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Fudgin [204]
2 years ago
5

You paint four walls. Each wall is a rectangle with a length of 20 feet and a height of 12 feet. One gallon of paint covers abou

t 320 square feet. How many gallons of paint do you need in order to cover the walls?
Mathematics
1 answer:
Naddik [55]2 years ago
5 0

Answer:

3 gallons

Step-by-step explanation:

Each wall 12 x 20 = 240 feet squared

4 walls =  4 x 240 = 960 squared feet

960 divided into 320 = 3

1 gallon --------320

1 gallon------------320

1 gallon-----------320

                    3 gallons----------960

 

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Find two unit vectors orthogonal to both given vectors. i j k, 4i k
Maurinko [17]
The cross product of two vectors gives a third vector \mathbf v that is orthogonal to the first two.

\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k

Normalize this vector by dividing it by its norm:

\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)

To get another vector orthogonal to the first two, you can just change the sign and use -\mathbf v.
6 0
3 years ago
I need help with these 2 problems I cant figure out.
Alla [95]

I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.

2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)

Next, I add 20 on both sides.

2x + 90 + 3x = 200º

I combine like terms (2x and 3x)

5x + 90 = 200º

I subtract 90 from both sides.

5x = 110º

Divide 110 by 5 to get x.

x = 22

======

For problem two, I label all the angles I know.

49º + 80º + r = 180º

I add 80 and 49.

129º + r = 180º

I subtract 180 and 129 and get 51º, which is your angle for R.

For angle X, you know that angle R plus angle X equals half of a circle, which is 180º

We know from before that 129º is 180º without R, so X is 129º

I hope this helps! Let me know if I'm wrong!

5 0
3 years ago
Write an equation of the line that passes through the point (1,3) and has a slope of -2
jek_recluse [69]

Answer:

y= -2x+1

Step-by-step explanation:

y=mx+b

y= -2x +b

3= -2(1) +b

3= -2 +b

b=1

y= -2x+1

4 0
2 years ago
PLS 40 points
Pavlova-9 [17]
<h2>2x+y=2</h2>

Step-by-step explanation:

Let p1 be the point (-1,4)

Let p2 be the point (3,-4)

The equation of the line passing through two points p1=(x_{1},y_{1})

and p2=(x_{2},y_{2}) is \frac{y-y_{1}}{x-x_{1}} =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

substituting p1,p2 in the above equation yields

\frac{y-4}{x-(-1)}=\frac{-4-4}{3-(-1)}

which when simplified gives \frac{y-4}{x+1}=\frac{-8}{4}

which when further simplified gives 2x+y=2

5 0
3 years ago
The formula for perimeter of a rectangle is P=2L+2W where L is the length and w is the width. A rectangle has a perimeter of 24
Black_prince [1.1K]
24=2(w+4)+2w=4w+8, subtract 8 from both sides 4w=16, w=4. L=w+4 so l is 8. The dimensions are 8 by 4.
8 0
3 years ago
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