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
natulia [17]
3 years ago
10

If θ is in Quadrant III and sinθ = -3/5, then cosθ = _____.

Mathematics
1 answer:
Nikolay [14]3 years ago
4 0
Because the angle omega is in QIII, the adjacent side lies to the left of the origin and thus is represented by a negative value.  Since sin omega = -3/5, the opposite side is also negative.  Use the Pythagorean Theorem to obtain the length of the adjacent side:  5^2 = (-3)^2 + x^2, or 25 = 9 + x^2, or x^2 = 16.

Solving for x:  x = plus or minus 4.  Since we are in QIII, let x = -4.

Then cos omega is  opp / hyp, or -4/5.
You might be interested in
Find the length of each side of a square plot having 172m.​
Kisachek [45]

Is 172 the area or perimeter.

8 0
3 years ago
If the range of the coordinate transformation f(x,y) = (x – 5, y – 3) is (-6,-6) and (2,-3).
lina2011 [118]

Answer:

(-2,1),(-1,2),(-3,5/3)

Step-by-step explanation:

6 0
3 years ago
Which of the following is not a factor of x^3 – 3x^2 – 4x + 12?
Slav-nsk [51]

Answer:

c. (x + 3)

Step-by-step explanation:

using factor theorem

if x - 3 is a factor then p(a) = 0

p(a)= x^3 - 3x^2 - 4x + 12

a.(x-3)

p(3) = (3)^3 - 3(3)^2 - 4(3) + 12

= 27 - 27 - 12 + 12

= 0

therefore x-3 is a factor

b.(x + 2)

p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12

= -8 -12 + 8 + 12

,= 0

therefore x + 2 is a factor

c.(x + 3)

p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12

= -27 -27 + 12 + 12

= -30

therefore x + 3 is not a factor

d.(x-2)

p(2) = (2)^3 - 3(2)^2 - 4(2) + 12

= 8 -12 - 8 + 12

= 0

therefore x - 2 is a factor

4 0
3 years ago
Describe a real world problem you can solve with a calculator and a measuring stick (mathematics)
emmainna [20.7K]
- Calculating the area of a soccer field, Calculate area of _______

- Calculate the average height of everyone in your family




5 0
3 years ago
Error error error error error
emmainna [20.7K]
Error error error error error error error

8 0
4 years ago
Other questions:
  • What is the surface area of the right prism given below?
    6·1 answer
  • The projected worth (in millions of dollars) of a large company is modeled by the equation w = 206(1.1) t. The variable t repres
    12·1 answer
  • What is the order of these numbers from least to greatest <br> 1 4/5, 1/2, -3 7/8, -7/9, -3/5
    7·1 answer
  • Jennifer's grandmother buys carrots atvthe farm stand. she and her 3 grandchildren equally share the carrots. how many kilograms
    8·1 answer
  • Solve for x.<br> x2 + 8x + 15 = 0
    10·1 answer
  • Who can tell me what all the prime numbers are,please!!!!!!!!!!!!!
    13·2 answers
  • En que se parecen una potencia a una multiplicación?
    7·1 answer
  • Which of the following represents the graph of f(x) = 2x? (1 point)
    7·1 answer
  • Twenty decreased by the product of four and a number
    12·1 answer
  • 19→ What is the next number in the following series of numbers? 3, 6, 9, 15, 24, 39, A 25 B 51 C 63 D 58 ​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!