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olchik [2.2K]
3 years ago
5

5tanx-2cotx+1=0...... .

Mathematics
1 answer:
Verdich [7]3 years ago
7 0

Step-by-step explanation:

5(tanx)^2 -2 +tanx=0

let tanx=y

5y^2 + y-2=0

y=0.5403 or y= -0.7403

tanx=0.5403

x=arctan(0.5403)

x=28.38°

or

tanx=-0.7403

x=arctan(-0.7403)

x=143.49°

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Which expression completes the identity cos u sin v = ?
Lilit [14]
The product of trigonometric functions can be converted into sum ans vice versa. The given function is a product and we can convert it to a sum.One way is to expand the given expression and simplify it to find the result.

The second and easier option is to just remember the formulas of product to sum conversion identities. The 4 formulas for this case are listed below in the image.

Since we have the product of cos and sin, the sum will involve two sine functions connected by addition.

So the correct answer is option A

4 0
3 years ago
A thermometer gives a reading of 26 degrees Celsius. Use the formula c =5/9(f-32). Write the inverse function and use it to find
guajiro [1.7K]

Answer:

The answer to your question is F = 78.8

Step-by-step explanation:

Equation

                           C = \frac{5}{9} (F - 32)

Multiply both sides by 9

                           9C = \frac{5(9)}{9} (F - 32)

Simplify

                           9C = 5(F - 32)

Divide both sides by 5

                           \frac{9}{5} C = \frac{5}{5} (F - 32)

Simplify

                           \frac{9}{5} C = F -32

Add 32 in both sides

                           \frac{9}{5} C + 32 = F - 32 + 32

Simplify (Inverse)

                           \frac{9}{5} C + 32 = F

Substitute to find F

                           \frac{9}{5} (26) + 32 = F

Simplify

                                          F = 46.8 + 32

Result

                                          F = 78.8    

6 0
3 years ago
Is this the correct answer? if not, what is it?
sergiy2304 [10]

Answer:

B. 1:2800

Step-by-step explanation:

448 / .16 = 2800

1:2800

Feel free to let me know if you need more help! :)

6 0
3 years ago
In a large population, 82% of the households have cable tv. A simple random sample of 225 households is to be contacted and the
anzhelika [568]

Answer:

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this problem, we have that:

p = 0.82, n = 225.

So

\mu = 0.82

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.82*0.18}{225}} = 0.0256

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

7 0
3 years ago
Read 2 more answers
Solve for q. Write your answer as “q=___”
wolverine [178]

Answer:

7q-46= 3q +6

7q-3q = 6+ 46

4q= 52

4q/4= 52/4

q= 13

3 0
3 years ago
Read 2 more answers
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