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
emmainna [20.7K]
3 years ago
15

If tan(theta) is 5/12 and theta is an acute angle, find sin(theta)

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Comment

The tangent represents the sides making up the right angle in a right angle triangle. To find out the answer to what you have asked, the simplest way is to assume that you are talking about a right angle triangle.

Step One

Find the hypotenuse. Use a variation of the Pythagorean Theorem.

opposite^2 + adjacent^2 = hypotenuse^2

5^2 + 12^2 = x^2

25 + 144 = x^2

x^2 = 169

sqrt(x^2) = sqrt(169)

x = 13

Step Two

Find the sine.

When the tangent is given, the opposite in this case is 5.

That's because the opposite is always the numerator of a tangent.

Sin(theta) = 5/13 Answer

You might be interested in
True or False: if the product of three numbers is negative, then all the numbers are negative?
S_A_V [24]
This question would be false
3 0
3 years ago
ASAP HELPPPPPPPPPPPPPP MEEEEB PLEASE
Andru [333]

Answer:

250 questions

Step-by-step explanation:

65 is equal to 26% of the total number of questions so:

65 / total number of questions (x) is equivalent to 26 / 100

(65 and 26 are a fraction of the whole thing. it doesn't matter whether they go on the numerator or denominator, as long as they are either both on one or the other)

65/x = 26/100

you can simplify this into

26x = 6500

/26    /26

then you divide by 26 on both sides to isolate the variable

x = 250

5 0
3 years ago
What is the approximate angle between two position vectors if their terminal points are (5, -2) and (7, 3)?
adell [148]

Hi,

Answer:

Angle=\frac{pi}{4} = π/4 = 45°

Have a good day.

5 0
3 years ago
chad randomly chooses a card from a standard deck 30 times. what is the probability he gets a diamond exactly 4 times
Margarita [4]

Answer:

From a standard deck of cards, one card is drawn. What is the probability that the card is black and a jack? P(Black and Jack) P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26 A standard deck of cards is shuffled and one card is drawn. Find the probability that the card is a queen or an ace.

Step-by-step explanation:

4 0
3 years ago
Choose the correct conic section to fit the equation y= 1/8x
Kazeer [188]
<span> y=1/8x^2 
Hope this helps! </span>
4 0
3 years ago
Other questions:
  • HELPPPPPP IMMA FAIL!! PLSSSSSS!!
    5·1 answer
  • I am being timed. Please help
    12·1 answer
  • The sum of three consecutive even integers is fifty four. what is the second integer?
    13·1 answer
  • A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
    6·1 answer
  • There are 450 children that attend a high school. Of those students. 23%
    12·1 answer
  • X - y = 8 and -x + y = 4 solve the equation of linear equations by substitution​
    6·1 answer
  • Can someone please help me? I keep losing points...
    12·2 answers
  • What are the solutions to the quadratic equation 5x2 – 8= –12x?
    12·2 answers
  • Rewrite the following using exponents.<br> 5*5*5*5*5*5<br> O<br> 25<br> (5) * (6)<br> 056
    10·1 answer
  • Use Newton’s Method to find the solution to the equation
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!