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Tpy6a [65]
3 years ago
14

an art student wants to make a model of an ancient building. the length of the building is 1.6 times its width. The length of th

e students model is 28in. what should the width of the model be?
Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0

I think it would be 17.5in

Hope this helps!!

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Alex bikes 2 3/4 miles. Then, she runs 1 2/4 miles. The distance she bikes is how many times the distance she runs?
Svet_ta [14]

Answer:

1.83 times

Step-by-step explanation:

Take the distance biked divided by the distance run.

2 3/4 / 1.5 = 1.83 times.

This means that Alex biked 1.83 times more than the distance she ran.

If this answer is correct, please make me Brainliest!

4 0
2 years ago
Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.
Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

x^4-(3m+2)x^2+m^2=0

x^4+0x^3-(3m+2)x^2+0x+m^2=0

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}

=\frac{0}{1}=0

\implies a=0----(1)

(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}

=\frac{-3m-2}{1}

3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2

-10b^2=-3m-2

\implies b^2=\frac{3m+2}{10}-----(2)

(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2

9b^4=m^2

9(\frac{3m+2}{10})^2=m^2

9(\frac{9m^2+4+12m}{100})=m^2

81m^2+36+108m=100m^2

-19m^2+108m+36=0

19m^2-108m-36=0

19m^2-114m+6m-36=0

19m(m-6)+6(m-6)=0

(19m+6)(m-6)=0

\implies m=-\frac{6}{19}\text{ or }m=6

But m > 0,

Hence, the value of m is 6.

4 0
3 years ago
Will give brainliest!<br><br> Give an example of an undefined term and how it relates to a circle
Pani-rosa [81]

Answer:

an example of an undefined term and how it relates to a circle

Step-by-step explanation:

To learn why and more about circles go to this website:

windowseat.ca/circles

8 0
3 years ago
Wacky water park<br> Worksheet
timurjin [86]
Please provide context so that we may help with your question
8 0
3 years ago
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If f(x)=1/2 x-6 what is the equation for f–1(x)?
Mumz [18]
I hope this helps you

5 0
3 years ago
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