The following graph represents the distance a commercial airplane travels over time, at cruising speed, and an altitude of 35,000 feet. In fact, the distance the airplane travels at cruising speed is directly proportional to the time it travels. What is the cruising speed of the airplane? In your answer, use complete sentences to describe how you found the speed.

567 mph

Step-by-step explanation:

The speed will actually just be the slope of the line. Slope is change in y-coordinates over change in x-coordinates. We can pick any two points for this; let's just do (1, 567) and (2, 1134).

Slope = (1134 - 567) / (2 - 1) = 567 / 1 = 567

The speed is thus 567 miles/hour.

567 miles/hour

Step-by-step explanation:

Speed is the rate at which the distance is being covered, hence ot is the slope of the distance-time graph.

Slope = (567-0)/(1-0)

= 567/1

= 567 miles/hour

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584