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
Zanzabum
3 years ago
12

Pleasee help mee12sin(x)-5cos(x)=6,5​

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

We turn -5,12 into polar coordinates.  It's a Pythagorean Triple so

r = 13   Ф=arctan(-12/5) + 180°   ( in the second quadrant )

so -5 = 13 cos Ф, 12 = 13 sin Ф

12 sin x - 5 cos x = 6.5

13 sinФ sin x + 13 cos Ф cos x = 6.5  

13 cos(x - Ф) = 6.5

cos(x - Ф) = 1/2

cos(x - Ф) = cos 60°

x - Ф = ± 60° + 360° k     integer k

x = Ф ± 60° + 360° k  

x = 180° + arctan(-12/5) ± 60° + 360° k  

That's the exact answer;

x ≈  180° - 67.38° ± 60° + 360° k  

x ≈  122.62° ± 60° + 360° k  

x ≈  { 62.62°, 182.62°} + 360° k,  integer k

You might be interested in
a cell phone company offers two different monthly plans.plan a charges $41 for unlimited cell phone minutes plus $0.10 per text
tiny-mole [99]

41+0.10x = 31+0.15x

10 +0.10x=0.15x

10=0.05x

x=10/.05

x= 200 text messages


check 200*0.10 = 20 +41 =61

200*0.15 = 30+31 = 61

 they equal each other so number of texts is 200

6 0
3 years ago
Solve equation by factoring.
3241004551 [841]

Hi ;-)

x^2+6x-10=30 \ \ /-30\\\\x^2+6x-40=0\\\\a=1, \ b=6, \ c=-40\\\\\Delta=b^2-4ac=6^2-4\cdot1\cdot(-40)=36+160=196\\\\\sqrt{\Delta}=\sqrt{196}=14\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-6-14}{2}=\boxed{-10}\\\\x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-6+14}{2}=\boxed4

8 0
3 years ago
a summer concert series has 12 different prerforming artisits. you decide to attend at least 4 of the concerts. how many differe
Maslowich

Answer:

48 I think

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the distance between A(2,3,5) and B(6,7,-2)<br> (pictures of the answer above)
scoray [572]

Answer:

I think it's B (Sorry if im wrong)

3 0
3 years ago
Y=4(-1)+3<br> Linear Equations
rewona [7]

Your equation states y = 4(-1) + 3

Since the parentheses touch the number 4 which means you multiply, we will start with that first.

4 × -1 or 4(-1)  (it means the same thing) would be -4

Now let us combine the equation.

y = -4 + 3

The addition property is included now,

-4 + 3 = -1

Therefore, your answer would be y = -1


Hope this helped! :D

7 0
3 years ago
Other questions:
  • John needs 13 bottles of water from the store. john can only carry 3 at a time. what's the minimum number of trips john needs to
    13·1 answer
  • How are the dividend and divisor of a division expression related to parts of a fraction
    6·1 answer
  • Colton scored a 70 on his first math test of the semester and a 91 on his second math test. By what percent did Colton’s score i
    5·1 answer
  • Hi how are you today also bye
    7·2 answers
  • Convert 3.5km to meters
    13·1 answer
  • Need help with 16-20
    8·1 answer
  • Find equivalent fractions 1/6, 1/3, 3/4 and order from least to greatest
    7·2 answers
  • Help meeeeeeeeeeeeeeee
    6·1 answer
  • Find the missing angle of the triangle with angle measurements of 75º and 80º. What is the missing angle? Explain how you found
    9·1 answer
  • The table represents the function 7 = 5x- Output ) Input (3) -2 -18 8 x 1 2 2 12 8 2 2. What is the input when the output is 12
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!