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
kati45 [8]
3 years ago
11

If cos θ = -2/5 and tan θ > 0, what is the value of sin θ? PLEASE HELP!!!

Mathematics
1 answer:
goblinko [34]3 years ago
7 0
If cosФ<0 and tg Ф>0; then we are in the third quadrant, then sin Ф<0

Fundamental realtion of trygonometry:

sin²Ф+cos²Ф=1

Then:
sin Ф=⁺₋√(1-cos₂Ф):
Because we are in the third quadrant; sin Ф=-√(1-cos²Ф)

Sin Ф=-√(1-(-2/5)²)=-√(1- 4/25)=-√(21/25)=-√21 / 5

Answer: sin Ф=-√21 / 5

You might be interested in
Find the slope of the line through (4, 6) and (4, 10).<br> A.0<br> B.3<br> C.1/3<br> D. Undefined
Neko [114]

Answer:

D. Undefined

Step-by-step explanation:

4-4 = 0, 10-6 = 4

Change of x = 0

Change of y = 4

Since the change of x is 0 (a horizontal line), it is undefined.

6 0
3 years ago
You can buy a 20 pound bag of dog food for Doo.<br> What is the cost per pound?
Diano4ka-milaya [45]

Answer:

12$

Step-by-step explanation:

this is a helper

3 0
3 years ago
Read 2 more answers
A 90 oz. bottle of shampoo is sold for $18.95. What is the price per ounce
Veseljchak [2.6K]

This sets up as a very commonly  used proportion.

90 oz / 18.95 = 1 oz / x             Cross multiply

90 x = 18.95                              Divide by 90

x = 18.95 / 90

x = 0.21 dollars or 21 cents.

So each ounce of shampoo costs 0.21 dollars or 21 cents.

This is a very handy way to check best deals. Stores have trained us for years to believe that the more we buy of a brand, the better the price. It isn't always true. Sometimes buying the  smaller quantity is the better deal. There is only one way to be sure and that's to do a proportion like this one.

Try this is an example. The same company makes a smaller container of shampoo of 45 oz for 9.15. How much is 1 oz and which is the better deal? You should get 0.20333 dollars so this is marginally (just) the better deal.

4 0
3 years ago
3 1/2 divided by 3/4
Arisa [49]
4.666. Good luck!!!!!
6 0
3 years ago
Read 2 more answers
Jonathon created a graph that shows the number of exercises he completes in his workout routine.
vitfil [10]

Answer:

3. Jonathon does 2 push-ups for every 15 crunches.

Step-by-step explanation:

Hope it helps

5 0
3 years ago
Read 2 more answers
Other questions:
  • 0.5,3/16,0.755/49 least to greatest
    13·2 answers
  • Stephanie is making 10 bracelets a day to prepare for an upcoming craft fair. Mary has offered to help Stephanie make bracelets
    14·1 answer
  • When my age is divided by 3, the remainder is 1. When my age is divided by 5, the remainder is 3. When my age is divided by 7, t
    14·1 answer
  • Question 4 5 pts For the equation: -k - 4k = 3 (k – 10) - 6 (k - 6), what is the value of k?​
    8·1 answer
  • Noah drew 12 hearts and 24 circles. What is yhe ratio of circles to hearts?In simplified form​
    14·2 answers
  • John paid $150 for renting a boat for 5 hours. Which graph shows the relationship between the cost of renting a boat for differe
    9·2 answers
  • At a university, the percentages of Distinction", "Merit", and Pass' in students are 10%, 20%
    11·1 answer
  • Please help me with questions 7&amp;8!!!!
    13·1 answer
  • John makes $63.70 cutting grass for 5 Hours. How much does he make per hour
    11·2 answers
  • Pls help if I don’t finish today mom will hurt me
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!