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alexdok [17]
3 years ago
9

Will give brainliest Determine the following values!!!!!

Mathematics
1 answer:
yan [13]3 years ago
5 0

Answer:

x = 26    m∠DAB =  80°      m∠ADC = 100°

Step-by-step explanation:

Given,

ABCD is a parallelogram in which AB ║ DC and AD║ BC.

m∠DAB = 4x-24  

m∠ADC = 2x+48

Solution,

Since ABCD is a parallelogram so sum of two consecutive angle is 180°.

m\angle DAB+m\angle ADC=180\°\\4x-24+2x+48=180\°\\6x+24=180\°\\6x=180-24\\6x=156\\x=\frac{156}{6}=26

Now substituting the value of x we get the value of ∠DAB and ∠ADC .

m\angle DAB=4x-24=4\times26-24=104-24=80\°

m\angle ADC=2x+48=2\times26+48=52+48=100\°

Thus the value of x is 26 and m∠DAB is 80° and m∠ADC is 100°

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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

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4 0
2 years ago
Read 2 more answers
Can anyone help don’t understand
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Answer:

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an answer of:

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3 0
2 years ago
Please help me out thank you.​
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Answer:

the answer is D {-5, -13}

6 0
3 years ago
A man invest 5,200,part at 4% and the balance at 3%. If his total income for the two investments is $194,how much money did he i
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Let the amount invested at 4% be = x

Let the amount invested at 3% be = y

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x+y=5200 or x=5200-y  .... (1)

As, total income for the two investments is $194, so equation is:

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Putting value of x from (1) in (2)

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y=1400

And x=5200-y

x=5200-1400=3800

Hence, money invested at 4% is $3800 and money invested at 3% is $1400

6 0
3 years ago
Combine like terms.<br> 8y – 4z + 3y + 5z = 11y + [? ]z
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Answer:

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Step-by-step explanation:

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