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2 years ago

Help me with this question for brainliest please

Mathematics

1 answer:

Pepsi [2]2 years ago

8 0

Answer:

Step-by-step explanation:

We want to find the surface area, which will essentially just be the areas of all the figures given in the net.

We have two congruent triangles and 3 different rectangles.

<u>Triangles</u>:

The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height. The base here is 3 and the height is 4, so:

A = (1/2) * b * h

A = (1/2) * 3 * 4 = 6

Since there are two triangles, multiply 6 by 2: 6 * 2 = 12 cm squared

<u>Rectangles</u>:

The area of a rectangle is denoted by: A = b * h, where b is the base and h is the height.

The base of the leftmost rectangle is 4 and the height is 7, so:

A = b * h

A = 4 * 7 = 28

The base of the middle rectangle is 3 and the height is 7, so:

A = b * h

A = 3 * 7 = 21

The base of the rightmost rectangle is 5 and the height is 7, so:

A = b * h

A = 5 * 7 = 35

Add these together:

12 + 28 + 21 + 35 = 96 cm squared

The answer is thus A.

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Rewrite the system of linear equations as a matrix equation AX = B.

iren2701 [21]

Answer:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]$

And the vector of vriables (X) is:

$\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]$

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

$\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

In conclusion, AX=B is:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

7 0

3 years ago

How could you use 1/4 cup measuring cup to measure the water of 3/4 of a cup

VashaNatasha [74]

Answer:

you fill it 3 times

Step-by-step explanation:

1/4 * 3 = 3/4

8 0

3 years ago

A firefighter sees a woman trapped in a building 15 feet up from the bottom floor. The firetruck is parked 35 feet away from the

serg [7]