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3 years ago

The volume of a cube is 1.8 m3. Find the length of its edge to the nearest tenth of a

Mathematics

1 answer:

Firdavs [7]3 years ago

5 0

The length of an edge is the cubic root of the volume.

Cubic root 1.8 = 1.2 meters

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Which is the slope of a line that is perpendicular to the line represented by the equation x-y = 8

Marat540 [252]

Answer:

-1

Step-by-step explanation: from the equation, x-y=8, make y the subject of the formulae , this gives - y= -x +8

divide all through by (-) sign, this gives y= x - 8

from the last equation above, the slope is the coefficient of x which is 1. since it is perpendicula, the answer is -1

by co efficient, we mean the number multiplying the unknown

8 0

3 years ago

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mote1985 [20]

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2 years ago

Decrease £2123 by 8%

Gemiola [76]

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3 years ago

Ubi made a banana cream pie.His brother ate 1/3 of the pie and his sister ate 2/6 of the pie.

tamaranim1 [39]

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3 years ago

The scatter plot shows the average heights of children up to age 5.

Over [174]

Answer:

(a) $y = 4.5x + 22$ -- The equation

(b) 31 inches

Step-by-step explanation:

Given

See attachment

Solving (a): The equation of the trend line.

We start by calculating the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (0,22)$

$(x_2,y_2) = (4,40)$

So, we have:

$m = \frac{40 - 22}{4 - 0}$

$m = \frac{18}{4}$

$m = 4.5$

The equation is then calculated using:

$y = m(x-x_1)+y_1$

Where:

$(x_1,y_1) = (0,22)$

$m = 4.5$

$y = 4.5(x - 0) + 22$

Open bracket

$y = 4.5x - 0 + 22$

$y = 4.5x + 22$

(b) The height of a 2 year old.

To do this, we substitute 2 for x in $y = 4.5x + 22$

$y = 4.5 * 2 + 22$

$y = 9+ 22$

$y = 31$

The prediction is 31 inches

7 0

3 years ago