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const2013 [10]
3 years ago
13

It is recommended that one fire extinguisher be available for every 4,520 square feet in a building. Write and solve an equation

to determine x, the number of fire extinguishers needed for a building that has 88,140 square feet.
Mathematics
1 answer:
Stels [109]3 years ago
3 0

Answer:

There are 19.5 extinguishers needed.

Step-by-step explanation:

Given that,

One fire extinguisher be available for every 4,520 square feet in a building.

We need to find the value of x if the number of fire extinguishers needed for a building that has 88,140 square feet.

x = (Area of building)/(Area of one fire extinguisher)

So,

x=\dfrac{88140}{4520}\\\\x=19.5

So, there are 19.5 extinguishers needed.

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Solve 5x^2 − 3x + 17 = 9.
Vedmedyk [2.9K]

Answer:

The roots of the equation are x = \frac{3+\sqrt{151}i}{10} and x = \frac{3-\sqrt{151}i}{10}

and there are no real roots of the equation given above

Step-by-step explanation:

To solve:

5x² − 3x + 17 = 9

or

⇒ 5x² − 3x + 17 - 9 = 0

or

⇒ 5x² − 3x + 8 = 0

Now,

the roots of the equation in the form ax² + bx + c = 0 is given as:

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

in the above given equation

a = 5

b = -3

c = 8

therefore,

x = \frac{-(-3)\pm\sqrt{(-3)^2-4\times5\times8}}{2\times5}

or

x = \frac{3\pm\sqrt{9-160}}{10}

or

x = \frac{3+\sqrt{-151}}{10} and x = \frac{3-\sqrt{-151}}{10}

or

x = \frac{3+\sqrt{151}i}{10} and x = \frac{3-\sqrt{151}i}{10}

here i = √(-1)

Hence,

The roots of the equation are x = \frac{3+\sqrt{151}i}{10} and x = \frac{3-\sqrt{151}i}{10}

and there are no real roots of the equation given above

7 0
3 years ago
David has $40,000 in a savings account. The interest rate is 5% per year. How much
Dmitry_Shevchenko [17]

Answer:

$4,537.55

Step-by-step explanation:

I did it on paper and you gotta calculate it, Hope this helps!

5 0
3 years ago
Lines 1 and 2 are parallel. Find the measure of x.
Vesnalui [34]

Answer:

d

Step-by-step explanation:

180-63 is 117

a line is 180 all together so therefore if we subtract the 63, we get the answer we want

7 0
3 years ago
Read 2 more answers
Mike has two containers, One container is a rectangular prism with width 2 cm, length 4cm, and height 10cm. The other is a cylin
saul85 [17]

so, we know both the rectangular prism and the cylinder got filled up to a certain height each, the same height say "h" cm.

we know the combined volume of both is 80 cm³, so let's get the volume of each, sum them up to get 80 then.


\bf \stackrel{\stackrel{\textit{volume of a}}{\textit{rectangular prism}}}{V=Lwh}~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=4\\ w=2\\ \end{cases}~\hspace{2em}\stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \stackrel{\textit{prism's volume}}{(4)(2)(h)}~~+~~\stackrel{\textit{cylinder's volume}}{(\pi )(1)^2(h)}~~=~~80 \\\\\\ 8h+\pi h=80\implies h(8+\pi )=80\implies h=\cfrac{80}{8+\pi }\implies h\approx 7.180301999

7 0
4 years ago
What are the numbers of pi
guapka [62]

Answer:

3.14159265358979323846264338 and so forth

Step-by-step explanation:

I hope this helps

4 0
3 years ago
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