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GarryVolchara [31]
2 years ago
7

Calculate the area and perimeter plz help

Mathematics
1 answer:
kramer2 years ago
7 0

Answer:

Figure 1:

Area: 30m^2

Perimeter: 23.6m

Figure 2:

Area: 98.8km^2

Perimeter:56.5km

Step-by-step explanation:

Area is base x height.

To get the perimeter, add up all the sides.

Figure 1:

Area:

6x5=30m^2

Perimeter: 6+5.8+6+5.8=23.6m

Figure 2:

Area:

7.6x13 = 98.8km^2

Perimeter:7.6+15+20+13.9=56.5km

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Convert the following systems of equations to an augmented matrix and use Gauss-Jordan reduction to convert to an equilivalent m
Rasek [7]

Answer:

System of equations:

x_1+2x_2+2x_3=6\\2x_1+x_2+x_3=6\\x_1+x_2+3x_3=6

Augmented matrix:

\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]

Reduced Row Echelon matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]

Step-by-step explanation:

Convert the system into an augmented matrix:

\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]

For notation, R_n is the new nth row and r_n the unchanged one.

1. Operations:

R_2=-2r_1+r_2\\R_3=-r_1+r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&-3&-3&-6\\0&-1&1&0\end{array}\right]

2. Operations:

R_2=-\frac{1}{3}r_2

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&-1&1&0\end{array}\right]

3. Operations:

R_3=r_2+r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&2&2\end{array}\right]

4. Operations:

R_3=\frac{1}{2}r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]

4 0
3 years ago
Please answer this in two minutes
inysia [295]

Answer:

x = 5.7 units

Step-by-step explanation:

By applying Sine rule is the triangle XYZ,

\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinW}}{\text{XY}}

\frac{\text{SinX}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinW}}{\text{10}}

\frac{\text{Sin33}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{Sin107}}{\text{10}}

\frac{\text{Sin33}}{\text{x}}=\frac{\text{Sin107}}{\text{10}}

x=\frac{10\times(\text{Sin33})}{\text{(Sin107)}}

x = 5.69

x ≈ 5.7 units

7 0
3 years ago
Solve for x.<br> -2(x-7)=16
solniwko [45]

Answer:

-1

Step-by-step explanation:

-2(x-7)=16

-2x +14=16 You distribute

      -14 -14

-2x = 2

-2     -2 you divide

and get -1 as your answer.

Hope my answer has helped you!

5 0
2 years ago
Please help me with this for brainliest
lisov135 [29]

Answer:

-8x im pretty sure!!

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.
snow_lady [41]

Answer:

The average rate of speed is 61!

Step-by-step explanation:

183 miles divided by 3 hours of driving is 61 average rate of speed. :)

6 0
2 years ago
Read 2 more answers
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