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sattari [20]
3 years ago
6

What is the product?

Mathematics
2 answers:
Maurinko [17]3 years ago
5 0

Answer:

option C

  15         14

  -1           9

Step-by-step explanation:

Given in the question a 2x3 and 3x2 matrix

Since, the column of first matrix and row of second matrix is of equal integer, 3, so we can multiply them.

The resultant matrix will be of 2x2

We will use dot product

  1(2) + 3(3) + 1(4)              1(-2) + 3(5) + 1(1)      

-2(2) + 1(3) + 0(4)             -2(-2) + 1(5) + 0(1)  

      15         14

      -1          9

 

Savatey [412]3 years ago
5 0

<u>Answer:</u>

The correct answer option is:

\left[\begin{array}{ccc}15&14\\-1&9\\\end{array}\right]

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

For two matrices to be multiplied, the number of columns in the first matrix should be equal to the number of rows in the 2nd one.

Then we multiply the elements of each row of the first matrix by the elements of each column in the second matrix and add them.

(1 \times 2)+(3 \times 3)+(1 \times 4) =2+9+4=15

(1 \times -2)+(3 \times 5)+(1 \times 1) =-2+15+1=14

(-2 \times 2)+(1 \times 3)+(0 \times 4) =-4+3+0=-1

(-2 \times 2)+(1 \times 5)+(0 \times 1) =4+5+0=9

So we get:

\left[\begin{array}{ccc}15&14\\-1&9\\\end{array}\right]

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The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

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Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

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Area of the rectangle (2) = Length × Width

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Area of the trapezoid (3) = \frac{1}{2}(12+10)\times 11

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Now area of the wall = 69 + 180 + 121

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One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

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Step-by-step explanation:

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