Answer:
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.
4 red marbles
6 blue marbles
8 green marbles
Add:
4 + 6 = 10
10 + 8 = 18
18 total marbles
Green marbles/total marbles
8/18
Simplify:
8 ÷ 2 = 4
18 ÷ 2 = 9
Simplest form = 4/9
8/18 = 4/9
D. 4/9
Answer:
4 25/18
Step-by-step explanation:
Answer:
8.5 cm
Step-by-step explanation:
Angles of the triangle:
Right triangle as it has 90° angle
Sides are a, b and 19 cm
- sin 30°= a/19 ⇒ a= 19 sin 30°= 19*0.5= 8.5 cm = shortest side
- sin 60°= b/19 ⇒ b= 19 sin 60°= 19*0.866= 16.45 cm
