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Vika [28.1K]
3 years ago
8

Paul plans to put concrete on a rectangular portion of his driveway. The portion is 12 feet long and six inches high. The price

of concrete is $98 per cubic yard. The total cost of the concrete Paul needs is $108.89. Which of the following is closest to the width of the portion of the driveway on which Paul plans to put concrete?
[1 foot = 12 inches; 1 yard = 3 feet]

a) 3 feet
b) 5 feet
c) 8 feet
d) 10 feet
Mathematics
2 answers:
hammer [34]3 years ago
8 0
The answer would be B I took the test right now and got 100%
coldgirl [10]3 years ago
3 0
The width needed would be 5 feet, so B. 
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17x-3y=4 2x-4y=1 the solution to the system of equations is
Burka [1]

ANSWER

x=\frac{13}{62}

and


y= \frac{-9}{62}e have



EXPLANATION




17x-3y=4---(1)


2x-4y=1



Let us make y the subject and call it equation (2)


2x=1+4y


x=\frac{1}{2}+2y--(2)



We put equation (2) in to equation (1)




17(\frac{1}{2}+2y)-3y=4


\frac{17}{2}+34y-3y=4



34y-3y=4- \frac{17}{2}


Simplify to get,



31y= \frac{8-17}{2}



31y= \frac{-9}{2}


Divide both sides by 31,



y= \frac{-9}{2} \div 31



y= \frac{-9}{2} \times \frac{1}{31}




y= \frac{-9}{62}


We put this value in to equation (2) to get,



x=\frac{1}{2}+2\times -\frac{9}{62}




x=\frac{1}{2} -\frac{18}{62}


We collect LCM to obtain,



x=\frac{31-18}{62}



x=\frac{13}{62}








7 0
3 years ago
Write a third-degree polynomial function whose zeros are 1, −3, and 4.
WARRIOR [948]
Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:

(x - 1)(x + 3)(x - 4)

Now, if you multiply the first two factors together, you get the following:

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Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped!


8 0
3 years ago
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Use a half-angle identity to find the exact value of sinPi/8
stellarik [79]

Answer:

  sin(π/8) = (1/2)√(2-√2)

Step-by-step explanation:

Using the half-angle formula ...

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We can let θ = π/4 and simplify the result as follows:

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