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Vinvika [58]
3 years ago
9

Find the area an perimeter

Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

Answer:

Perimiter :: 24

Area :: 28

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A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increas
Fittoniya [83]

Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>How to solve?</h3>

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

#V=pi r^2 h#

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

#V=pi (5m)^2 h#

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

#(dV)/(dt)=(25 m^2) pi (dh)/(dt)#

In the problem, we are given #3(m^3)/min# which is #(dV)/(dt)#.

So we need to substitute this in:

#(dh)/(dt)=(3m^3)/(min (25m^2) pi)=3/(25 pi)m/(min)#

Hence,  Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>Formula used: </h3>

#V=pi r^2 h#

To Learn more visit:

brainly.com/question/4313883

#SPJ4

4 0
2 years ago
Read 2 more answers
Asap I will fail it’s due soon
Elan Coil [88]

Answer:

See explanation

Step-by-step explanation:

1. From the graph of absolute value function:

a. The domain is x\in (-\infty, \infty)

b. The range is y\in [0,\infty)

c. The graph is increasing for all x>0

d. The graph is decreasing for all x

2. From the graph of quadratic function:

a. The domain is x\in (-\infty, \infty)

b. The range is y\in (-\infty,0]

c. The graph is increasing for all x

d. The graph is decreasing for all x>0

4 0
2 years ago
Please help me!<br> Find WX.
Fynjy0 [20]
So WX is 7y +4 and XY is 21, and when you add those lines you get the whole thing, which is 12y so write that like an equation
12y = 7y+4+21
12y = 7y+25
5y = 25
y = 5
3 0
3 years ago
Which set of ordered pairs that satisfy the equation
krok68 [10]

Answer:

3

Step-by-step explanation:

3

5 0
3 years ago
SOMEONE HELP ASAP! IM STUCKKKKKK
fredd [130]

Answer: B) increasing for x < -4/3 and x > 4/3

                   decreasing for -4/3 < x < 4/3

<u>Step-by-step explanation:</u>

Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.

Refer to the image below. Red is increasing. Blue is decreasing.

The vertices are at: x = -4/3 and x = 4/3

6 0
3 years ago
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