Answer:
114,570,685.26
Step-by-step explanation:
100,236,820 x 14.3% = 14,333,865.26
100,236,820 + 14,333,865.26 = 114,570,685.26
Answer:
50
Step-by-step explanation:
First find the slope between any two points:

Where

are the two points
So calculating the slope:

So the slope is

And our equation will be in the format of

where

and

So, now we have half of the equation:

Now to calculate b, we can plug in a point

and solve for b.
So

Lets use the point

So:

And then:

So our final equation is
Answer: B. 25.2 units
Step-by-step explanation:
The kite consists of 4 right angle triangles. The two smaller right angles are equal. Also, the two bigger right angles are equal.
To determine the hypotenuse of each triangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Considering the smaller triangle,
Hypotenuse² = 4² + 3² = 16 + 9 = 25
Hypotenuse = √25 = 5
Considering the smaller triangle,
Hypotenuse² = 7² + 3² = 49 + 9 = 58
Hypotenuse = √58 = 7.616
The perimeter of the kite is the sum of the length of each side. Therefore,
Perimeter = 5 + 5 + 7.616 + 7.616 = 25.2 units to the nearest tenth
Answer:
The drift angle is approximately 7.65° towards the East from the plane's heading
Step-by-step explanation:
The speed of the plane = 350 mph
The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction
The speed of the wind = 40 mph
The direction of the wind = S 70° E = 20° clockwise from the eastern direction
The component velocities of the plane are;
= (350 × cos 50)·i + (350 × sin 50)·j
= (40 + cos 20)·i - (40 × sin 40)·j
The resultant speed of the plane =
+
= 265.915·i +242.404·j
The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°
Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East