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Ket [755]
3 years ago
10

A rope 10 feet long is cut into two pieces. One piece is used to form a circle and the other used to form a square. Find a funct

ion representing the area of both square and circle as a function of the length of one side of the square.
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0
10-x=C=2πr

(10-x)/(2π)=r

A=π(100-20x+x^2)/(4π^2)

A=(x^2-20x+100)/(4π)

...

x/4=s, x=4s  using this in the area of a circle we get:

A=(16s^2-80s+100)/(4π)

A=(4s^2-20s+25)/π

And of course the area of a square is s^2

A=(4s^2+πs^2-20s+25)/π
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What is the answer? I find this very confusing for me.
vichka [17]

Answer:

19

Step-by-step explanation:

If you want to find the answer of the equation, sub the given information into it:

z + xz + y

we know that:

x = 5

y = 1

z = 3

We got:

= 3 + 5*3 + 1

= 3 + 15 + 1

= 19

Hope this helped :3

5 0
3 years ago
If a work group consistently achieves 80 % of its quarterly goals and the work group generally has 25 objectives per quarter how
storchak [24]
What this question is asking you to find 80% of 25. 10% of 25 is 2.5 because there is always a decimal point directly to the right of the ones place. (25.0)
You would move the decimal point over one place to find 10% of a given number. How I would approach this is to multiply 2.5 by 8 to find 80% of 25

2.5 x 8 = 20

80% of 25 = 20

You can expect the work group to get done 20 out of 25 of their objectives per quarter











6 0
3 years ago
Solve the following quadratic function by utilizing the square root method. f(x) = 1 - x2 x = + [?]
faltersainse [42]

Answer:

Step 1) y=16-x2. Swap the sides so that all terms of the variables are on the left side. Step 2) 16-x_{2}=y. Subtract 16 from both sides. Step 3) -x_{2}=y-16 Divide the two sides by -1. Step 4). \frac{-x_{2}}{-1}=\frac{y-16}{-1} Dividing by -1 undoes the multiplication by -1. Step 5). x_{2}=\frac{y-16}{-1} Step 6) dived y-16 by -1 And the final answer = x_{2}=16-y

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Subtract. 29.82 − 8.001 The difference is
maks197457 [2]

Answer:

21.819 is the difference

8 0
3 years ago
If other factors are held constant, what happens to a confidence interval if the sample variance increases? The range of t score
Firlakuza [10]

Answer:

The standard error increases and the width of the interval increases

Step-by-step explanation:

The variance is equal to the square of the standard deviation. An increase in variance will increase the standard deviation.

The width of the confidence interval can be defined as:

W=UL-LL=2z\sigma/\sqrt{n}

The width is proportional to the standard deviation, so when the variance increases, the standard deviation and also the width of the interval increases.

3 0
3 years ago
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