2: Solve for </u><em><u>k</u></em>
- Definition of Continuity:
- Evaluate limits:
- Evaluate exponents:
- Multiply:
- [Subtraction Property of Equality] Subtract 2 on both sides:
- Rewrite:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Limits - Continuity
Book: College Calculus 10e
4^3= 64
2^6= 64
Therefore, n=6.
You can also figure this out if you know that 2^3*2^6=2^9. When you multiply exponents with the same base, add the exponents. 3+6=9
Final answer: n=6