All categories

2 years ago

15 tan^3x=5tanx,(0,2pi)

Mathematics

1 answer:

Sauron [17]2 years ago

4 0

Answer:

steps below

Step-by-step explanation:

15 tan³x=5tanx .... (0,2π)

5tanx(3tan²x - 1) = 0

tanx = 0 x = π (0° is excluded)

or 3tan²x - 1 = 0

(√3 tanx + 1) (√3 tanx - 1) = 0

tanx = 1 /√3 x = π/6 (30°) or x = 5π/6 (150°)

tanx = - 1 /√3 x = 7π/6 (210°) or x = 11π/6 (330°)

You might be interested in

What needs to be corrected in this construction of a line parallel to AB passing through Csecond arc (centered at E)

satela [25.4K]

Answer:

Step-by-step explanation:

Report by Oopsydaisy 17.06.2016

Answer

Verified by Expert

Answered by

jamuuj

jd3sp4o0y

+41

jd3sp4o0y and 41 more users found this answer helpful

Answer;

C) The second arc should be centered at C.

Assuming the goal is to construct a line parallel to AB that passes through given point C.

-Draw a line through C and across AB at an angle creating D.

- With the compass width about half of DC, and center D, draw the first arc to cross b

4 0

3 years ago

HEEELP ASAP ITS DUE SOON AND ITS TIMED ILL GIVE BRAINLIEST AND LOTS OF POINTS

motikmotik

AnswerdV/dt = 4·pi·(40)2·(-2)

Step-by-step explanation:

8 0

3 years ago

The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30

o-na [289]

Answer:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

$\bar X$ represent the sample mean

n = 30 sample size

s= 0.2 represent the sample deviation

$\sigma_o =\sqrt{0.027}=0.164$ the value that we want to test

$p_v$ represent the p value for the test

t represent the statistic

$\alpha=$ significance level

State the null and alternative hypothesis

On this case we want to check if the population standard deviation is less than 0.027, so the system of hypothesis are:

H0: $\sigma \leq 0.027$

H1: $\sigma >0.027$

In order to check the hypothesis we need to calculate the statistic given by the following formula:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

$t=(30-1) [\frac{0.2}{0.164}]^2 =42.963$

What is the approximate p-value of the test?

The degrees of freedom are given by:

$df=n-1= 30-1=29$

For this case since we have a right tailed test the p value is given by:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

And the best option would be:

b. between .025 and .05

6 0

3 years ago

Please help lol... find the m

erastova [34]

Answer:

Angle A =35

Step-by-step explanation:

ok that is a triangle

look exterior plus interior is 180

corresponding angles

x+74

now lets solve for the angle a

triangle = 180 degrees

180=73+x+74+37+x

combine like terms

x=−2

now plug in for angle a

37+(-2)

=35

8 0

3 years ago

Two vertices of a right triangle have coordinates (5, 12) and (11, 12) . The segment that connects these points is a leg of the

padilas [110]

You need a right triangle correct. If you used a graph and put the points (5,12) & (11,12) it would make sense to have the next point --this(11,4)

5 0

3 years ago

Read 2 more answers