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never [62]
3 years ago
14

The length of a rectangle is 1/3 of its width. The width of the rectangle is 9 feet. What is the area of the rectangle?

Mathematics
1 answer:
rewona [7]3 years ago
4 0

Answer:

Area = 27 feet

Step-by-step explanation:

Width = 9 feet

Length = 1/3 times width

            = 1/3 (9)

            = 3 feet

Length = 3 feet

Width = 9 feet

Area = Length times Width

Area = 3 x 9

Area = 27 feet

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Please Find the value of x and y
Free_Kalibri [48]

Answer: x=40° and y=140°

Step-by-step explanation:

From the figure, we know that x and 40 are vertical angles. Therefore, they are equal to each other.

x=40°

With the value of x, we know that x and y are supplementary angles. That means they are equal to 180°.

40+y=180       [subtract both sides by 40]

y=140°

Now we know x=40° and y=140°.

4 0
2 years ago
What is the length of the tabletop
zzz [600]
The table's length is 186 centimeters..........................
5 0
3 years ago
Zoe shows her work in finding the solution to 9 – 7x = 7 – 4(2x 3). which choice describes the error in her solution?
FinnZ [79.3K]
I'll assume the above equation is: 9 - 7x = 7 - 4(2x+3)

* do distributive multiplication
9 - 7x = 7 - 8x - 12

*move like terms
-7x + 8x = 7 - 12 - 9

* solve for x
x = 7 - 21
x = -14

To check, substitute x by its value -14

9 - 7x = 7 - 4(2x+3)
9 - 7(-14) = 7 -4[2(-14) + 3]
9 + 98 = 7 - 4(-28 +3)
107  = 7 - 4(-25)
107 = 7 + 100
107 = 107
5 0
3 years ago
For waht values of x do the vectors -1,0,-1), (2,1,2), (1,1, x) form a basis for R3?
DaniilM [7]
<h2>Answer:</h2>

The values of x for which the given vectors are basis for R³ is:

                        x\neq 1

<h2>Step-by-step explanation:</h2>

We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.

We are given three vectors as:

(-1,0,-1), (2,1,2), (1,1, x)

The matrix formed by these vectors is:

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

Now, the determinant of this matrix is:

\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-1(x-2)-2(1)+1\\\\\\\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-x+2-2+1\\\\\\\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-x+1

Hence,

-x+1\neq 0\\\\\\i.e.\\\\\\x\neq 1

4 0
3 years ago
This quiz needs a reason and an answer
Len [333]

y = -13, 13

There are two answers because you are taking the square root of a number. If we go the other way, to check our work, (-13)^2 = 169 and (13)^2 = 169.

Hope this helps! :)

7 0
2 years ago
Read 2 more answers
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