All categories

2 years ago

3.Solve tan 2x + tan x=0, for 0 < x < 2π

Mathematics

1 answer:

Harrizon [31]2 years ago

5 0

Answer:

Start by getting everything on the same side of the equals sign and then set it equal to 0. . Factor out the common tan^2x like this: . Now we have 2 separate equations to solve: and sinx = 0. Now we have to figure out where tan^2 is 0 between 0 and 2pi. If we include 2pi, the solutions for that equation are . You can test those out on your calculator just to be sure. There's only one value of x for the next equation. The only place between 0 and 2pi where the sin x = 1 is at x = . And there you go!

Step-by-step explanation:

You might be interested in

Which two integers are 7 units away from the number 5 on a number line? A-2 and 2 O B-2 and c. -- and D. -2 and

Sloan [31]

Answer:

-2 and 12

Step-by-step explanation:

To find the two numbers which are 7 units away from 5, add 7 to 5 and subtract 7 from 5

5+7 = 12

5-7 = -2

5 0

2 years ago

A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the

LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

$P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432$

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

$P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1$

The probability that at most 12 ties are too tight is P=1.

5 0

2 years ago

Help plzzzzzzzzzzzzzzzzzzzz

bulgar [2K]

Answer:

y = -4

Step-by-step explanation:

First, let's find the slope. Since the line is horizontal, it's slope has to be 0 (this is because slope = rise/run, there is no "rise" in a horizontal line therefore the slope is 0)

Now, we need to find the y-intercept. This is where the line intercepts the y-axis. Looking at the graph, the line intercepts the axis at (0,-4), therefore the y-intercept is -4.

The equation would be:

y=0x-4

y=-4

5 0

2 years ago

Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. Not

VMariaS [17]

Correct Answer:
C option: 6 feet

Solution:
Since Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.

Let the depth of pool is x feet. So we can write:

Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
 $18:4=27:x \\ \\ 
 \frac{18}{4} = \frac{27}{x} \\ \\ 
x=27* \frac{4}{18} \\ \\ 
x=6$

This means the depth of pool should be 6 feet if Yolanda wants to keep the pool in proportion to the model.

7 0

3 years ago

Read 3 more answers

At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each o

dmitriy555 [2]

A.6x=5(x+10)
b.6x=5x+50
x=50
c. 6(50)=5((50)+10)
300 = 5(60)
300= 300

5 0

3 years ago

3.Solve tan 2x + tan x=0, for 0 < x < 2π​

3.Solve tan 2x + tan x=0, for 0 < x < 2π