Practice worksheet : relations and functions
2 answers:
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Answer:
Rate of change of the area of the rectangle at that instant = 7 cm²/hr.
Step-by-step explanation:
Area of rectangle = Height x Width
A = hw
The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a rate of 4 centimeters per hour.
Differentiating area with respect to time,
We need to find rate of change of area when the height is 5 centimeters and the width is 9 centimeters.
Rate of change of the area of the rectangle at that instant = 7 cm²/hr.
Answer:
31 feet
Step-by-step explanation:
Given: The length of ladder, leaned against wall= 32 foot
The base of ladder is 8 feet away from wall
Adjacent= 8 feet and Hypotenuse= 32 foot
we need to find height of wall till the ladder reach (Opposite).
We will use Pythagorean theorem;
⇒
⇒
subtracting both side by 64
⇒
⇒ ≅ 31 ft
∴ 31 ft high up the wall.