We can create a rectangle triangle, where the velocity of the plane is the hypotenuse, the horiontal component (1000 ft by unit of time) is a cathetus and the vertical component is (250ft by unit of time).

We want to find the angle that is adjacent to the horizontal component, so we can use the relationship.

Tan(angle) = opposite cathetus/adjacent cathetus

Tan(angle) = 250/1000 = 1/4

Angle = Atan(1/4) = 14°

7 0

3 years ago

Benjamin and his sister shared a large sandwich. Benjamin ate 3/5 of the sandwich and his sister ate 1/7 of the sandwich.

astraxan [27]

Answer:

Benjamin ate 16/35 more than how much his sister ate of the sandwich.

3 0

4 years ago

Winnie has 7 soccer trophies she wants to arrange in an array. How many different arrays are possible?

notka56 [123]

Answer:

5040 possible arrangements

Step-by-step explanation:

Given

$Trophies = 7$

Required

Possible arrangements

The 1st can be placed in any 7 positions

The 2nd, in 6 positions

-----

Up till the last in 1 position

So, the number of arrangements is:

$Arrangements = 7 * 6 * 5 * 4 * 3 * 2 * 1$

$Arrangements = 5040\ ways$

7 0

3 years ago

Find the area of the rectangle.

Arte-miy333 [17]

5/18 for the picture

8 0

3 years ago