10. A small plane was scheduled to fly from Atlanta to Washington, D.C. The plane flies at a constant speed of 230 miles per

Mathematics

1 answer:

MatroZZZ [7]3 years ago

7 0

Answer: The plane had traveled about 264 miles before turning back. The average speed was 230 mph

Step-by-step explanation: 230 - 10 = 220 speed outgoing

230+10 = 240 speed returning

Average speed (220+240)÷2= 460/2 =230 mph (needless to calculate!) Multiplied by total time 2.3 hours = 529 miles total distance.

Traveling the entire distance at 220mph would take about 2.4 hours. Traveling the entire distance at 240mph would take about 2.2 hours, a difference of .20 hours. Cut those times in half:

Traveling at 220mph for 1.2 hours would cover about 264 miles.

Traveling at 240mph for 1.1 hours would cover about 264 miles.

It adds up to 528 miles. The plane can't turn instantly, so figure the turn took the missing mile!

You might be interested in

What’s does e equal?

galina1969 [7]

Answer:

Step-by-step explanation:

$\frac{2}{5}=\frac{12}{e}$

$\frac{2}{5}e=12$

$e=12*\frac{5}{2}=5*6=30$

3 0

3 years ago

Read 2 more answers

MATH AID PLEASE HELP?

satela [25.4K]

The area of a trapezoid is

$\cfrac{(B+b)h}{2}$

where B and b are the two bases, and h is the height. The two bases have to be parallel, and the height must be perpendicular to both bases.

Even though we are used to have horizontal bases and vertical height, it's not mandatory, since a simple rotation doesn't affect the dimensions or the area of the trapezoid.

So, in this case, the two vertical segments are actually the bases of the trapezoid, and the horizontal segment is the height. So, the formula for the area yields

$A = \cfrac{(12.2+10.2)\cdot 12.6}{2} = \cfrac{22.4\cdot 12.6}{2} = 11.2\cdot 12.6 = 141.12$