<h2>Explanation:</h2><h2 />
- The input of a function is also called the domain and are those x-values for which the function is defined.
- The output of a function is also called the range and are those y-values for which the function is defined.
Here we have the following function:
And we know that:
Input:
Output:
Answer:
D) 50ft
Step-by-step explanation:
(18×x) + (32×18) + [(48-18-18)×(32-11)]
= 1728
18x + 576 + (12×21) = 1728
18x = 1728 - 828
18x = 900
x = 50
Answer:
A ≈ 9.0 ft²
Step-by-step explanation:
70° = 7π/18 radians
Area of the arc section
A = ½(7π/18)8² = 12⁴/₉π ft² = 39.09537 ft²
As the triangle is isosceles, the other two angles are (180 - 70) / 2 = 55°
law of sines 8 / sin55 = L / sin 70 L = 9.17722
so the triangle height = √(8² - (9.17722/2)²) = 6.55321
Area of triangle ½(6.55321)(9.17722) = 30.07016
Area = 39.09537 - 30.07016 = 9.025211 ≈ 9.0 ft²
Given:
A committee of 6 members is to be chose from the 100 members of the U.S. senate.
To find:
The number of ways to form a committee.
Solution:
We have,
Total number of members = 100
Number of members needs to selected of committee = 6
Number of ways to select r items from total n items is
Number of ways to select 6 members from total 100 members is
Therefore, the total number of ways to form a committee is 
, i.e., equal to 
.
