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Inessa05 [86]
3 years ago
10

Calculate the speed traveled for each situation below and then put them in

Mathematics
1 answer:
enyata [817]3 years ago
8 0
<h3><u>Put them in  order from least to greatest</u></h3><h3>Moving 12 km in 40  minutes = 0.3 km/min</h3><h3>Moving 6 km in 15 minutes = 0.4 km/min</h3><h3>Moving 10 km in 20  minutes = 0.5 km/min</h3><h3>Moving 18 km in 30  minutes = 0.6 km/min</h3>

<em><u>Solution:</u></em>

<em><u>The speed is given by formula:</u></em>

speed = \frac{distance}{time}

<em><u>Moving 12 km in 40  minutes</u></em>

speed = \frac{12}{40} = 0.3\ km/min

<em><u>Moving 18 km in 30  minutes</u></em>

speed = \frac{18}{30} = 0.6\ km/min

<em><u>Moving 6 km in 15 minutes</u></em>

speed = \frac{6}{15} = 0.4\ km/min

<em><u>Moving 10 km in 20  minutes</u></em>

speed = \frac{10}{20} = 0.5\ km/min

<em><u>Put them in  order from least to greatest</u></em>

Moving 12 km in 40  minutes = 0.3 km/min

Moving 6 km in 15 minutes = 0.4 km/min

Moving 10 km in 20  minutes = 0.5 km/min

Moving 18 km in 30  minutes = 0.6 km/min

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a*(b+ c) = (a*b ) + (a * c)

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Step-by-step explanation:

Cubes have square faces, so the area of the base is b².

The volume of the cube is b³.

The height of each pyramid is half the height of the cube, so h = b/2.  Which means b = 2h.

The cube is made of 6 square pyramids with the same base and height.  Therefore, each pyramid has 1/6 the volume of the cube.  So the volume of each pyramid is b³/6.

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Factorise 9w² - 100<br><br><br>​
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Answer:

9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10).

Step-by-step explanation:

Fact:

\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}.

In other words, (a^{2} - b^{2}), the difference of two squares in the form a^{2} and b^{2}, could be factorized into (a - b)\, (a + b).

In this question, the expression (9\, w^{2} - 100) is the difference between two terms: 9\, w^{2} and 100.

  • 9\, w^{2} is the square of 3\, w. That is: (3\, w)^{2} = 9\, w^{2}.
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Hence:

9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}.

Apply the fact that a^{2} - b^{2} = (a - b) \, (a + b) to factorize this expression. (In this case, a = 3\, w whereas b = 10.)

\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}.

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The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
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Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

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The initial temperature is 0

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The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

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x° =  - 3.5

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