When a stepladder is placed as shown, is it possible for the lower ends of the ladder to be 12 feet apart? Explain

No, with the guides in between the two ladders, it is not possible for the lower ends of the ladder to be up to 12 feet apart

Step-by-step explanation:

The given parameters are;

The length of two sides of the step ladder = 12 feet

The maximum value allowable for the included angle between the two 12 feet ladders = 58°

Therefore, the maximum value of the third side facing the included angle is given as follows;

let "a" represent the maximum value of the third side formed by the distance apart of the lower end of the ladder, by cosine rule, we have;

a² = 12² + 12² - 2 × 12 × 12 × cos(58°) = 135.383251901

∴ a = √(12² + 12² - 2 × 12 × 12 × cos(58°)) ≈ 11.64

The maximum value of the third side formed by the distance apart of the lower end of the ladder = a ≈ 11.64 feet < 12 feet

Therefore, it is not possible for the lower ends of the ladder to be up to 12 feet apart.

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.