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
3241004551 [841]
2 years ago
6

If italic sin open parentheses 2 x close parentheses equal italic cos open parentheses x plus 30 degree close parentheses comma

what is the value of x?.
Mathematics
1 answer:
dolphi86 [110]2 years ago
5 0

Using complementary angles, it is found that the solution to the trigonometric equation is of x = 20.

<h3>What are complementary angles?</h3>

Complementary angles are two angles whose measures add to 90º.

If two angles a and b are complementary, we have that the sine of one is the cosine of other, that is:

\sin{a} = \cos{b}

In this problem, the equation is:

\sin{(2x)} = \cos{(x + 30)}

Hence, they are complementary, which means that:

2x + x + 30 = 90

3x = 60

x = \frac{60}{3}

x = 20

The solution to the trigonometric equation is of x = 20.

More can be learned about complementary angles at brainly.com/question/11161460

You might be interested in
A rectangle has an area of 12 square feet and a length of 5 feet. What is its width?
Lera25 [3.4K]
Well, you know that the area of the rectangle is 12 square feet. And you know one of the numbers multiplied to get 12 is 5, so divide 12 by 5. You would get 2.4 as the other number needed.
In this case, 5 feet is the width and 2.4 feet is the length.
8 0
3 years ago
Read 2 more answers
the perimeter of the floor of a room is 18 metre and its height is 3 cm what is the area of 4 walls of the room​
Lina20 [59]

Note: The height of the room must be 3 m instead of 3 cm because 3 cm is too small and it cannot be the height of a room.

Given:

Perimeter of the floor of a room = 18 metre

Height of the room = 3 metre

To find:

The area of 4 walls of the room.

Solution:

We know that, the area of 4 walls of the room is the curved surface area of the cuboid room.

The curved surface area of the cuboid is

C.S.A.=2h(l+b)

Where, h is height, l is length and b is breadth.

Perimeter of the rectangular base is 2(l+b). So,

C.S.A.=\text{Perimeter of the base} \times h

Putting the given values, we get

C.S.A.=18\times 3

C.S.A.=54

Therefore, the area of 4 walls of the room is 54 sq. metres.

7 0
3 years ago
Which phrase describes the algebraic expression B2+7?
svp [43]

Answer:

180

Step-by-step explanation:

3 0
3 years ago
What equation represents a line that is parallel to y=3X +5
Lina20 [59]
A line that is parallel to another line will have the same slope, in our case, the slope of 3. Therefore, we can just change the y-intercept to create any line parallel to y=3x+5 (just remember to keep the slope the same). For example, y=3x+5, y=3x-9, and y=3x+6.2 are all equations that are parallel to y=3x+5.

:)

8 0
3 years ago
Can somebody pls help I’ll mark brainliest
Mnenie [13.5K]
<span><u><em>Answer:</em></u>
64

<u><em>Explanation:</em></u>
The square of any number can be obtained by multiplied the number by itself.
<u>In other words:</u>
square of x = x</span>²<span> = x * x

For the given, we want to get the square of 8. This means that we will <u>multiply 8 by itself.</u>
Therefore:
square of 8 = 8</span>²<span> = 8 * 8 = 64

Hope this helps :)</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • How to put it into the input table and how to graph it
    5·1 answer
  • The length of a side is only the positive square root because length cannot be ________.
    13·1 answer
  • Barb had $112 in her savings account. Then deposited the same amount of money into her savings account in the next 4 months. Now
    11·2 answers
  • Write the equation of a line parallel to y=3
    10·2 answers
  • You need to have a password with 4 letters followed by 3 even digits between 0 and 9, inclusive. If the characters and digits ca
    10·1 answer
  • Due in 3 mins please help!!!
    6·1 answer
  • Gegygwugduwbudbwbdubwudbuwh7fh7whf8hw8hf8hw8hf8e​
    13·2 answers
  • 43.8 divided by 3 what the answer hurry pls
    8·1 answer
  • Need help with this please! best answer will get brainliest!!
    14·1 answer
  • Find the slope of the line shown on the graphs to the right
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!