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
Answer: the answer is 119$
Answer:2-4h
Step-by-step explanation:
3(2-0.9h)+(-1.3h-4)
6-2.7h-1.3h-4
6-4h-4
2-4h
Answer : The correct option is, (A) 10
Step-by-step explanation :
First we have to calculate the volume of cylinder shaped can.
Formula used:
Volume of cylinder = π r² h
where,
r = radius of cylinder
h = height of cylinder
Given:
Diameter of cylinder = 3 in
Height of cylinder = 6 in
Radius of cylinder = 
Now putting all the given values in the above formula.
Volume of cylinder = π r² h
Volume of cylinder = 3.14 × (1.5 in)² × 6 in
Volume of cylinder = 42.39 in³
Now we have to determine the number of soda cans are in a pack.
Number of soda cans are in a pack = 
Number of soda cans are in a pack = 
Number of soda cans are in a pack = 10
Therefore, the number of soda cans in a pack are 10.
Answer:
x -intercepts are x = -3 and x = 1
y-intercept at y = -3
The line of symmetry is x = -1
vertex is (h,k) = (-1,-4)
Step-by-step explanation:
Given a quadratic equations: h(x) = (x + 1)^2 - 4
The vertex for is :
h(x) = a(x - h)² + k
where,'h' is the axis of symmetry and (h,k) is the vertex.
So from the given equation we will rewrite the equation as:
h(x) = (x - (-1))^2 - 4
Hence,h = -1 and k = -4
The line of symmetry is x = -1 and vertex is (h,k) = (-1,-4)
Now, we have to find the x intercepts,
using the equation,
(x + 1)² = 4
Taking the square root on both sides,
√(x + 1)² = √4
x + 1 = ± 2
x = 1 or x = -3
So x -intercepts are x = -3 and x = 1
For y-intercept put x = 0 into the real equation:
h(x) = (0 +1)^2 - 4
y = 1 - 4
y = -3
So y-intercept at y = -3
Here with I have attached the graph.
Thank you.