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
svp [43]
3 years ago
5

If sin theta =3/7 and tan theta <0 what is the value of cos theta

Mathematics
1 answer:
Savatey [412]3 years ago
7 0

Remember that

\tan\theta=\dfrac{\sin\theta}{\cos\theta}

So if \sin\theta>0 and \tan\theta, then we know \cos\theta.

Then use the Pythagorean identity to solve for cosine:

\cos^2\theta+\sin^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}=-\dfrac{2\sqrt{10}}7

You might be interested in
the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They ne
Sladkaya [172]

Answer:

  a. 2116 miles

  b. 105.8 gallons

  c. $305.76

  d. cost per gallon = total cost / number of gallons = total cost/105.8

Step-by-step explanation:

<h3>a. </h3>

The round-trip distance is the sum of the distances there and back. It is double the one-way distance.

  round-trip distance = 2 × one-way distance

  round-trip distance = 2 × 1058 miles = 2116 miles

__

<h3>b.</h3>

The gas used will be the distance divided by miles per gallon.

  gas used = round-trip distance / miles-per-gallon

  gas used = (2116 mi)/(20 mi/gal) = 105.8 gal

__

<h3>c.</h3>

The cost of gas will be the product of cost per gallon and number of gallons.

  cost of gas = cost-per-gallon × gallons

  cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76

__

<h3>d.</h3>

The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...

  (cost of gas)/gallons = cost-per-gallon

For the same trip, the number of gallons is 105.8, so the equation becomes ...

  cost-per-gallon = (cost of gas)/105.8

3 0
2 years ago
400 quarts into a container that holds 4/7 of a quart. how many containers were used?
77julia77 [94]
700 container 
hope this helps

4 0
2 years ago
Which exponential equation is equivalent to the logarithmic equation below? log 478= a
marta [7]
\hbox{if } \log_x y=z \hbox{ then } x^z=y \\ \\&#10;\log 478=a \\ \downarrow \\&#10;\log_{10} 478=a \\ \Downarrow \\ \boxed{10^a=478}

The answer is A.
5 0
3 years ago
The percentile of 1.2 equals?
laila [671]

It’s 0.3 because that’s the answer

6 0
2 years ago
A paint company charges $5.00 per square foot and a $380.00 flat fee. The company is offering a 10% discount on the total painti
rjkz [21]

Answer:

y=(5x+380)/10

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Kim bought $100 worth of stock and gained $25 per year. Ari bought $400 worth of stock and lost $35 per year. Use x for time and
    13·1 answer
  • Use the given data valuesâ (a sample of female arm circumferences inâ centimeters) to identify the corresponding z scores that a
    11·1 answer
  • Solve 2x^2 - 7x - 15 = 0. <br> a, (3/2,-5)<br> b (-3/2,5)<br> c ()
    12·1 answer
  • Which describes the relationship between ZNOM and ZJOK in the diagram?
    11·1 answer
  • If a = 6, b= 7.5 and c= -2, calculate:<br> a + b + c
    15·2 answers
  • The average amount of money spent for lunch per person in the college cafeteria is $6.35 and the standard deviation is $2.31. Su
    9·1 answer
  • |x+10| / 9 &lt; 2<br><br> Solve the inequality, show step by step
    13·1 answer
  • 448 / 28 show your work ​
    6·2 answers
  • Can someone help me understand Inverses for algerbra???
    9·1 answer
  • HELP OR I WILL EAT ALL YOUR COOKIES
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!