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vredina [299]
3 years ago
9

Speaker placement. a stereo receiver is in a corner of an 18​-ft by 24​-ft room. speaker wire will run under a​ rug, diagonally,

to a speaker in the far corner. if 4 feet of slack is required on each​ end, how long a piece of wire should be​ purchased?
Mathematics
1 answer:
hoa [83]3 years ago
6 0
The length of wire to be purchased will be found as follows:
c²=a²+b²
c²=18²+24²
c²=900
c=√900
c=30 ft
Thus the length of the wire will be:
30+4+4
=38 ft


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<h3>What are algebraic expressions?</h3>

Algebraic expressions are defined as expressions made up of terms, constants, coefficients, factors and variables.

They may also include certain mathematical or arithmetic operations which includes;

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Given the equation;

(0.020) (0.030) / (0.10)x = 2.3 × 10-4

We can simply the equation following the steps;

expand the brackets, we have;

6× 10^-4/ 0.10x = 2.3 × 10^-4

Now, cross multiply

0.10x × 2.3 × 10^-4 = 6× 10^-4

Divide both sides by 2.3 × 10^-4

0. 10x =  6× 10^-4/2.3 × 10^-4

Find the quotient

0. 10x = 2. 608

Let's make the variable 'x' by dividing both sides by it's coefficient

0. 10x/0.10 = 2. 608/0. 10

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The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

The given system of equations is:

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Equate equations (1) and (2)

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Solve for x in the equation above

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Substitute x = 7 into equation (1)

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The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

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