a.
The area of the patio in square feet.
The area of the patio is 140.4 ft2.
Given:
A patio in the shape of an equilateral
Concept used:
Area of the equilateral triangle is
Where, b is the side and h is the height of the triangle.
Calculation:
Area of an equilateral triangle is
On substituting the values of b and h in the formula of area,
Thus, the area of the patio is 140.4 ft2.
Conclusion:
The area of the patio is 140.4 ft2.
b.
The graph of the function
The graph of the function
When
Given:
The tile in the shape of isosceles triangle with the base 6 in.
The height of the triangular tile is:
Calculation:
The graph of the function
As per the given problem,
When
Substitute the value of
Thus, the height of the tile is 1.732 in when
When
Substitute the value of
Thus, the height of the tile is 5.2 in when
Conclusion:
When
c.
The area of one tile in square inches.
When
Given:
The base of the tile is 6 in.
From part (b), when
Concept used:
Area of the isosceles triangle is
Where, b is the side and h is the height of the triangle.
Calculation:
Area of an isosceles triangle is
When
On substituting the values of b and h in the formula of area,
A
Thus, the area of the tile is 5.1 in2.
When
On substituting the values of b and h in the formula of area,
Thus, the area of the tile is 15.6 in2.
Conclusion:
When
d.
The number of tiles in the patio.
When
Given:
The base of the tile is 6 in.
From part (b), when
Concept used:
Conversion of ft to in,
To get the number of tiles, the following formula will be used:
Calculation:
From part (a), the area of the patio is 140.4 ft2. Now, converting the area in square inches.
Since
140.4 ft2 will be
Thus, the area of the patio is 20217.6 in2.
From part (c), the area of a tile when
So, the number of tiles will be:
Again, from part (c), the area of a tile when
So, the number of tiles will be:
Conclusion:
When
Chapter 13 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education