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pentagon [3]
3 years ago
11

The width of a rectangle is 1/2 of its length. what are the sides of the rectangle if its perimeter in 63 in?

Mathematics
2 answers:
lesya [120]3 years ago
7 0
The length is: 42 inches
The width is : 21 inches
Bezzdna [24]3 years ago
7 0
This is the right ans...........

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Determine whether the set of vectors is a basis for ℛ3. Given the set of vectors , decide which of the following statements is t
schepotkina [342]

Answer:

(A) Set A is linearly independent and spans R^3. Set is a basis for R^3.

Step-by-Step Explanation

<u>Definition (Linear Independence)</u>

A set of vectors is said to be linearly independent if at least one of the vectors can be written as a linear combination of the others. The identity matrix is linearly independent.

<u>Definition (Span of a Set of Vectors)</u>

The Span of a set of vectors is the set of all linear combinations of the vectors.

<u>Definition (A Basis of a Subspace).</u>

A subset B of a vector space V is called a basis if: (1)B is linearly independent, and; (2) B is a spanning set of V.

Given the set of vectors  A= \left(\begin{array}{[c][c][c][c]}1 & 0 & 0 & 0\\ 0 & 1 & 0 & 1\\ 0 & 0 & 1 & 1\end{array} \right) , we are to decide which of the given statements is true:

In Matrix A= \left(\begin{array}{[c][c][c][c]}(1) & 0 & 0 & 0\\ 0 & (1) & 0 & 1\\ 0 & 0 & (1) & 1\end{array} \right) , the circled numbers are the pivots. There are 3 pivots in this case. By the theorem that The Row Rank=Column Rank of a Matrix, the column rank of A is 3. Thus there are 3 linearly independent columns of A and one linearly dependent column. R^3 has a dimension of 3, thus any 3 linearly independent vectors will span it. We conclude thus that the columns of A spans R^3.

Therefore Set A is linearly independent and spans R^3. Thus it is basis for R^3.

8 0
3 years ago
Please answer this quickly !
nika2105 [10]

Answer:

The first option.

Because we're solving for the price of each gallon, x will represent the cost of each gallon. Since 8.4 is the total amount of gallons, multiply 8.4 and x to get $23.94. Solve for x by dividing 23.94 to get $2.85 per gallon. To check this, substitute 2.85 for x into the equation: 8.4 (2.85) = 23.94

4 0
3 years ago
Who walks at a faster rate: someone who walks 60ft in 10sec or someone who walks 42ft in 6sec
julia-pushkina [17]

Answer:

42 ft in 6 seconds

Step-by-step explanation:

The person whom walks a greater distance in lees time is faster

7 0
3 years ago
I need to find the x pls help and show work
valentinak56 [21]

Answer:

--------------------------------------------

It is 9

--------------------------------------------

Step-by-step explanation:

--------------------------------------------

If the top and the bottom are the same, (shown in the larger model), then the top and bottom in the smaller model should be the same, which gives me 9.

--------------------------------------------

Good luck!

3 0
2 years ago
What is the outlier of the data set 7, 15, 15, 15, 13, 7, 9, 11, 24
eduard

Answer:

24

Step-by-step explanation:

The outlier is the value that is far from the other values in the set

24 is far from the other values

7 0
3 years ago
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