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3 years ago

Please help me out :)

Mathematics

2 answers:

alex41 [277]3 years ago

4 0

The answer is A. 1023

Ainat [17]3 years ago

3 0

2^0+2^1+....+2^9= 2^10-1= 1024-1=1023

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Someone please help I don’t understand this please

sdas [7]

The fraction of the image in blue with respect to the <em>entire</em> hexagon is $\frac{1}{3}$ .

<h3>Estimation of the ratio of the shaded region area to the entire area</h3>

Initially we proceed to create auxiliar constructions , represented by red line segments, to re-define the hexagon as a sum of standard figures. According to the figure, we find two types of triangles (type-1 and type-2), and the following relationship between the two types:

$A_{1} = A_{2}$ (1)

Where:

$A_{1}$ - Area of a type-1 triangle.
$A_{2}$ - Area of a type-2 triangle.

The formulae for the area of the shaded region ( $A_{s}$ ) and the <em>entire</em> hexagon ( $A_{h}$ ) are, respectively:

<h3>Shaded region</h3>

$A_{s} = 2\cdot A_{1} + 4\cdot A_{2}$ (2)

<h3>Entire hexagon</h3>

$A_{h} = 8\cdot A_{1} + 10\cdot A_{2}$ (3)

And the fraction of the image in blue is:

$\frac{A_{s}}{A_{h}} = \frac{2\cdot A_{1}+4\cdot A_{2}}{8\cdot A_{1}+10\cdot A_{2}}$

$\frac{A_{s}}{A_{h}} = \frac{6\cdot A}{18\cdot A}$

$\frac{A_{s}}{A_{h}} = \frac{1}{3}$

The fraction of the image in blue with respect to the <em>entire</em> hexagon is $\frac{1}{3}$ . $\blacksquare$

To learn more on hexagons, we kindly invite to check this verified question: brainly.com/question/4083236

6 0

3 years ago

Pasta comes with tomato sauce and can be ordered with some, all, or none of these ingredients in the sauce: {onions, garlic,

klio [65]

Answer: Hello!

So the list of ingredients in the sauce are:

{onions, garlic, carrots, broccoli, shrimp, mushrooms, zucchini, green pepper}

there are 8 possible elements in the sauce, so we need to see the combinations for this elements in the sauce.

let's count!

0 ingredients; there is only one combination with 0 ingredients.

1 ingredient: there are 8 combinations with 1 ingredient, one for each.

2 ingredients: now star playing with combinatorics, so the combinatory between A and B is: $\frac{A!}{B!(A-B)!}$ , so for 8 and 2 we get:

$\frac{8!}{2!(6)!} = 8*7/2 = 28$

3 ingredients: Similar as before; the combinatory for 8 and 3 is: $\frac{8!}{3!*5!} = 8*7 =56$

4 ingredients: for 8 and 4 we have: $\frac{8!}{4!*4!} = \frac{8*7*6*5}{4*3*2} = 2*7*5 = 70$

5 ingredients: You can think that now we are counting the combinations of 3 ingredients that we are not using, so the combinations are the same as for 3 ingredients: 56

6 ingredients: Similar as before, here are the combinations of the two ingredients that we are not using: 28

7 ingredients: there are 8 options if we decide to not use only one ingredient.

8 ingredient: there is 1 option in this case, same as the case with no ingredients

And now, we need to add all those combinations:

so C = 1 +8 + 28 + 56+ 70+ 55 + 28 +8 +1 = 512 total combinations.

3 0

4 years ago

Students in grades 7 and 8 were asked which food they liked the best. The results are shown in the table. What percentage of all

Nostrana [21]

Answer:

Where's the table?

Step-by-step explanation:

4 0

3 years ago

What is the slope of the line given by the equation y = -7X?

marissa [1.9K]

Answer:

-7

Step-by-step explanation:

Given the expression: y = mx + c

Where m = slope

c = intercept

Therefore, from the given question: y = -7x. The slope m = -7

4 0

3 years ago

Would anyone mind showing me how to do these questions? Thanks to anyone who helps out :)

cupoosta [38]

Question 1 is 40
question 2 is 96

7 0

4 years ago

Read 2 more answers