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inn [45]
3 years ago
13

Zhi needs new flooring for her two laundry rooms.each room is 4.5 feet long and 4.5 feet wide . How much are will the flooring n

eed to cover
Mathematics
2 answers:
klio [65]3 years ago
7 0

Answer: 40.5 square feet

Step-by-step explanation:

Given : Zhi needs new flooring for her two laundry rooms.each room is 4.5 feet long and 4.5 feet wide .

We assume that the room is rectangular in shape .

Area of rectangle = Length x width

Then area of one laundry room = 4.5  feet x 4.5 feet = 20.25 square feet

Area of two laundry room = 2 x 20.25 = 40.5 square feet.

Hence, The flooring need to cover a total of <u>40.5 square feet</u> of area.

skelet666 [1.2K]3 years ago
7 0

Answer:

20.25

Step-by-step explanation:

4.5 x 4.5 = 20.25

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Whats 92 divided by 2.7
Stells [14]

Answer:

34.074

Step-by-step explanation:

7 0
3 years ago
Triangle QRS is dilated according to the rule DO,2 (x,y).
pogonyaev
I found the correct image that accompanies this problem and edited it with my answers.. Pls. see attachment. 

Based on the attachment, the correct statements are:

<span>1) DO,2 (x,y) = (2x, 2y)
2) Side Q'S' lies on a line with a slope of -1.
Q'(-6,6) S'(-2,2) 
m = y1 - y2 / x1 - x2
m = 6 - 2 / -6 - (-2)
m = 4 / -4
m = -1
</span><span>5) The distance from Q' to the origin is twice the distance from Q to the origin.

</span>

8 0
3 years ago
Read 2 more answers
Jackson used 8/9 of a case of soda to fill 1/3 of the soda machine. How many cases does it take to fill the soda machine?
lorasvet [3.4K]
Jackson used 8/9 of a case of soda to fill 1/3 of the soda machine.
how many cases does it take to fill the soda machine = ?
1/3 means three parts of the soda machine, it means if we fill with 8/9 of a case three times soda machine will be full so,
8/9 + 8/9 + 8/9 = 24/9 
it means it takes the case of soda between 2 and 3.
2.667 approx. cases of soda it take to fill the soda machine.
8 0
3 years ago
Find the line through
Kaylis [27]

Answer:

(\frac{1}{2},\frac{-1}{2},\frac{1}{2})

Step-by-step explanation:

We have been given the intersection coordinates:

(7,1,-6) and perpendicular to the line x=-1+t ,y=-2+t and z=-1+t

From the condition of perpendicularity we know:  

(7,1,-6)(x,y,z)

\Rightarrow 7x+y-6z=0

Now, we have given x=-1+t , y=-2+t and  z= -1+t

7(-1+t)+(-2+t)-6(-1+t)=0

-7+7t-2+t+6-6t=0

\Rightarrow -3+2t=0

2t=3

t=\frac{3}{2}

Now, substituting t in the given coordinates x,y and z we get:

x=-1+\frac{3}{2}=\frac{1}{2}

y=-2+\frac{3}{2}=\frac{-1}{2}

And z=-1+\frac{3}{2}=\frac{1}{2}



3 0
3 years ago
Read 2 more answers
Determine whether the set of all linear combinations of the following set of vector in R^3 is a line or a plane or all of R^3.a.
Temka [501]

Answer:

a. Line

b. Plane

c. All of R^3

Step-by-step explanation:

In order to answer this question, we need to study the linear independence between the vectors :

1 - A set of three linearly independent vectors in R^3 generates R^3.

2 - A set of two linearly independent vectors in R^3 generates a plane.

3 - A set of one vector in R^3 generates a line.

The next step to answer this question is to analyze the independence between the vectors of each set. We can do this by putting the vectors into the row of a R^(3x3) matrix. Then, by working out with the matrix we will find how many linearly independent vectors the set has :

a. Let's put the vectors into the rows of a matrix :

\left[\begin{array}{ccc}-2&5&-3\\6&-15&9\\-10&25&-15\end{array}\right] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix  ⇒

\left[\begin{array}{ccc}-2&5&-3\\0&0&0\\0&0&0\end{array}\right]

We find that the second vector is a linear combination from the first and the third one (in fact, the second vector is the first vector multiply by -3).

We also find that the third vector is a linear combination from the first and the second one (in fact, the third vector is the first vector multiply by 5).

At the end, we only have one vector in R^3 ⇒ The set of all linear combinations of the set a. is a line in R^3.

b. Again, let's put the vectors into the rows of a matrix :

\left[\begin{array}{ccc}1&2&0\\1&1&1\\4&5&3\end{array}\right] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒

\left[\begin{array}{ccc}1&1&1\\0&1&-1\\0&0&0\end{array}\right]

We find that there are only two linearly independent vectors in the set so the set of all linear combinations of the set b. is a plane (in fact, the third vector is equivalent to the first vector plus three times the second vector).

c. Finally :

\left[\begin{array}{ccc}0&0&3\\0&1&2\\1&1&0\end{array}\right] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒

\left[\begin{array}{ccc}1&1&0\\0&1&2\\0&0&3\end{array}\right]

The set is linearly independent so the set of all linear combination of the set c. is all of R^3.

4 0
3 years ago
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