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maxonik [38]
3 years ago
7

Pinto is planning to paint the walls of a bedroom that is 20 feet long, 15 feet wide, and 8 feet high. Is he too has 1 gallon of

paint that covers 400 ft.², how many additional gallons of paint does he need?
Mathematics
1 answer:
eimsori [14]3 years ago
5 0

Answer:

0.4 gallons

Step-by-step explanation:

Length of a bedroom= 20 feet

Breadth of a bedroom= 15 feet

Height of a bedroom= 8 feet

Area of walls of a bedroom= 2(l+b)×h

Area of walls of a bedroom=2(20+15)×8 ft^{2}

Area of walls of a bedroom= 2× 35×8  ft^{2}

Area of walls of a bedroom=560  ft^{2}

Amount of paint in 1 gallon = 400 ft^{2}

Number of gallons required= \frac{560}{400}

Number of gallons required= 1.4 gallons

Hence, 0.4 extra gallons required

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Answer:

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Step-by-step explanation:

\textup{Given equation is: $4x + 36y = 80  $}\\\textup{This can be written in the form of $y = mx + a$ as follows}\\$ 36y = -4x + 80 $\\$ \implies y = \frac{80}{36} - \frac{4}{36}x $\\$ \implies y = \frac{-1}{9}x + \frac{20}{9} $\\\textup{This means that the slope of this line is $m = \frac{-1}{9}$}\\

\textup{Then the slope of the line perpendicular to this line would be \textbf{negative reciprocal of m}.}\\$i.e.,$ \textup{Slope of the perpendicular line would be $m_1 = \frac{-1}{\frac{-1}{9}}$}\\$\implies m_1 = 9$\\

\textup{The perpendicular line passes through the point $(3,6)$}\\\textup{Using the \textbf{point-slope formula}, we get:}\\

$$ y - y_1 = m(x - x_1) $$$ \implies y - 6 = 9(x - 3) $\\\textup{After solving this reduces to $y = 9x + 21$ }

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