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zzz [600]
2 years ago
14

Determine if each set of side lengths could be used to create a triangle. *Explain your reasoning.*

Mathematics
1 answer:
grin007 [14]2 years ago
6 0

Answer:

See below

Step-by-step explanation:

By the Triangle Inequality Theorem, if given side lengths a, b, and c, where c is the longest side, then a+b\geq c

<u>Problem A</u>

This set of side lengths creates a triangle since 2+6\geq7

<u>Problem B</u>

This set of side lengths creates a triangle since 3+3\geq 3, which is known as  an equilateral triangle since all of its side lengths are equal to each other

<u>Problem C</u>

This set of side lengths creates a triangle since 5+7\geq 12

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An item is regularly priced at $70. Keiko bought it on sale for 80% off the regular price. How much did Keiko pay? $
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Answer:

$14

Step-by-step explanation:

80% of $70 is $14, saving him $56

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2 years ago
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A circle has been split into 8 sectors each of which can be colored as 4 different colors, and no consecutive sectors are colore
Eva8 [605]

Answer:

5832 ways

Step-by-step explanation:

Since the circle has 8 sectors and there is 4 colour,

Assuming the sectors are numbered 1 to 8,

Sector 1 : can be coloured with any of the 4 colour in 4 ways

Sector 2 can be coloured with any of the remaining 3 colours in 3 ways

Sector 3 in 3 ways without using the colour in sector 2

Sector 4 in 3 ways without using the colour in sector 3

Sector 5 in 3 ways without using the colour in sector 4

Sector 6 in 3 ways without using the colour in sector 5

Sector 7 in 3 ways without using the colour in sector 6

Sector 8 in 2 ways without using the colours in sector 1 and 7

Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways

3 0
3 years ago
The cost y (in dollars) to rent a lane at the bowling alley is proportional to the number x of hours that you rent the lane. It
Alika [10]

Answer:

a) y = 9x

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a) Since it costs $18 for 2 hours we can infer that for every 1 hour it costs $9.

So, the equation would look like this:

y = 9x

b) In this context, for every increase of 1 hour the price to rent the lane increases by $9. Like the question gave us, the price for 2 hours cost $18.

c) Plug 3 into the equation:

y = 9(3)

y = 27

Therefore, it costs $27 to rent the lane for 3 hours.

<em>I hope this helps!!</em>

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yanalaym [24]
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To generate each of the red points, you'll plug in various x values to get corresponding y values.

For instance, plug in x = 0 and we get...
y = -|x-6| - 6
y = -|0-6| - 6
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y = -6 - 6
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So when x = 0, the y value is -12. The x and y value pair up to get (x,y) = (0,-12)

Another example: plug in x = 2
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y = -|2-6| - 6
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The idea is to generate as many points as possible so we get an idea of what this thing looks like. 

Generate enough points, and you'll get what you see in Figure 1 (see attached image)

Then draw a line through all of the points. The more points you use, the more accurate the drawing. Doing that will generate the blue function curve you see in Figure 2 (also attached)

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How do u draw a double number line for 2/3 divided by 4?
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2/3 divided by 4= 2/3x1/4 (flip 4 around). 2x1=2 & 3x4=12. 2/12 or 1/6
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