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EastWind [94]
3 years ago
12

A rotating wind turbine has a diameter of about 145 feet and its circumference is about 456 feet. A smaller model of the turbine

has a circumference of about 16 feet. What will the diameter of the model be? If necessary, round to the nearest whole number.
The diameter of the model will be about ___ feet
Mathematics
2 answers:
Serjik [45]3 years ago
7 0

Answer:

ross-multiplication.

circumference divided by the diameter

10/x = 580/185

10x185=1850

1850/580=3.189

Step-by-step explanation:

give me brainliest

natulia [17]3 years ago
7 0

Answer:

7 feet.

Step-by-step explanation:

<u>Solve</u>

  • Set up a proportion using the given information for the turbine and its model.

C /d =  

C /d

  • Set up a proportion.

660 /210 =  

22/ d

  • Substitute the given values.

660 ÷ 30

210 ÷ 30  ≈  

22/ d

Since 660 divided by 30 is approximately 22, divide 210 by 30 to find the value of d.

660 /210  ≈  

22/ 7

 d ≈ 7

The diameter of the model is approximately 7 feet.

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Suppose the roots of the polynomial $x^2 - mx + n$ are positive prime integers (not necessarily distinct). Given that $m &lt; 20
Vsevolod [243]

Answer:

<em>18</em> values for n are possible.

Step-by-step explanation:

Given the quadratic polynomial:

$x^2 - mx + n$

such that:

Roots are positive prime integers and

$m < 20$

To find:

How many possible values of n are there ?

Solution:

First of all, let us have a look at the sum and product of a quadratic equation.

If the quadratic equation is:

Ax^{2} +Bx+C

and the roots are: \alpha and \beta

Then sum of roots, \alpha+\beta = -\frac{B}{A}

Product of roots, \alpha \beta = \frac{C}{A}

Comparing the given equation with standard equation, we get:

A = 1, B = -m and C = n

Sum of roots,  \alpha+\beta = -\frac{-m}{1} = m

Product of roots, \alpha \beta = \frac{n}{1} = n

We are given that m  

\alpha and \beta are positive prime integers such that their sum is less than 20.

Let us have a look at some of the positive prime integers:

2, 3, 5, 7, 11, 13, 17, 23, 29, .....

Now, we have to choose two such prime integers from above list such that their sum is less than 20 and the roots can be repetitive as well.

So, possible combinations and possible value of n (= \alpha \times \beta) are:

1.\ 2,  2\Rightarrow  n = 2\times 2 = 4\\2.\ 2, 3 \Rightarrow  n = 6\\3.\ 2, 5 \Rightarrow  n = 10\\4.\ 2,  7\Rightarrow  n = 14\\5.\ 2, 11 \Rightarrow  n = 22\\6.\ 2, 13 \Rightarrow  n = 26\\7.\ 2, 17 \Rightarrow  n = 34\\8.\ 3,  3\Rightarrow  n = 3\times 3 = 9\\9.\ 3, 5 \Rightarrow  n = 15\\10.\ 3, 7 \Rightarrow  n = 21\\

11.\ 3,  11\Rightarrow  n = 33\\12.\ 3, 13 \Rightarrow  n = 39\\13.\ 5, 5 \Rightarrow  n = 25\\14.\ 5, 7 \Rightarrow  n = 35\\15.\ 5, 11 \Rightarrow  n = 55\\16.\ 5, 13 \Rightarrow  n = 65\\17.\ 7, 7 \Rightarrow  n = 49\\18.\ 7, 11 \Rightarrow  n = 77

So,as shown above <em>18 values for n are possible.</em>

3 0
3 years ago
PLEEEEEAAASE HELP ME<br> IM GIVING 52 POINTS FOR THIS
-BARSIC- [3]

Answer:

dont scam people

Step-by-step explanation:

4 0
3 years ago
Please help math middle school level
pychu [463]

Answer:

7 yd

Step-by-step explanation:

You are finding the perimeter. Your answer should include yd (yd² is for area, yd³ is for 3d images).

Note that the two lines segments (? & 9) is parallel to the other line segment (16). Find the ?:

? + 9 = 16

? + 9 (-9) = 16 (-9)

? = 16 - 9

? = 7

7 yd is your answer

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3 0
3 years ago
Delana also bought 3 bags of pencils with 12 pencils in each bag.When the party began, she found that 13 of the pencils were bro
Ymorist [56]

Answer:

20

Step-by-step explanation:

3*12=36-13=20

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3 years ago
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M< means to measure so I would measure
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