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
xeze [42]
3 years ago
8

If cos ⁡θ=−8/17, and 180°θ<270°, what is sin θ?

Mathematics
1 answer:
goldenfox [79]3 years ago
3 0

Answer:

-15/17

Step-by-step explanation:

One method is to use Pythagorean identity.

sin² θ + cos² θ = 1

sin² θ + (-8/17)² = 1

sin² θ + 64/289 = 1

sin² θ = 225/289

sin θ = ±15/17

Since θ is in the third quadrant, sin θ < 0.  So sin θ= -15/17.

Another method is to draw a triangle in the third quadrant, with angle θ, adjacent side -8, and hypotenuse 17.  Use Pythagorean theorem to find the opposite side:

c² = a² + b²

17² = (-8)² + b²

b = -15

Therefore, sin θ = -15/17

You might be interested in
Please dont steal points only real answers
morpeh [17]
1. 4 1/5
2. 11/24
3. 12 1/4
4. 2
5. 3 5/12

I did the math but I’m sorry if it’s not all correct
8 0
3 years ago
At time t&gt;=0, the acceleration of a particle moving on the x-axis is a(t)=t+sin(t). At t=0, the velocity of the particle is -
Rufina [12.5K]

Answer:

The velocity of the particle will be zero for  t = 1.47 sec .

Step-by-step explanation:

Given equation:

                                           a(t)=t+sin(t)

lets integrate it with respect to time,

                                           ∫ a(t) dt = ∫(t+sin(t)) dt

                                      ⇒ v(t) = \frac{t^{2} }{2} - cos(t) +c

At, t=0, v= -2 so,

                                     ⇒ -2 = 0 - 1 +c

                                     ⇒ c= -1

Hence,

                                     v(t) = \frac{t^{2} }{2} - cos(t) -1

for the velocity to be zero,

                                     0 =  \frac{t^{2} }{2} - cos(t) -1

                                ⇒  t = 1.47 sec (taking only positive value)

So at 1.47 sec the velocity of particle will be zero.

7 0
3 years ago
PLZ PLZ PLZ HELP<br>ME ​
choli [55]

Answer:

30.01

Step-by-step explanation:

2.1^2 + 25.6

= 4.41 + 25.6

= 30.01

4 0
3 years ago
You roll a single die numbered from 1 to 6. What are the odds of rolling a 3
vodomira [7]

Answer:

1/6

Step-by-step explanation:

there are 6 numbers on a die, and only one of them is 3.

so you would get 1/6 (because only one number out of 6 is 3)

8 0
3 years ago
Work out the surface area of this sphere.<br> Give your answer to 1 decimal place.
bearhunter [10]

Answer:

452.4

Step-by-step equation:

surface area of a sphere formula= 4πr²

plug 6 in for r

4π(6)² =452.389 rounded  to 452.4

7 0
3 years ago
Other questions:
  • Evaluate ³√-8<br> please help.
    14·2 answers
  • The length of a flat screen TV is 5 inches less than three times its width if the perimeter of a TV is 150 inches what is the le
    5·1 answer
  • WILL MARK BRAINLIEST!!!
    14·1 answer
  • Which expression is equivalent to 8 - 2 + a - 9a
    6·1 answer
  • Explain how you could determine whether a calculator correctly performs the order of operations
    8·1 answer
  • Need help asap! will give extra points...
    9·1 answer
  • Classify the solid.<br> PLS HELPP
    12·2 answers
  • A fireman is on the middle step of a ladder. (There are the same number of steps above him as below him.) If he goes down 4 step
    11·1 answer
  • 3x+2x+6v-9g+hd+2v-1g
    6·2 answers
  • A $6 prize was offered at the end
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!