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
Inessa05 [86]
3 years ago
5

Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ​

Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

30°

Step-by-step explanation:

\because \:  \sin(90 \degree -  \theta) =  \cos \theta \\ \therefore \:  \sin(90 \degree - 5 \theta) =  \cos 5\theta....(1) \\  \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree -  \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree -  \theta) \\ 5 \theta = 180 \degree -  \theta \\  5 \theta  + \theta= 180 \degree  \\ 6\theta= 180 \degree  \\  \theta =  \frac{180 \degree}{6}  \\  \\  \huge \red{ \boxed{\theta = 30 \degree}}

You might be interested in
At a local amusement park, 70% of the rides are made for kids who are 48 inches and taller. If there are 80 rides in total, how
Musya8 [376]

Answer:

56

Step-by-step explanation:

Basically you want to find out what is 70% of 80.

first you have to set up your problem

\frac{n}{80} = \frac{70}{100}

the first fraction would be the percent (70) over 100. (you always use 100)

The fraction to the left would be n over 80. the denominator (the number on the bottom) would be the whole amount. n would be the unknown number

To solve you would use the butterfly method. 80 x 70 and 100 x n. 80 x 70 is 5600 and 100 x n is 100n.

The final step is dividing. 5600 divided by 100 giving you 56

8 0
2 years ago
Neil started a stamp collection with 12 stamps. Every week , he adds 4 more stamps to the collection. Which function? F represen
svlad2 [7]

Answer:

s=4w+12

Step-by-step explanation:

Let

s -----> the number of stamps

w ----> the number of weeks

we know that

The linear equation that represent this situation is

s=4w+12 ----> equation of the line into slope intercept form

where

the slope m is equal to m=4\ stamps/week

the y-intercept b is equal to b=12\ stamps ---> (the initial value)

7 0
2 years ago
Combining like terms-5x+5
Liula [17]

Answer:

This term would not change at all when combining like terms.

Step-by-step explanation:

Because the first term has a variable and the second does not, they can not be combined. Therefore, there is not change to this assignment

8 0
3 years ago
What is the volume of the cylinder below?
Anestetic [448]

Volume = πr²h


3.14 * (18 : 2)² * 12 =

3.14 * 9² * 12 =

3.14 * 81 * 12 =

254.34 * 12 =


3052,08 mm³



7 0
3 years ago
Read 2 more answers
PLEASE HELP ME D: given the parent function of f(x) = x3, what change will occur when the function is changed to f(x − 3)
Alexxandr [17]
Hello,

Your answer would be:

The parent function is : f ( x ) = x³
f ( x + 3 ) = ( x + 3 )³
shift to the left 3 units.

Plz mark me brainliest!

Hope this helps!
4 0
3 years ago
Other questions:
  • Multiply by 1,2,3, and so on to find the first six multiplies of the number 6. The multiple are
    7·2 answers
  • DG¯¯¯¯¯¯ , EG¯¯¯¯¯ , and FG¯¯¯¯¯ are perpendicular bisectors of the sides of △ABC . DG=5 centimeters and BD=12 centimeters. What
    9·2 answers
  • D=5, a10=48. find a45
    9·1 answer
  • A bakery made 26 cherry pies, using 115 cherries for each pie. They threw away 36 cherries that were bad. If they used all the c
    12·1 answer
  • Where the points (0,0) Where the x-axis and the y-axis intersect is also called a
    6·2 answers
  • Is a swing considered a parabola?
    10·1 answer
  • Find the missing exponent.
    6·2 answers
  • 3 3/15 + 4 2/5
    7·2 answers
  • What equivalent to 8(3x + 2y) by the distributive property?
    12·1 answer
  • The number of pets is shown for houses on four different streets. Which data set fits a normal distribution curve?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!