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Nesterboy [21]
3 years ago
7

What is the solution to the equation 1/3 (9x-6)2x=3

Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0
\frac{1}{3} (9x-6)2x=3 \\ \\ \frac{(9x-6) \times 2x}{3} = 3 \\ \\ \frac{3(3x - 2) \times 2x}{3} = 3 \\ \\ \frac{6x (3x-2)}{3} = 3 \\ \\ 2x(3x-2) = 3 \\ \\ 6x^2 - 4x = 3 \\ \\ 6x^2 - 4x - 3 = 0 \\ \\ x = \frac{4+2 \sqrt{22} }{12} , \frac{2- \sqrt{22} }{12} \\ \\ x = \frac{2+ \sqrt{22} }{6} , \frac{2- \sqrt{22} }{6}
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Find the total area for the regular pyramid. T.A. xxx(sqr) + xx (sqr)x
N76 [4]
We are to solve the total area of the pyramid and this can be done through area addition. We first determine the area of the base using the Heron's formula.
                           A = √(s)(s - a)(s - b)(s - c)
where s is the semi-perimeter
                                 s = (a + b + c) / 2
 Substituting for the base,
                               s = (12 + 12 + 12)/ 2 = 18
                          A = (√(18)(18 - 12)(18 - 12)(18 - 12) = 62.35
Then, we note that the faces are just the same, so one of these will have an area of,
                                s = (10 + 10 + 12) / 2 = 16
                                  A = √(16)(16 - 12)(16 - 10)(16 - 10) = 48
Multiplying this by 3 (because there are 3 faces with these dimensions, we get 144. Finally, adding the area of the base,
                          total area = 144 + 62.35 = 206.35
5 0
3 years ago
GEOMETRY HELP PLEASE
ziro4ka [17]

Answer:

x=9.79

here's your answer

5 0
3 years ago
The junior senator can do a labyrinth in 50 minutes. The senior senator can do a labyrinth in 30 minutes. Working together, how
vladimir2022 [97]

Answer:

225\:\text{minutes}

Step-by-step explanation:

To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.

In 10 minutes, the junior senator can complete \frac{10}{50}=\frac{1}{5} of the labyrinth.

In 10 minutes, the senior senator can complete \frac{10}{30}=\frac{1}{3} of the labyrinth.

Therefore, working together, they can complete \frac{1}{5}+\frac{1}{3}=\frac{8}{15} of the labyrinth in 10 minutes. Thus, it will take them \frac{15}{8}\cdot 10 \text{ minutes}=18.75\:\text{minutes} to complete one labyrinth.

The amount of time it take them to complete 12 labyrinths is then 18.75\cdot 12 =\boxed{225\:\text{minutes}}

5 0
2 years ago
5
nika2105 [10]

Answer:

idk

Step-by-step explanation:

8 0
3 years ago
Claire jogs no more than 20 miles per week. Which inequality represents the number of miles she runs each week?
anzhelika [568]
C Claire hogs anywhere between 0 and 20 miles per week. So she jogs 20 and below. Making the answer c
3 0
4 years ago
Read 2 more answers
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