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Lostsunrise [7]
2 years ago
15

How many 3 digit numbers can you make using these numbers: 4,2,9 (numbers can be reapeated)

Mathematics
1 answer:
bogdanovich [222]2 years ago
8 0

Answer:

You can make 27 different 3 digit numbers

Step-by-step explanation:

Since we can use 3 different numbers this means that each of the 3 digits can be one of the 3 numbers (4,2,9). This means that there are 3 different values for the first digit, 3 different values for the second digit, and 3 different values for the third digit, which mean that we can make 3 x 3 x 3 different 3 digit numbers (we took the number of possible values for each digit and multiplied them together.

3 x 3 x 3 = 27

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What is the area of a triangle whose vertices are (4,0), (2,
yan [13]

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The correct option is;

b) 0 sq, units

Step-by-step explanation:

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(4, 0), (2, 3), (8, -6)

The distance formula fr finding the length of a segment is given as follows;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

Where, (x₁, y₁) and (x₂, y₂) are the coordinates of the end points of the line

For the points (4, 0) and (2, 3) , we have;

√((3 - 0)² + (2 -4)²) = √13

Distance from (4, 0) to (2, 3) = √13

For the points (4, 0) and (8, -6) , we have;

√((-6 - 0)² + (8 -4)²) = √13 =

Distance from (4, 0) to (8, -6) = 2·√13

For the points (2, 3) and (8, -6) , we have;

√((-6 - 3)² + (8 -2)²) = 3·√13 =

Distance from (2, 3) to (8, -6) = 3·√13

Therefore, the perimeter of the triangle = 6·√13

The semi perimeter s = 3·√13

The area of the triangle,  A  = \sqrt{s\cdot \left (s-a  \right )\cdot \left (s-b  \right ) \cdot \left ( s-c  \right )}

Where;

a, b, and c are the length of the sides of the triangle;

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Therefore, the area = 0 sq, units.

6 0
3 years ago
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