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
AnnyKZ [126]
2 years ago
13

Which value of x solves the equation cos x° = sin (20° + x°), where 0 < x < 90? A. 30° B. 35° C. 40° D. 45° E. 55°

Mathematics
1 answer:
daser333 [38]2 years ago
4 0

Answer:

Option B (35°).

Step-by-step explanation:

To solve this question, the trigonometric identity sin x = cos (90-x) is required. It can also be written as cos x = sin (90-x). It can be seen that this identity holds when the two angles are complementary i.e. they sum up to 90 degrees. Therefore, the answer can be determined by substituting all the options one by one in the identity cos x = sin (20+x). If x=30 degrees, then x+20=50 degrees. 30 and 50 are not complementary. If x=35 degrees, then x+20=55 degrees. 35 and 55 are complementary since their sum is 90 degrees. Therefore, B is the correct choice!!!

You might be interested in
The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can
never [62]

Answer:

The width is 11 units.

Step-by-step explanation:

First, you have to add 4 to 18 which is 22. Then divide by 2.

8 0
3 years ago
What is the following sum? 5(3√x)+9(3√x)
charle [14.2K]
5(3√x)+9(3√x)
=3√x(5+9)
=14(3√x)

answer is C. third choice 14(3√x)
3 0
3 years ago
Read 2 more answers
Convert 15.5 feet to<br>meters. ​
frutty [35]

Step-by-step explanation:

15.5 feet to meter =4.7244

5 0
2 years ago
Please help will give brainliest
zheka24 [161]

Answer:

25 is the area because5 times 5 equals 25

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
Plss help i’ll give brainliest thank you!
Troyanec [42]

Answer:

The answer would be D or 8 bc 8x1=8 8x2=16 and that would be the GCF.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • jacks car used 18 gallons of gasoline to go for 68 miles at that rate how many gallons would be used to go 754 miles
    14·1 answer
  • 3273 is least or greather to 3279
    11·2 answers
  • I need help! Please. Justify answer using Intermediate value theorem (IVT)
    7·1 answer
  • We paid $40 for 8 Hamburgers how much would we pay for 24 hamburgers
    12·2 answers
  • Is the relationship shown by the data linear? If so, model the data with an equation. x= -7, -5, -3 ,-1 , y = 5, 9, 13, 17
    11·1 answer
  • Find the sum 9/10 + 4/100 =?
    10·1 answer
  • At 1 p.M., the number of bacteria in a petri dish is 54. It is estimated that the population of bacteria will increase by 6% eac
    11·1 answer
  • Write an algebraic expression for the verbal expression: three times the sum of X and Y increase by five times the product of x
    5·1 answer
  • Can someone please help me solve for x for me?????It’s for my test and please show the work so that way I know how to do it now:
    15·1 answer
  • Need help with question 1 2 and 3 read the question on the image carefully!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!