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dem82 [27]
3 years ago
7

The rectangular sandbox at the local community park has a width of 24.5 meters and its length is 31.7 meters. What is the perime

ter, in meters, of the rectangular sandbox?
Mathematics
1 answer:
eduard3 years ago
5 0
The answer is 112.4 because 24.5+24.5+31.7+31.7=112.4.
You might be interested in
(12x + y + z = 26
mel-nik [20]

Option D. D has the matrix of constants [[12], [11], [4]].

Step-by-step explanation:

Step 1:

With the given equations, we can form matrices to represent them.

The coefficients of x, y, and z form a matrix of order 3 ×3, the variables x, y, and z form a matrix of order 1 ×3 and the constants form a matrix of order 1 ×3.

Step 2:

The linear system A is represented as

\left[\begin{array}{ccc}12&1&1\\1&-11&0\\1&-1&4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}26\\17\\23\end{array}\right].

Step 3:

The linear system B is represented as

\left[\begin{array}{ccc}4&1&1\\1&-11&0\\1&-1&12\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}23\\17\\26\end{array}\right].

Step 4:

The linear system C is represented as

\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}4\\11\\12\end{array}\right].

Step 5:

The linear system D is represented as

\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}12\\11\\4\end{array}\right].

Step 6:

Of the four options, the linear system D has the matrix of constants [[12], [11], [4]]. So the answer is option D. D.

4 0
3 years ago
Can someone help me plz
umka2103 [35]

Step-by-step explanation:

Equation: 4(3+x)=36

First step:

(4*3)+(4*x)=36

Second step:

12+4x=36

Third step:

4x=36-12\\4x=24

Fourth step:

x=\frac{24}{4}\\ x=6

4 0
3 years ago
What is the product of 0.51 × 0.24?<br><br> 0.1224<br> 1.124<br> 11.24<br> 1124
natima [27]
0.52 x 0.24 means "about a half times 0.24". Given the multiple choice answers, the correct answer is therefore 0.1224 (since this is the only one smaller than 0.24).

Proof:
0.50 × 0.24 = 0.12
0.01 × 0.24 = 0.0024
And therefore 0.51 × 0.24 = 0.12 + 0.0024 = 0.1224
6 0
3 years ago
Read 2 more answers
The graph of f(x) =sqrt of x is reflected across the x-axis and then across the y-axis to create the graph of function g(x). Whi
pickupchik [31]

The original function is

f(x)=√x

As this is condition for √x function, x≥ 0

So,

Domain= [0, infinity)

Range= [0, infinity)


After the reflection across x-axis and y-axis, we get a function,

g(x)=-√-x

-x≥ 0 means x≤ 0,

So,

Domain= (-infinity, 0]

Range= (-infinity, 0]


From this you can see that

-The only value that is in the domains of both functions is 0.

-The range of g(x) is all values less than or equal to 0.


only these points are correct and all other points are wrong.


See the attached graphs for both functions.



7 0
2 years ago
Read 2 more answers
For the Rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums to 78. For an 10 month period
Svetllana [295]
For a 10 month period the last term is 10 and the series sum is 55. For a 15 month period the last term is 15 and the sum is 120. For a 20 month period the last term is 20.
If u want the sum then it is 210.

Hope this helps you!
5 0
3 years ago
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