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2 years ago

Will mark BRAINLIEST for correct answer!

Mathematics

1 answer:

bija089 [108]2 years ago

8 0

Answer:

24 cm

Step-by-step explanation:

Perimeter of equilateral triangle = 12 cm

Therefore, measure of one side of equilateral triangle = 12/3 = 4 cm

Perimeter of hexagon = 6 * measure of one side of equilateral triangle

= 6 * 4 = 24 cm

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X + 6 = 2x - 8<br> x=<br> solve for x

nata0808 [166]

Step-by-step explanation:

x + 6 = 2x - 8

1. Subtract 2x from both sides

x - 2x + 6 = 2x - 2x - 8

2. Simplify

-x + 6 = -8

3. Now, subtract 6 from both sides

-x + 6 - 6 = -8 - 6

4. Simplify

-x = -14

5. Divide both sides by -1 because you would want the x by itself instead of having -x

-1x/-1 = -14/-1

6. Simplify

x = 14 <------ Answer

Hope that helped!!

~Shane

8 0

3 years ago

Square root of 18 as a mixed number

Vika [28.1K]

4 1/5 should be your answer

6 0

3 years ago

X-25/14=6/7 find the solution

Lubov Fominskaja [6]

$x= \frac{6}{7} + \frac{25}{14} = \frac{12+25}{14} = \frac{37}{14}$

4 0

3 years ago

What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFractio

aalyn [17]

Answer:

StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction

Step-by-step explanation:

Apparently you want to simplify ...

$\sqrt{\dfrac{72x^{16}}{50x^{36}}}$

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

1/a^b = a^-b

(a^b)^c = a^(bc)

So the expression simplifies as ...

$\sqrt{\dfrac{72x^{16}}{50x^{36}}}=\sqrt{\dfrac{36}{25x^{36-16}}}=\sqrt{\dfrac{36}{25x^{20}}}\\\\\sqrt{\left(\dfrac{6}{5x^{10}}\right)^2}=\boxed{\dfrac{6}{5x^{10}}}$

9 0

2 years ago

A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% s

Artemon [7]

Answer:

$= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right] \left \begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 1 \ \leq age \leq 2 }\\{2 \ \leq age \leq 3}\end{array}\right$

i.e after the first year ;

there 1344 members in the first age class

84 members for the second age class; and

28 members for the third age class

Step-by-step explanation:

We can deduce that the age distribution vector x represents the number of population members for each age class; Given that in each class of age there are 112 members present.

The current age distribution vector is as follows:

$x = \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right] \left[\begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 0 \ \leq age \leq 2 }\\{0 \ \leq age \leq 3}\end{array}\right]$

Also , the age transition matrix is as follows:

$L = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]$

After 1 year ; the age distribution vector will be :

$x_2 =Lx_1 = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right] \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right]$

$= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right] \left \begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 1 \ \leq age \leq 2 }\\{2 \ \leq age \leq 3}\end{array}\right$

6 0

2 years ago