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NeX [460]
3 years ago
15

12^3 tanx-4^3tan2xsolve next step fast guys​

Mathematics
1 answer:
shepuryov [24]3 years ago
4 0

Step-by-step explanation:

3 tan 2x - 4 tan 3x = tan² 3x * tan 2x

3 (tan 2x - tan 3x) = tan 3x + tan² 3x * tan 2x

= tan 3x (1 + tan 3x * tan 2x)

3 (tan 2x - tan 3x)/(1 + tan 3x * tan 2x) = tan 3x

3 * (- tan x) = tan 3x

-3tanx = (3 tan x - tan³ x) / (1 - 3 tan² x)

3 - tan² x = - 3 + 9 tan² x

tan x = + √3 /√5 or - √3/√5

You might be interested in
The mass of a penny was measured six times. The following data was reported:
Scrat [10]

Answer:

a) 8.103 g

b) 9.2948

c) 0

Step-by-step explanation:

Given:

Data reported:

9.314 g, 9.215 g, 9.323 g, 8.103 g, 9.278 g, and 9.344 g

Now,

All the values except the 8.103 are above 9

Here the data 8.103 varies very much with respect to the other values

Hence,

a) the data 8.103 should be excluded

b) average value of the mass of the penny = \frac{9.314 + 9.215 + 9.323 + 9.278 + 9.344 }{5}

= 9.2948 g

c) Deviation = Mean - Data

9.2948 - 9.314 = -0.0192

9.2948 - 9.215 = 0.0798

9.2948 - 9.323 = -0.0282

9.2948 - 9.278 = 0.0168

9.2948 - 9.344 = -0.0492

Thus,

Average deviation from mean = tex]\frac{-0.0192 + 0.0798 -0.0282 + 0.0168 -0.0492 }{5}[/tex]

= 0

4 0
3 years ago
Sam bought a pack of
Strike441 [17]

Answer:

70% of the juice boxes are left.

Step-by-step explanation:

10 is the total number of juice boxes which means that 10 is 100%

If there are 10 total juice boxes and Sam drank 3, there are 7 juice boxes left. Sam drank 30% of the juice boxes which means that there is 70% of the juice boxes left.

Hope this helps!

3 0
3 years ago
2+1/6w=-4 What would be the anwsers? you need to solve, what is w
maks197457 [2]

Answer:

w= negative 36

Step-by-step explanation:

find 1 positive variable


brainliest answer

6 0
4 years ago
A marketing firm is studying consumer preferences for winter fashions in four different months. From a population of women 18-21
Solnce55 [7]

Answer:

There were total 4 samples collected and each sample had a sample size of n = 100.

Step-by-step explanation:

We are given the following information in the question:

Collection of samples:

1^{st}\text{ sample was done in January with a sample size n = 100}

2^{nd}\text{ sample was done in March with a sample size n = 100}

3^{rd}\text{ sample was done in June with a sample size n = 100}

4^{th}\text{ sample was done in September with a sample size n = 100}

Hence, there were total 4 samples collected and each sample had a sample size of n = 100.

4 0
3 years ago
What is the vertex of (x) = –16x² + 64x + 80.
cricket20 [7]

Answer:

<h3>            (2, 124)</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k      - the  vertex form of the equation of the parabola with vertex (h, k)

f(x) = -16x^2+ 64x + 80\\\\f(x) = -16(x^2- 4x) + 80\\\\f(x) = -16(\underline {x^2-2\cdot2x\cdot2+2^2}-2^2) + 80\\\\f(x) = -16\big[(x-2)^2-4\big] + 80\\\\f(x) = -16(x-2)^2+64 + 80\\\\\bold{f(x)=-16(x-2)^2+124\quad\implies\quad h=2\,,\quad k=124}

<u>The vertex is </u><u>(2, 124)</u>

7 0
3 years ago
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