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3 years ago

11

Mathematics

1 answer:

Blababa [14]3 years ago

7 0

Answer:

See below

Step-by-step explanation:

The question in full is attached

The pond is 2 feet = 2*12 inches = 24 inch each side

Each side is 24/3 = 8 tiles long

The first border line (yellow) has:

(8+1)*4 = 36 tiles

The second line (green) has:

(9 + 1)*4 = 40 tiles and so on

Each following line has 4 more tiles

a) As AP sequence it looks as:

36, 40, 44, ..

the first term = 36
common difference = 4

b) Considering the alternating colors,

Yellow sequence:

36, 44, 52, ..
The first term = 36
Common difference = 8

Green sequence:

40, 48, 56 ..
The first term = 40
Common difference = 8

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. Out of 40 pupils only 30 pupils submitted their project on time

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Answer:

75 %

Step-by-step explanation:

To solve for the above question,

The percentage of pupils that submitted their project on time

= Number of pupils that submitted their project on time/Number of pupils × 100

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3 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

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The coordinates of a quadrilateral are (1, 2), (4,2), (1.4), and (4,4). After a transformation, the new coordinates are (1, -2),

Lostsunrise [7]

Answer:

reflection across the x-axis

Step-by-step explanation:

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3 years ago

A proportional relationship is shown in the table below: what is the slope and what numbers do i graph. ty besties

dangina [55]

Answer:

The slope of the line is $m = \frac{3}{5}$ and the equation of the line is $y = \frac{3}{5}\cdot x$ .

Step-by-step explanation:

From table we understand that slope of the line is constant, that is, for each change of $x$ there is one and only change in $y$ , fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:

$m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}$ (1)

Where:

$x_{o}, x_{f}$ - Initial and final x-coordinates of the line.

$y_{o}, y_{f}$ - Initial and final y-coordinates of the line.

If we know that $(x_{o}, y_{o}) = (0,0)$ and $(x_{f},y_{f}) = (8,4.8)$ , then the slope of the line is:

$m = \frac{4.8-0}{8-0}$

$m = \frac{3}{5}$

From graph we conclude that x-intercept of the line is $b = 0$ . Hence, the equation of the line is $y = \frac{3}{5}\cdot x$ and we proceed to plot the expression with the help of a graphing tool.

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3 years ago