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
luda_lava [24]
3 years ago
11

If θ is an angle in standard position and its terminal side passes through the point (-7,-5), find the exact value of cot ⁡ θ co

tθ in simplest radical form.
Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0

Plot the point (-7, -5). We are in quadrant 3.

We also know that tan θ = opp/adj.

Cot θ = adj/opp.

Let us use a^2 + b^2 = r^2 to show you how to find r, the radius aka hypotenuse.

Look: (-7)^2 + (-5)^2 = r^2

If you should ever need to find r, do this:

(-7)^2 + (-5)^2 = r^2

(49) + 25) = r^2

74 = r^2

Take the square root on both sides of the equation to find r.

sqrt{74} = sqrt{r^2}

sqrt{74} = r

It is ok to simplify the sqrt{74} but not needed.

We now have the three sides of the triangle that is form in quadrant 3.

We can now read cot θ from the triangle itself.

So, cot θ = adj/opp = (-7)/(-5) or 7/5.

No need to find r but I simply wanted to show you how it's done in case you are given a question where r must be found.

You might be interested in
PLEASE HELP I'M BEING TIMED!!
lyudmila [28]

Answer:

It will be A

Step-by-step explanation:

Hope this helped you out

8 0
3 years ago
Read 2 more answers
A diagram of a pizza is shown.
mash [69]

Answer:

A. 30 cm

Step-by-step explanation:

The surface area of a 14-inch pizza is 3.14 x 49 (7 x 7 = 49) = 153.86 square inches of surface area

4 0
3 years ago
Determine all critical points for the following function. f(x)=x2−14x+1
melomori [17]

9514 1404 393

Answer:

  (x, y) = (7, -48)

Step-by-step explanation:

A critical point is where the slope is zero or undefined. A polynomial function will never have any points where the slope is undefined.

The slope is zero were f'(x) = 0.

  f'(x) = 2x -14

  0 = 2x -14

  0 = x -7

  7 = x

  f(7) = 49 -98 +1 = -48

The critical point is (7, -48).

4 0
3 years ago
What is the answer to 5=z−4−3.
MArishka [77]

5=z−4−3

5=z-7

move -7 to the other side

sign changes from -7 to +7

5+7=z-7+7

5+7=z

Answer: z=12

8 0
3 years ago
Takumi earns $8.50 per hour proofreading advertisements at a local newspaper. He works no more than 5 hours a day. Write a funct
Pachacha [2.7K]
If he works for 5 hours he will make 42 1/2 or 85/2!
4 0
3 years ago
Other questions:
  • Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2-3x-3=0
    12·2 answers
  • If Sara bought 12 feet of fabric and she is going to make curtains and she has to cut 1/4 sections. How many sections of fabric
    5·2 answers
  • On the first day of your garage sale, you earned 12x+9 dollars. The next day you earned 22x dollars. Is it possible you earned t
    15·1 answer
  • Evaluate the integral Integral from 0 to 1 Integral from 0 to 3 Integral from 3 y to 9 StartFraction 6 cosine (x squared )Over 5
    14·1 answer
  • Say what now?! I don’t get this please help!
    12·2 answers
  • What are the x- and y-intercepts of the graph of -7x + 4y = -14
    15·1 answer
  • Which is the area of the rectangle?<br> 69<br> 115<br> 100
    10·1 answer
  • Find the mean absolute deviation
    12·1 answer
  • 1. What value of x makes the equation 3x - 6 = 9 true?
    6·2 answers
  • 10 mL = ____________ L ( 1L = 1000 ml
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!