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
hoa [83]
3 years ago
8

for all positive angles less than 360°, if csc csc (2x+30°)=cos cos (3y-15°), the sum of x and y is?​

Mathematics
1 answer:
nevsk [136]3 years ago
5 0

Answer:

35 degrees

Step-by-step explanation:

for all positive angles less than 360°, if csc (2x+30°)= cos (3y-15°), the sum of x and y is?​

Let the given expression be equal to 1, hence;

csc (2x+30°)= cos (3y-15°) = 1

csc (2x+30°) = 1

1/sin(2x+30) = 1

1 = sin(2x+30)

sin(2x+30) = 1

2x+30 = arcsin(1)

2x+30 = 90

2x = 90-30

2x = 60

x = 60/2

x = 30 degrees

Get the value of y;

cos (3y-15°) = 1

3y - 15 = arccos (1)

3y - 15= 0

3y = 0+15

3y = 15

y = 15/3

y = 5

Sum of x and y;

x+y = 30 + 5

x+y = 35degrees

Hence the sum of x and y is 35 degrees

You might be interested in
How to set the answer up
Korolek [52]

Let s and g represents the numbers of suits and gowns produced.

The number of zippers used is 2s+g.

The number of buttons used is 5s+8g.

In order to use all of the available zippers and buttons, we must have ...

  • 2s + g = 171
  • 5s + 8g = 576

Cramer's rule tells you the solution to the system

  • ax +by = c
  • dx +ey = f

Is given by

  • x = (bf-ey)/(bd-ea)
  • y = (cd-fa)/(bd-ea)

Using this rule on the equations for zippers and buttons, we have

... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72

... g = (171·5 -2·576)/-11 = -297/-11 = 27

72 suits and 27 gowns can be made from available zippers and buttons.

3 0
3 years ago
Write an equation to represent this line in point slope and slope intercept form....need help please..thanks.
GrogVix [38]
We can use rise over run to determine the slope is 5/8. Using this slope and the point (5,2) we can write the equation: y-2 = 5/8 (x-5) 

Decimal form of 5/8 is .625 , so it could be written y-2 = .625*(x-5)
5 0
3 years ago
What's the algebraic expression for the sum of v and 3
dangina [55]
The sum means addition
v + 3
6 0
3 years ago
What is the answer to (−2)³
svetlana [45]

(−2)³ = (-2)(-2)(-2)

Note that:

two negative numbers multiplied together results in a positive

one negative and one positive number multiplied results in a negative

Multiply:

(-2)(-2) = 4

4(-2) = -8

-8 is your answer

hope this helps

4 0
3 years ago
Read 2 more answers
The length of a rectangle is 8 m more than 6 times the width. The perimeter is 156 m. Find width.
Alla [95]
<span>width = x
</span><span>length = 6x + 8 

x + 6x + 8 = 156/2
7x + 8 = 78
7x = 78 - 8
7x = 70
x = 70/7
x = 10 m  </span>← width
5 0
3 years ago
Other questions:
  • On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minute
    6·2 answers
  • a machine made 2 2/6 pencils in 3 3/4 minutes. how many pencils would the machine have made after/minute
    13·1 answer
  • 136% of________= 325
    9·1 answer
  • How do I figure out what 5550/1000
    5·2 answers
  • EASY 50 POINTS. PLEASE HELP!!!
    12·1 answer
  • A bakery uses 3/4 cups of oats to make a 2 4/7 pounds of oatmeal cookies.how many cups of oats are required per pound of cookies
    14·1 answer
  • Which statements about the opposite of −12 are true?
    15·2 answers
  • What answer question please now
    15·1 answer
  • Consider this linear function y=1/2x+1 plot all ordered pairs for the values in the domain D:{-8,-4,0,2,6}
    15·1 answer
  • Determine whether each expression is equivalent to 10^t^2+2t-3
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!