1.
a plane leaves los angeles at a constant speed of 500 km per hour. it travels
north for a 1/4 hour, then east for 1 hour, then south for 14 hour. the plane is
0.25
now
a.
750km east of los angeles
b.
125km south of los angeles
c. 250km north and 250km east of los angeles
d. 500km east of los angeles

Step-by-step explanation:

- An airplane leaves Los Angeles for Denver at a speed of 430 mph. Thirty minutes later another plane going from Denver to Los Angeles leaves Denver, which ... So to begin with plane 1 got a 30 minute head start, so since it was going at 430 miles per ... LOS ANGELES - DENVER...430 miles/hour, x hours.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240