The speed of wind and plane are 105 kmph and 15 kmph respectively.
<u>Solution:</u>
Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.
We have to find the air speed of the plane and speed of the wind.
Now, let the speed wind be "a" and speed of aeroplane be "b"
And, we know that, distance = speed x time.
Now at head wind → 
So, solve (1) and (2) by addition
2a = 210
a = 105
substitute a value in (1) ⇒ 105 + b = 120
⇒ b = 120 – 105 ⇒ b = 15.
Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.
Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.
Answer:
392.5 in²
Step-by-step explanation:
This figure is consists of a trapezium and a rectangle.
So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately and add them together.
Let us find now.
<u>Area of the Trapezium</u>
Area = 
× ( sum of the parallel sides ) × height
Area = × ( 9 + 20 ) × 5
Area = × 29 × 5
Area = × 145
Area = 72.5 in²
<u>Area of the rectangle</u>
Area = Length × Width
Area = 20 × 16
Area = 320 in²
<u>Total area of the figure</u>
Total area = Area of the trapezium + Area of the rectangle
Total area = 72.5 in² + 320 in²
Total area = 392.5 in²
Hope this helps you :-)
Let me know if you have any other questions :-)
D.) Dependent variable is "<span>instantaneous velocity" as it gives information of velocity at every second
Hope this helps!</span>
Answer:
f(2)=1/9
Step-by-step explanation:
f(x)=(1/3)^x
f(2)=(1/3)^(2)
f(2)=1/9
