Answer: Rate of change of Area of the triangle = 2.75cm~/min
Step-by-step explanation:
If the present height of the triangle is 22cm and the height increases by 5cm/min. It means the height was 2cm four minutes earlier: 5cm for 1st min + 5cm for 2nd min + 5cm for 3rd min + 5cm for 4th min = 20cm after 4min.
Therefore height equals 22 - 20 = 2cm four minutes earlier.
Using the same four minutes for the base. Since the base shrinks at 1cm/min, for the base to shrink to 10cm it means it was 14cm four minutes earlier.
The Area of a triangle is given by
A = 1/2 × base × height
Therefore Area= 1/2× 10×22 = 110cm~
Since it took four minutes to get to this area, the rate of change of the area will be 110÷4 = 2.75cm~/min
<h2>Answer</h2>
1.5n-3.2
<h2>Explanation</h2>
First, we need to distribute -1.5. To do it we just multiply each term inside the parenthesis by -1.5:
Now we just need to combine like terms:
Answer:
The volume of the diving pool is 
Step-by-step explanation:
The volume of a rectangular pool is given by the following formula:
In which 
is the floor's area and h is the height.
The diving pool is 4 meters deep and has a floor area of 350 square meters.
This means that 
So
The volume of the diving pool is
Answer:
I believe the answer is 3
Answer:
The equation of the line of best fit is y = (-9/7)x + 13.
Step-by-step explanation:
The y-intercept of this straight line is (0, 13); we could also say that b = 13.
Two points on the graph are (0, 13) and (7, 4). As we go from x = 0 to x = 7, x increases by 7; at the same time, y decreases by 9.
From this observation, we can easily calculate the slope of this line:
m = rise / run = -9/7.
Then the equation of the line of best fit is y = (-9/7)x + 13.
