S = 2lw + 2lh + 2wh
S = 2(12)(5) + 2(12)(7) + 2(5)(7)
S = 2(60) + 2(84) + 2(35)
S = 120 + 168 + 70
S = 288 + 70
S = 358 in²
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.
Answer:
36 miles.
Step-by-step explanation:
We have been given that Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. The entire trip took 3 hours.
Substitute the given values:
The total distance is 72 miles, so the distance going up would be half of 72.
Therefore, Karina went 36 miles up the mountain.
Answer:
A. Perpendicular
Step-by-step explanation:
When lines and/or points are in perpendicular to one another, the perpendicularity line between them measures the distance between both points and/or lines.
So to measure the distance between point c and line AB, a perpendicular line has to be drawn from c to AB or from AB to c. Either of these will arrive at the same result.
It should also be noted that the angle at the point of intersection of perpendicular lines is 90°.
