13. Find the height of a triangle with a base measuring 18 cm and an area of 90 cm2 The formula for the area of a triangle is A = bh, where A = area. b = length of base, and h = height. %3D %3D

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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#13

### Algebra Homework Worksheet

#### Solve the following equations:

9. \( 3r + 5 = 1 \)

10. \( \frac{3}{5} + 9c - 4 = 6c + 5 \)

11. \( 4(k + 5) = 28 \)

12. \( 9c - 4 = 6c + 5 \)

#### Application Questions:

13. **Find the height of a triangle with a base measuring 18 cm and an area of 90 cm².**  
    - The formula for the area of a triangle is \( A = \frac{1}{2}bh \), where:
      - \( A \) = area
      - \( b \) = length of base
      - \( h \) = height

14. **Solve the formula \( m = n + p \) for \( n \).**

#### Simplify:

15. \( \frac{1}{4}y + \frac{1}{4}y + 3y + \frac{1}{4}y \)

16. \( 3(x - 2) = 2x + 4 \)

#### Graph each open sentence on a number line:

18. \( 2 = 2x + 4 - 3 \)

---

**Graph / Diagram Explanation:**
- There is no graph or diagram provided in these questions.
- The provided text includes algebraic equations and expressions to simplify, as well as a word problem involving the area of a triangle.
- No graphical representation is required as all tasks are algebraic computations.
Transcribed Image Text:### Algebra Homework Worksheet #### Solve the following equations: 9. \( 3r + 5 = 1 \) 10. \( \frac{3}{5} + 9c - 4 = 6c + 5 \) 11. \( 4(k + 5) = 28 \) 12. \( 9c - 4 = 6c + 5 \) #### Application Questions: 13. **Find the height of a triangle with a base measuring 18 cm and an area of 90 cm².** - The formula for the area of a triangle is \( A = \frac{1}{2}bh \), where: - \( A \) = area - \( b \) = length of base - \( h \) = height 14. **Solve the formula \( m = n + p \) for \( n \).** #### Simplify: 15. \( \frac{1}{4}y + \frac{1}{4}y + 3y + \frac{1}{4}y \) 16. \( 3(x - 2) = 2x + 4 \) #### Graph each open sentence on a number line: 18. \( 2 = 2x + 4 - 3 \) --- **Graph / Diagram Explanation:** - There is no graph or diagram provided in these questions. - The provided text includes algebraic equations and expressions to simplify, as well as a word problem involving the area of a triangle. - No graphical representation is required as all tasks are algebraic computations.
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