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Licemer1 [7]
3 years ago
5

The diagram shows a hexagon-shaped tile used for flooring. Each hexagon tile has an area of 18/3 in 2 Find x.​

Mathematics
2 answers:
mylen [45]3 years ago
7 0

Answer:

x = 12

Step-by-step explanation:

The hexagonal tile given here is made up of 6 triangles with equal bases and heights.

So, area of hexagonal tile will be equal to 6 times the area of one triangle.

Therefore,

18 \sqrt{3}  = 6 \times  \frac{1}{2}  \times 2 {( \sqrt{3)} }^{ \frac{x}{12} } . {( \sqrt{3)} }^{ \frac{x}{6} }  \\  \\ 18 \sqrt{3}  = 6  {( \sqrt{3)} }^{ \frac{x}{12} } . {( \sqrt{3)} }^{ \frac{2x}{12} }  \\  \\  \frac{18 \sqrt{3}  }{6}  = {( \sqrt{3)} }^{ \frac{x}{12}  +  \frac{2x}{12} }  \\  \\ 3 \sqrt{3}  =  {( \sqrt{3)} }^{ \frac{3x}{12} } \\  \\ 3. {3}^{ \frac{1}{2} }  =  {3}^{ \frac{3x}{24} }  \\  \\  {3}^{1 +  \frac{1}{2} }  =  {3}^{ \frac{x}{8} }  \\  \\ {3}^{ \frac{3}{2} }  =  {3}^{ \frac{x}{8} }  \\ (bases \: are \: equal \: so \: exponents \:  \\ will \: also \: be \: equal) \\ \implies  \frac{3}{2}  =  \frac{x}{8}  \\  \\ x =  \frac{3 \times 8}{2}  \\  \\ x = 3 \times 4 \\  \\ x = 12

alexira [117]3 years ago
7 0

Answer: x=12

Step-by-step explanation:

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The answer too this??? And how to solve
julia-pushkina [17]

alright then, 12x + 17 = 66! we started with 17 and there is twelve months with x amount of inches grown plus the already 17 that equals the total 66

so it is 12x + 17 = 66

8 0
2 years ago
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The graphs below have the same shape. What is the equation of the blue
Elena-2011 [213]

Answer:

If the attached graph is the one you mean, the answer is g(x) = (x-4)^2 + 1

5 0
3 years ago
Complete the table using the equation y = 9x + 8.
Volgvan

Answer:

Y  =  (  -1) | 8 | 17 | 26 | 35|

Step-by-step explanation:

y = 9x + 8  \\ \\  \\ x = ( - 1) \\ y = 9( - 1) + 8 \\ y =  - 9 + 8 =  - 1 \\  \\ x = 0 \\ y = 9(0) + 8 \\ y = 0 + 8 = 8 \\  \\ x = 1 \\ y = 9(1) + 8 \\ y = 9 + 8 = 17 \\  \\ x = 2 \\ y = 9(2) + 8 \\ y = 18 + 8 = 26 \\  \\ x = 3 \\ y = 9(3) + 8 \\ y = 27 + 8 = 35 \\  \\  \\  Y  =  (  - 1) | 8 | 17 | 26 | 35|

7 0
3 years ago
A total of 165 people attended the opening night of a school play. Adults were charged $6, and children were charged $2. The tot
arlik [135]
-------------------------------------------------------------------------
Given Information
-------------------------------------------------------------------------
Total number of people = 165
Adult = $6
Child = $2
Total collected = $618

-------------------------------------------------------------------------
Assumptions 
-------------------------------------------------------------------------
Let x be the number of adults and y be the number of children

-------------------------------------------------------------------------
Form equations
-------------------------------------------------------------------------
Total number of people
x + y = 165
Total amount collected 
6x + 2y = 618

-------------------------------------------------------------------------
Ans: The two equations are x + y = 165 and 6x + 2y = 618
-------------------------------------------------------------------------


The question is not asking for it but if you need to solve the equation to find the answer to x and y

-------------------------------------------------------------------------
Present the two equations and solve for x and y
-------------------------------------------------------------------------
x + y = 165          ------------------------- (eqn 1)
6x + 2y = 618      ------------------------- (eqn 2)

(eqn 1) : 
x + y = 165
x = 165 - y -------------------------  substitute into (eqn 2)

6(165 - y) + 2y = 618
990 - 6y + 2y = 618
4y = 990 - 618
4y = 372
y = 93 -------------------------  substitute into (eqn 1)

x + y = 165
x + 93 = 165
x = 165 - 93
x = 72 

x = 72 and y = 93

-------------------------------------------------------------------------
Ans: 72 adults and 93 children
-------------------------------------------------------------------------
5 0
3 years ago
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Write as an expression :the quantity 10 less than x, divided by 4​
Andreas93 [3]

Answer:

(x-10)/4

Step-by-step explanation:

10 less than x means,

x - 10

and the divide by 4.

=> (x-10)/4

5 0
3 years ago
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