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
HELP ME PLEASE!!!! I NEED HELP!!!!!
frutty [35]

Answer:

(8, -22)

Step-by-step explanation:

If you solve to find the slope of the first table on the left you get -4x +10 and the second table you get -3x+2. You can find their intersection on the calculator and get (8, -22)

6 0
3 years ago
Write the slope-intercept form of the equation of the line perpendicular to the graph of y=-3/2x-7 that passes through (3,-2)
ozzi
Graph of y = -3/2x - 7 has a slope of -3/2.
For perpendicular lines the product of the slopes is -1.
m1m2 = -1
-3/2m2 = -1
m2 = -1/(-3/2) = 2/3

The required equation,
y - (-2) = 2/3(x - 3)
y + 2 = 2/3x - 2
y = 2/3x - 4
8 0
3 years ago
Plz help ASAP PLZZZ!!!
gayaneshka [121]

Answer:

A. EF

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Shira's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below
andre [41]

Answer:

10x+45

Step-by-step explanation:

8 0
3 years ago
A 7000.00 principal is invested in 2 accounts, 1 earning 3%interest the other 7% interest with the total interest for the year 2
MakcuM [25]

Answer:

The amount in the first account is $5,700

The amount in the second account is $1,300

Step-by-step explanation:

Let the mount invested in the first account be x and the one invested in the second account be y.

Then the total principal is x+y=7000---->(1)

The interest in the first account is .03*x

The interest in the first account is .07*y

The total interest for the year  is 262.00.

This implies that:

0.03x+0.07y=262---->(2)

We solve the two equations simultaneously to get:

x=5,700 and y=1,300

7 0
3 years ago
Other questions:
  • If f(x)=2x+4 and g(x)=3x-7; then find (f+g)(4)
    7·1 answer
  • Weekly math review-Q1.6
    13·1 answer
  • Find the rate of change for the situation.
    7·2 answers
  • X-y = 10 x^2-y^2 = 60 x^2+2xy+y^2=?
    14·1 answer
  • How to answer this question
    10·1 answer
  • What is the coefficient in the expression below?<br> 7b + 10
    6·2 answers
  • LMNP is rotated 180° clockwise around the origin.
    9·1 answer
  • A mile is 5280 feet. How many miles per hour is equal to 528 feet per minute?
    12·1 answer
  • If you have a question or a comment USE THE QUESTION COMMENTS GOD DANG IT
    9·1 answer
  • HELPPPPPPP MEEEEE<br> BUT PUT THE CORRECT ANSWER
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!