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
brilliants [131]
3 years ago
12

Determine the quadrant when the terminal side of the angle lies according to the following condition: cot (t) < 0, cos (t) &l

t; 0
Mathematics
2 answers:
Murrr4er [49]3 years ago
6 0

Answer with explanation:

In first Quadrant, All trigonometric Ratios yields Positive value.

In Quadrant II,only Sine and Cosecant are Positive.

In Quadrant III, Tangent and Cotangent Function are Positive.

In Quadrant IV, Cosine and Secant are positive.

It is given that

      Cotangent < 0

   Cosine < 0

So, Only in Quadrant II, both Cotangent and Cosine of any Angle 't' is less than Zero.

⇒Terminal Side lies in Quadrant II.

Marrrta [24]3 years ago
4 0
Cos(t)<0  (negative) it is negative when angle is in Quadrant 2. Or Quadrant 3
 cot(t)<0.  (negative) it is negative when angle lies in Quadrant 2 So,
the angle is in Q 2
You might be interested in
The sum of a number and its reciprocal is 2whole number 1 over 6. Find that number​
notsponge [240]

Answer:

  2/3 or 3/2

Step-by-step explanation:

Let x represent the number. The given relation is ...

  x +1/x = 2 1/6

  x^2 +1 = (13/6)x

  6x^2 -13x +6 = 0 . . . . . subtract the right side and multiply by 6

  (6x -9)(6x -4)/6 = 0 . . . . factor

  (2x -3)(3x -2) = 0 . . . . . . simplify a bit

  x = 3/2  or  2/3 . . . . . . . . values of x that make the factors zero

The number is 2/3 or its reciprocal, 3/2.

6 0
2 years ago
A spherical hot-air balloon has a diameter of 55 feet. When the balloon is inflated, the radius increases at a rate of 1.5 feet
abruzzese [7]

Answer:

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume is approximately 46.90 minutes

Step-by-step explanation:

The given parameters are;

The diameter of  the balloon  = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet per minute

We have;

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon = 4/3 × 3.14 × 55³ = 696556.67 ft³

When the volume is two-thirds the maximum volume, we have;

2/3 × 696556.67 ft³ = 464371.11 ft³

The value of the radius, r₂ at that point is found as follows;

4/3·π·r₂³ = 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4 = 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the above length ≈ 70.369 ft/(1.5 ft/min) ≈ 46.90 minutes

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume ≈ 46.90 minutes.

4 0
3 years ago
13 + k3= 11 Show work pls
zaharov [31]
13+3k=11
-Move constant to the right-hand side and change its sign
3k=11-13

Calculate the difference
3k=-2
Divide both sides by 3
K= -2/3
4 0
3 years ago
A turtle crawled at a speed of 1.2 meters per minute for 9 minutes. How far did the turtle crawl? 7.5 meters 7.8 meters 10.2 met
Dennis_Churaev [7]

Answer:

10.8 meters

Step-by-step explanation:

3 0
3 years ago
65 POINTS PLEASE HELP
miskamm [114]

Answer:

        1  

= -----------

   6(x + 7)

Step-by-step explanation:

3x - 21      x^2 - 49

----------- ÷ -------------

18x - 18        x - 1

3x - 21          x - 1

----------- ×  -------------

18x - 18       x^2 - 49

Factor the top left:

3x - 21  = 3(x - 7)

Factor the bottom left:

18x - 18 = 18(x - 1)

Factor the new bottom right:

x^2 - 49 = (x + 7)(x - 7)

Multiply and simplify the faction:

3(x - 7)            x - 1

----------- ×  -----------------

18(x - 1)       (x + 7)(x - 7)

        1  

= -------------

   6(x + 7)

6 0
3 years ago
Read 2 more answers
Other questions:
  • 7) Number of Calendars Cost 6 $114 8 $144 10 $160 15 $180 20 $300 A gift store is ordering calendars to resell. The table shows
    15·1 answer
  • Find the measure of the arc or angle indicated
    7·1 answer
  • Please answer. - ejhf khev eveveve
    12·1 answer
  • What is the value of a, if a2 – 64 = 0 and a &gt; 0?
    6·1 answer
  • Teresa is investigating if grade level has any effect on time spent studying. What is the response variable?
    7·1 answer
  • What’s 6% as a fraction
    11·1 answer
  • 99-7a^2 when a =3 please help!!!!!!!!!
    9·1 answer
  • 1. Function or Not?<br><br> Function<br> Not
    8·1 answer
  • What is the answer to 8w+56?
    12·2 answers
  • Will give brainliest if correct! Please hurry!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!