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
kap26 [50]
3 years ago
13

Suppose that sinθ=8/17 and θ is in the second quadrant. Find sin(2θ), cos(2θ), and tan(2θ) exactly.

Mathematics
1 answer:
gregori [183]3 years ago
3 0
sin(2Θ) = 2cosΘsinΘ
sinΘ=opposite/hypotenuse=8/17
adjacent = (17^2 - 8^2)^1/2 =15
sin(2Θ) = 2cosΘsinΘ = 2 *(15/17)*(8/17)= 240/289
opposite of 2Θ equals 240
hypotenuse of 2Θ equals 289
adjacent of 2Θ = (289^2 - 240^2)^1/2 = 161
cos(2Θ) = 161/289
 tan(2Θ) = 240/161


You might be interested in
2. CARS It took Lisa 85 minutes to wash three cars. She spent x minutes on each car and 10 minutes
melisa1 [442]

Answer:

please don't delete

Step-by-step explanation:

ill give points back

7 0
3 years ago
Read 2 more answers
Helpppppppppppppp I’ll mark u
Nataly_w [17]
-35 is the answer hope this helps
4 0
3 years ago
Solve for x. The number that is cut off is 14. Suppose that both figures are similar.
Mekhanik [1.2K]

Since both rectangles are similar, the following ratio must be fulfilled:

\frac{x+9}{14}=\frac{9}{6}

By multiplying both sides by 14, we get

\begin{gathered} x+9=\frac{9\times14}{6} \\ x+9=21 \end{gathered}

and by subtracting 9 to both sides, we have

x=12

Therefore, the answer is 12.

5 0
2 years ago
The length of a solar car race track is supposed to be 4.8 meters.
snow_tiger [21]

Answer:

  -12.5%

Step-by-step explanation:

A percentage change is computed using ...

  percent change = ((new amount) -(original amount))/(original amount) × 100%

We want to find the percentage change from 4.8 m, so we have ...

  percent change = (4.2 -4.8)/4.8 × 100% = -.6/4.8×100% = -12.5%

The carpenter made the track 12.5% too short.

7 0
4 years ago
A trip to another city is 180 miles. In miles per hour to the nearest tenth, how fast does one have to drive to average 60 mph o
irakobra [83]

Answer:

63.5

Step-by-step explanation:

If one didn't take a 10 minute break he could drive 60 mph totalling 180 minutes but since he did and 180 - 10 = 170. He/she has to drive 180 miles in 170 min. so we take so we divde 180/170 and multiply by 60. If you round it to the nearest tenth you get 63.5

7 0
3 years ago
Other questions:
  • Please help ASAP. The question is down below. Thanks
    8·1 answer
  • Dale bought a map of his city.it uses a scale of 1 inch = 8miles. dales house and school are 1 1/2 inches apart on the map. how
    8·1 answer
  • O prove that all circles are similar, you would use similarity
    8·1 answer
  • Marie purchased a $29.00 gift for a baby shower. She uses a coupon that offers 30% off. How much will Marie spend on the gift af
    5·1 answer
  • What is the result of dividing x3−6 by x + 2?
    10·1 answer
  • Can someone help me please?
    14·1 answer
  • Find the perimeter of this rectangle when l=15mm and w=8 mm
    11·2 answers
  • Help!<br><br> among us<br> Fwkqnf
    8·2 answers
  • Write down five numbers, so that the mean is 6, the median is 5 and the mode is 4.​
    5·1 answer
  • A school is holding a carnival and hopes to raise $500. Child tickets cost $3 and adult
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!