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Kazeer [188]
4 years ago
15

HELP Find the number of non-degenerate triangles whose vertices are three of the points on this six-point star.

Mathematics
1 answer:
andreyandreev [35.5K]4 years ago
7 0

Answer:

20

Step-by-step explanation:

The number of combinations of 6 points taken 3 at a time is ...

6!/(3!·(6-3)!) = 6·5·4/(3·2·1) = 5·4 = 20

___

If you number the points 1–6, the points of the 20 triangles will be ...

123 124 125 126 134

135 136 145 146 156

234 235 236 245 246

256 345 346 356 456

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Answer:

Lateral Area = 176 cm²

Step-by-step explanation:

The prism is a rectangular prism

Formula for Lateral Area of the rectangular prism = 2(l + b)*h

Where,

Length (l) = 4 cm

Breadth (b) = 4 cm

Height (h) = 11 cm

Plug in the values

Lateral Area = 2(4 + 4)*11

= 2(8)*11

= 16*11

= 176 cm²

6 0
3 years ago
The steamboat River Queen travels at the rate of 30km/h in still water. If it can travel 45 km up stream in the same amount of t
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6 0
3 years ago
There are 13 bagels in a baker's dozen. Hillary,Mark, and Tam share the bagels equally. Will each friend get more than or fewer
vaieri [72.5K]

Answer:

Each friend will get more than 4 whole bagels.

Step-by-step explanation:

First off, although the question asks for 13 bagels divided between 3 friends, let's use a number that results in a whole number when divided by 3, but is close to 13.

This number can be 12.

12 divided by 3 is 4, so each friend gets 4 bagels if there are a total of 12 bagels.

However, there are more than 12 bagels so we know that each of the the 3 friends will get more than 4 bagels each.

4 0
4 years ago
GUYS ANYONE HERE I REALLY NEED HELP PLS! Find the area of the polygon with vertices D (-1, 2), E (2, 2), F (2, -1), and G (-3, -
katrin2010 [14]

Answer:

48 units

Step-by-step explanation:

1. graph

2. separate into a triangle and a square

3. the square is 6x6 squares, so 36 there

4. the triangle is 4x6, so (4x6)/2 is 12

5. 36+12 = 48 units

6 0
3 years ago
The graphs below have the same shape. What is the equation of the blue graph?
Kisachek [45]

Answer:

Option C. g(x)=(x+5)^{2}

Step-by-step explanation:

we know that

The equation of the parent function f(x) (red graph) is

f(x)=x^{2}

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The vertex is the point (0,0) (the origin)

The function g(x) (blue graph) is a vertical parabola open upward

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The transformation of f(x) to g(x) has the following rule

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That means----> The transformation is a translation of 5 units at left

therefore

The equation of g(x) is

g(x)=(x+5)^{2}

5 0
3 years ago
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