A plane flies 1.2 hours at 120 mph on a bearing of 20°. It then turns and flies 3.3 hours at the same
speed on a bearing of 110°. How far is the plane from
its starting point?

9514 1404 393

  421.4 miles

Step-by-step explanation:

The flight legs are orthogonal, so the distance can be found using the Pythagorean theorem:

  1.2 h × 120 mph = 144 mi

  3.3 h × 120 mph = 396 mi

The distance at the end of the second flight leg is ...

  d = √(144² +396²) = √177552 ≈ 421.37

The plane is about 421.4 miles from its starting point.

The heading to its end point is 20° +arctan(3.3/1.2) ≈ 90.02°.

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x