MATHEMATICS COLLEGE

20 POINTS! You are planning to use a ceramic tile design in your new bathroom. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 9 centimeters, what will be the exact area of each hexagonal shape?

Answers

Answer 1

Answer:

Answer:

210.33 cm^2

Step-by-step explanation:

We know that 6 equilateral triangles makes one hexagon.

Also, an equilateral triangle has all its sides equal.

If the tile of each side of the triangular tile measure 9 cm, then the height of the triangular tiles can be gotten using Pythagoras's Theorem.

The triangle formed by each tile can be split along its height, into two right angle triangles with base (adjacent) 4.5 cm and slant side (hypotenuse) of 9 cm. The height (opposite) is calculated as,

From Pythagoras's theorem,

$hyp^(2) = adj^(2) + opp^(2)$

substituting, we have

$9^(2) = 4.5^(2) + opp^(2)$

81 = 20.25 + $opp^(2)$

$opp^(2)$ = 81 - 20.25 = 60.75

opp = $√(60.75)$ = 7.79 cm this is the height of the right angle triangle, and also the height of the equilateral triangular tiles.

The area of a triangle = $(1)/(2) bh$

where b is the base = 9 cm

h is the height = 7.79 cm

substituting, we have

area = $(1)/(2)$ x 9 x 7.79 = 35.055 cm^2

Area of the hexagon that will be formed = 6 x area of the triangular tiles

==> 6 x 35.055 cm^2 = 210.33 cm^2

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Answers

Answer:

the correct answer is A (0.0035 kiloliters)

Step-by-step explanation:

i hope this helps

Answer:

A us the correct answer

Step-by-step explanation:

I took the test earlier today and got it right

Suppose I collected a sample and calculated the sample proportion. If I construct a 90% confidence interval for the population proportion and a 95% confidence interval for the population proportion, which of these intervals will be wider?'

Answers

Answer:

Step-by-step explanation:

If you construct a 90% confidence interval for the population proportion and a 95% confidence interval for the population proportion, the 95% confidence will have a wider interval. This is because a higher confidence interval will provide more possible values from which the true value will be determined. Therefore, If you want more confidence that an interval contains the true parameter, then the intervals will be wider.

Show steps how to solve for y!!!!!
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Please help me

Answers

$\text{Solve for y:}\n\n2y+2=(3y)/(2)\n\n\text{Multiply both sides by 2 to cancel the denominator}\n\n4y+4=3y\n\n\text{Subtract 3y from both sides}\n\ny+4=0\n\n\text{Subtract 4 from both sides}\n\n\boxed{y=-4}$

Answer:-4

Step-by-step explanation:

2y+2=3y/2

Cross multiply

2(2y+2)=3y

Open bracket

4y+4=3y

Collect like terms

4y-3y=-4

y=-4

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Answers

Answer-44

You can turn both of the denominators ( bottom numbers on the fractions ) into 120 ( the whole number ) and the top numbers can be multiplied by how many times the denominators went into 120. Then add the top numbers which equals 76 and then 120-76=44. Hope that kinda helps !!

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