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
matrenka [14]
3 years ago
8

Why does sin54°≈0.809≈cos36° in a right triangle?

Mathematics
1 answer:
allsm [11]3 years ago
7 0

9514 1404 393

Answer:

A

54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

Step-by-step explanation:

The answer explains itself.

The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are <em>complementary</em> (not supplementary).

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

You might be interested in
Which fraction has the greatest value?<br> 1/15<br> 1/20<br> 1/10
Alecsey [184]
1\10 has the greatest value as it is the smallest number diving one
3 0
4 years ago
Read 2 more answers
Casey rented a college astronomy textbook from an online bookstore. The 6-month rental fee for the textbook was $85. There was a
Free_Kalibri [48]

Answer: $95.20

Step-by-step explanation:

3 0
3 years ago
A person suspects a standard number cube is not so standard. Another person rolls this cube 100 times, and it lands on a six 42
Ksju [112]

Answer:

The chance of an average six-sided number cube landing one one number is 1/6, or approximately 16.67%. When rolling a number cube 100 times, the average number of times it lands on any specific number should be fairly close to 16.67.

A 6 being rolled 42 times and 33 times means that it is <em>very likely</em> not to be a standard number cube. Although we cannot know for certain, the chance of this happening is very low.

3 0
3 years ago
Which combination of shapes can be used to create the 3-D figure?
Leto [7]

Answer: Two regular octagons and eight congruent rectangles

Step-by-step explanation:

An octagon has 8 sides and the shapes on the bottom of the shape are 8 rectangles.

6 0
3 years ago
Read 2 more answers
A line passes through the point (3,2) and (6,2) a write an equation for the line in point-slope form rewrite the equation in sta
NeTakaya
(3, –2) and (6, 2)First, we must establish slope...m=(y-y1)/(x-x1)m=(-2-2)/(3-6)m=-4/-3m=4/3Point slope formula is...y-y1=m(x-x1)Let's select either coordinate.  I randomly select the first (3, –2)...y--2=4/3(x-3)Subtracting a negative number is the same as adding a positive number...y+2=4/3(x-3)This corresponds to the first answer.Standard form...Ax+By=Cy+2=(4/3)x-4y=(4/3)x-6-(4/3)x+y=-6Multiply both sides by 3...-4x+3y=-18This also corresponds to the first answer. How about the second coordinate, (6, 2)...y-y1=m(x-x1)y-2=(4/3)(x-6)Let's convert it into standard form..y-2=(4/3)x-8y=(4/3)x-6-(4/3)x+y=-6Multiply both sides by 3...-4x+3y=-18
8 0
3 years ago
Other questions:
  • Which function has an inverse that is also a function?
    9·2 answers
  • Which lines are perpendicular?
    12·1 answer
  • (x+6)(x-5) = x²+x-30
    9·1 answer
  • Explain how the number of pieces in a whole relates to the size of each piece
    15·2 answers
  • There are 15 rolls of film in a box and 3 are defective. Two rolls are to be selected, one after the other. What is the probabil
    12·1 answer
  • I need help .Can you do Questions 1,2,3,4,5,6 and 7 Please?
    12·1 answer
  • How many solutions would there be for the following system of equations?
    7·2 answers
  • Saw a board 5 ft 1 in. Long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be?
    9·1 answer
  • Amelie and her friends pick 27 pounds of blueberries. Each pound of blueberries contains 195 blueberries. How many blueberries d
    8·1 answer
  • A researcher wants to know how dog owners in the United States feel about establishing a law requiring individuals who own pit b
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!