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Oksana_A [137]
3 years ago
8

Two regular hexagons have sides in the ratio 3:5. The area of the smaller hexagon is 81 m2. What is the area of the larger hexag

on
Mathematics
1 answer:
Aliun [14]3 years ago
4 0
If the sides are in the ratio of 5:3 then the area will increase by a factor of:(5 / 3) ^2
(5 / 3)^2 = <span> <span> <span> 2.777777777 </span> </span> </span>
Area of small hexagon = 81
Area of larger hexagon = 81 * 2.777777777
Area of larger hexagon = 225 square meters

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SAVE ME. Please Answer my Questions Clevers.
Vladimir [108]

Answer:

See below

Step-by-step explanation:

Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:

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Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as \mathbb{Z}_{\ge 0}

<u>Whole numbers less than or equal to 20</u>: A\leq 20, A \subset \mathbb{Z}_{\ge 0}  \\\implies A=\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}

<u>A. Prime numbers</u>

From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.

Once we have 21 numbers in total and 8 prime numbers, the probability is:

$P=\frac{8}{21} \approx 40\%$

<u>B. Composite numbers</u>

From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.

Once we have 21 numbers in total and 11 composite numbers, the probability is:

$P=\frac{11}{21} \approx 52\%$

<u>C. Divisible by three</u>

From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.

Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:

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<u>D. Square of 2</u>

From the set A, the numbers square of 2 are 0, 1, 4, 9, 16.

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\sqrt{1} =1

\sqrt{4} =2

\sqrt{9} =3

\sqrt{16} =4

Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:

$P=\frac{5}{21} \approx 24\%$

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Once they're opposite, they add up to 180º

2x+3x=180 \implies 5x=180 \implies x=36

The first angle is 72º

The second angle is 108º

Q3. what is the solution set of  9x-4<13x-7 (domain, x e z) ?

x \in \mathbb{Z}\\

$x>\frac{3}{4} $

$x\in \left(\frac{3}{4},\infty \right)$

Q4. if three fourth of a number is one tenths, what is the number?

$\frac{3}{4} x =\frac{1}{10} \implies 3x=\frac{4}{10}  \implies \boxed{x = \frac{2}{15}} $

Q5. which one is the equation of the line passing through the origin and having a slope 4?

y=mx+b

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Is 5/4 greater than , less than , or equal to the square root of 2
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the square root of 2 is 4 and 5/4 is 1.25

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Step-by-step explanation:

To find : A number which decreased by 12 equals 3 times it’s opposite ?

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x-12=-3x

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