1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ronch [10]
3 years ago
11

If (tan^3 theta -1) / (tan theta - 1) - sec^2 theta +1 = 0, find cot theta.

Mathematics
2 answers:
stiv31 [10]3 years ago
7 0
Hey there !

Check the attachment.
Hope it helps you :)

anzhelika [568]3 years ago
3 0

Answer:

Option A. cot\theta = -1

Step-by-step explanation:

\frac{tan^{3}\theta -1}{tan\theta -1}-sec^{2}\theta +1=0

we have to the value of cot\theta

We further solve the equation

\frac{(tan\theta -1)(tan^{2}\theta +1+tan\theta )}{(tan\theta -1)}-sec^{2}\theta+1=0         [a³- b³= (a-b)(a² + b²+ ab)]

sec^{2}\theta +tan\theta -sec^{2}\theta +1=tan\theta +1=0

\frac{1}{cot\theta }=-1

cot\theta = -1

Therefore Option A. cot\theta = -1 is the answer.

You might be interested in
Find M&lt;1 <br> A. 12.71 degrees<br> B. 15 degrees<br> C. 74 degrees<br> D. 106 degrees
Daniel [21]
It is 74 degrees because those two equations equal each other and you must cancel them out which equals x=15. plug 15 in to one of the equations and you have the answer.
5 0
3 years ago
The probability that an international flight leaving the United States is delayed in departing (event D) is .29. The probability
Blizzard [7]

Answer:

P(D|P)= \frac{0.11}{0.59}=0.186

Step-by-step explanation:

For this case we have defined the following events:

D= "An international flight leaving the United States is delayed in departing"

P="An international flight leaving the United States is a transpacific flight "

And we have defined the probabilities:

P(D)= 0.29 , P(P) = 0.59

And for the event: "an international flight leaving the U.S. is a transpacific flight and is delayed in departing" D \cap P we know the probability:

P(D \cap P) =0.11

We want to find this probability:

What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight

So we want this probability:

P(D|P)

And we can use the conditional formula from the Bayes theorem given two events A and B:

P(A|B) = \frac{P(A \cap B)}{P(B)}

And if we use this formula for our case we have:

P(D|P)= \frac{P(D \cap P)}{P(P)}

And if we replace the values we got:

P(D|P)= \frac{0.11}{0.59}=0.186

6 0
3 years ago
Scenario: The Cannon Instructions: View the video found on page 1 of this Journal activity. Using the information provided in th
Artyom0805 [142]

Answer:

Part A

Yes

Part B

He will land at a point 30 meters from Cannon

Step-by-step explanation:

Part A

The given function that represent the path of the Cannon, which is the path of a parabolic arc, is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

We note that the height, 'h', of the path of a parabola at a horizontal distance, 'x' from the origin is equal to f(x)

Therefore, given that at the ground level, at the start and end of the flight, the f(x) = 0, we can write;

-0.05·(x² - 26·x - 120) = 0

∴ x² - 26·x - 120 = 0

x = (26 ± √((-26)² - 4 × 1 × (-120)))/(2 × 1)

Which gives;

x = 30 or x = -4

Therefore, he lands at a point 30 meters from the starting point

Therefore, the function gives enough information to tell where he will land

Part B

He lands at the point, x = 30 from the point the cannon was fired.

3 0
3 years ago
Write the slope intercept form of the equation.
Elza [17]

Hello!

The slope intercept form equation is shown below.

y=mx+b

In this equation, m represents the slope and b is the y-intercept.

We can just plug in our numbers to find our answer.

y=3x-2

I hope this helps!

4 0
3 years ago
Given q(x)=3x and r(x)=x2.<br> What is (r∘q)(2)?<br> 36<br> 10<br> 12<br> 24
zmey [24]

Answer:

the answer would be 36.

Step-by-step explanation:

and here go you would get it

R(-5) = -3*(-5) - 4

R(-5) = 15 - 4

R(-5) = 11

Q(X)=3X+3

Q(11) = 3*11 + 3

Q(11) = 33 + 3

Q(11) = 36

So, (Q(R(-2) = 36

hope it is correct..

3 0
3 years ago
Other questions:
  • You have 4 dimes, 5 quarters, and 3 pennies in your pocket. What is the probability of reaching in and randomly picking out a di
    13·2 answers
  • What is the area of this figure?
    7·2 answers
  • 4*4+2=<br> please answer the question above
    11·2 answers
  • Dan's ice cream comes on cartons of two sizes. the large carton holds 4 1/2 pounds. the small carton holds 1 3/4 pounds less. ho
    10·1 answer
  • Consider these four data sets.
    14·2 answers
  • A 40 mile boat ride costs a group of people $405. To rent that same boat for a 100 mile
    14·1 answer
  • Which expression is equivalent to StartFraction (3 m Superscript negative 1 Baseline n squared) Superscript negative 4 Baseline
    11·2 answers
  • Find the value of x and y using matrix method. 2x – 5y = 7 -2x + 4y = - 6
    11·1 answer
  • Order the numbers from least to greatest:<br> 0.8, 8%, 18%, 1/8, 8/18
    11·1 answer
  • What is the square root of 21.6 rounded to the nearest hundredth
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!