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dsp73
3 years ago
6

A fence is 695

Mathematics
1 answer:
Rasek [7]3 years ago
5 0
Let the two parts with equal length have length x.
The longer part has length x + 20.

The sum of the three lengths is 695 m.

x + x + x + 20 = 695

3x + 20 = 695

3x = 675

x = 225

x + 20 = 245

The two short parts measure 225 m, and the long part measures 245 m.
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For the given polynomials find the sum of the squares of the roots. P(x)=x^3-x^2-18x+k
slega [8]

\text{Given that,}\\\\P(x) = x^3 -x^2 -18x+k\\\\\text{If the roots are}~ \alpha, ~ \beta,~\text{and}~ \gamma, ~ \text{then},\\\\\alpha +\beta+\gamma= -\dfrac{(-1)}1 = 1\\\\\alpha \beta +\beta \gamma + \gamma \alpha= -\dfrac{18}1 = -18\\ \\\text{Now, sum of the  squares of the roots,}\\\\\alpha^2 + \beta^2 + \gamma^2 = ( \alpha + \beta + \gamma)^2 -2(\alpha \beta + \gamma \beta + \gamma \alpha)\\ \\~~~~~~~~~~~~~~~~~~=1^2 - 2(-18)\\\\~~~~~~~~~~~~~~~~~~=1+36\\\\~~~~~~~~~~~~~~~~~~=37

6 0
2 years ago
A box of marbles can be shared equally among 6,7,or 8 students with 4 marbles left over each time.what is the least possible num
elena-s [515]

168 is the least common multiple of 6,7,and 8


8 0
3 years ago
Question 5
Vikentia [17]

The amount of sales (S) of statin in billions of dollars by 2017 is 34.5 billions

<h3>Linear equations</h3>

Linear equation are equation that has a leading degree of 1. Given the equation that represents Statins used to keep cholesterol in check and are a top-selling drug in the U.S.

S-1.5x = 6

where

S is the amount of sales

x is the number of years after 1998

By 2017, the total number of  years is 19 years

Substitute

S = 1.5x + 6

S = 1.5(19) + 6

S = 28.5 + 6

S = 34.5

The amount of sales (S) of statin in billions of dollars by 2017 is 34.5 billions

Learn more on linear equation here: brainly.com/question/14323743

#SPJ1

6 0
1 year ago
Suppose a triangle has 2 sides of length 3 and 4 and that the angle between these two sides is 60 degrees. what is the length of
shusha [124]

Answer:

\boxed{b.\:\:\:\sqrt{13}}

Step-by-step explanation:

Let the third side of the triangle be h\: units.


We can apply the cosine rule to find h.


h^2=3^2+4^2-2(3)(4)\cos(60\degree)

We evaluate to obtain;

\Rightarrow h^2=9+16-24(\frac{1}{2})


\Rightarrow h^2=25-12


\Rightarrow h^2=13

We take the positive square root of both sides to obtain;

\Rightarrow h=\sqrt{13}


The correct answer is B.

8 0
3 years ago
Lisa solved 3x2 + 1 = 28 as shown.
Alekssandra [29.7K]

x squared = 9  NOT x

x = square roots of 9 which is +3 or  -3.

4 0
3 years ago
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