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
Nadusha1986 [10]
3 years ago
9

If θ is an angle in standard position whose terminal side lies in quadrant III and sin θ=-√3/2, find the exact value of the tan

θ

Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

Answer:

C) √3

tanθ = √3

Step-by-step explanation:

<u><em>Step:-1</em></u>

Given that  θ be an angle in standard position whose terminal side

Given that the angle

                 sinθ = \frac{-\sqrt{3} }{2}

Given that the Opposite side  AB = \sqrt{3}

                        Hypotensue     AC = 2

<u><em>Step(ii):-</em></u>

<u><em>By using Pythagoras theorem</em></u>

                        AC² = AB² +BC²

                        BC² = AC² - AB²

                       BC²  = 4 - (√3)²

                               = 4-3

                         BC = 1

    Adjacent side(BC)  = 1

<u><em>Step(iiI):-</em></u>

Given that 'θ' lies in the third quadrant so tanθ is positive

                     tanθ = \frac{AB}{BC} = \frac{\sqrt{3} }{1}

                       

You might be interested in
Question 14 (1 point)
Trava [24]

Answer:

150 = x

Step-by-step explanation:

We can use a ratio to solve

100 batches          x batches

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

8 hours                12 hours

Using cross products

100 * 12 = 8x

1200 = 8x

Divide by 8

1200/8 = 8x/8

150 = x

8 0
3 years ago
Read 2 more answers
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them earn up to $400 by payi
LenKa [72]

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours

Using the values from above, we can set up the equation as:

400 = 25m + 10b

or

25m + 10b = 400

This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

3 0
3 years ago
Select the best answer to complete the sentence. A Rigid Motion or Isometry ______________________.
Dmitry_Shevchenko [17]

Answer: A. preserves length, angle measures and distance between points

Rigid motions or isometries are any of the three transformations below

  • translation (aka shifting)
  • rotation
  • reflection

Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.

If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.

5 0
2 years ago
Donna buys a roast that weighs 5.6 pounds and costs $2.25 a pound. Find the amount she pays.
Law Incorporation [45]

Answer:

Donna will have to pay $12.60 for the roast

Step-by-step explanation:

I found this by doing 5.6 × 2.25 and that equals 12.6

pls mark me brainliest

8 0
2 years ago
Read 2 more answers
In an experiment to see if light affected the amount of interaction, one group of students was put in a lighted room for an hour
Ludmilka [50]
The Amount of light. 
8 0
3 years ago
Read 2 more answers
Other questions:
  • If lenny choose a time of day at random to turn on the radio to his favorite station ,l what is the probability that the news wi
    12·1 answer
  • you are painting to sell at a carnival .it takes you 3 hours to paint a small pictures and 4 hours to paint a large picture.you
    6·1 answer
  • Find the z-score for the standard normal distribution where: P (z&lt; -a) = 0.2451
    12·1 answer
  • 35 + 70 = 35(1 + 2)<br> O Yes<br> O No
    14·2 answers
  • Which angles have a greater measure than angle 4 ?
    11·1 answer
  • Maria va a trabajar este verano en una peluqueria canina donde le ofrecen dos tipos de contratos. Con el contrato A cobra 800€ a
    13·1 answer
  • Which statement is true? All squares are rectangles. All quadrilaterals are rectangles. All parallelograms are rectangles. All r
    9·1 answer
  • Write each power as a product and find each value. 10^3
    6·2 answers
  • . Ethan's favorite kind of exercise is running. He runs on a path that is 1.75 miles long. Last week, Ethan ran on the path 6 ti
    9·1 answer
  • Simplify 4r-4r-10s+2s
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!