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
DedPeter [7]
3 years ago
5

Last one! 50 points!​

Mathematics
2 answers:
Zinaida [17]3 years ago
7 0
<h3>SOLUTION :</h3>

<u>Given that</u> :

\frak {\cos( \theta_{1} )  =   -  \frac{13}{15} }

<u>To find</u> :

\frak{  sin( \theta_{1}  )}

We know that cos θ is base/hypotentuse

So, here the base is -13 and the hypotentuse is 15

As we got the base and hypotentuse, perpendicular needs to be found out

Now, applying <u>Pythagoras </u><u>Theorem</u>

According to Pythagoras theorem we know that :

  • (Hypotentuse)² = (Base)² + (Perpendicular)²

Let us assume perpendicular be x

Putting the values we get

  • (15)² = (-13)² + (x)²

  • 225 = 169 + x²

By transposing we get

  • x² = 225 - 169

  • x = √56

  • x = 2√14

<u>sin θ formula : Perpendicular/Hypotentuse</u>

\star \:  \:  \underline{ \overline{ \boxed{ \frak{ sin (\theta_{1})} =  \frac{-2 \sqrt{14} }{15} }}}

<u>Hence, the answer is </u><u>-</u><u>2√14/15</u>

Ipatiy [6.2K]3 years ago
4 0

Answer:

sin theta = -2 sqrt(14)/15

Step-by-step explanation:

cos theta = adj / hyp

We can find the opp side by using the Pythagorean theorem

adj ^2 + opp ^2 = hyp^2

(-13)^2 + opp ^2 = 15^2

169 + opp ^2 = 225

opp ^2 = 225 -169

opp ^2 =56

Taking the square root of each side

sqrt( opp^2) = sqrt(56)

opp = sqrt(4 * 14)

opp = 2 sqrt(14)

Since we are in the third quadrant opp is negative

opp = -2 sqrt(14)

We know

sin theta = opp / hyp

sin theta = -2 sqrt(14)/15

You might be interested in
If 4% of a number is 8, find 1% of that number.
sleet_krkn [62]

Answer:

8 is 4% of 200, 1% of 200 is 2

5 0
3 years ago
SOMEONE MAKE CONVERSATION WITH ME &lt;3
Karolina [17]

Answer:

Shoot I'm down. what you wanna talk about

7 0
2 years ago
James designed a game of chance which involves identical balls numbered from 1 to 50. He selected 5 balls at random and found th
Bad White [126]

It ......... is .......... 38 .........

3 0
2 years ago
If a baseball teams radio of wins to losses is 3 to 4 what is the radio of wins to games played ? (There are no ties)
Trava [24]

Answer: If the team has one 3 out of 4 of their games, the ratio is 3/4, or 75%


Step-by-step explanation:


8 0
3 years ago
Write the solution in interval notation {x| 3 less than or equal to x}
klemol [59]

Answer:

Set in Interval Notation is:  [ 3, ∞)

Step-by-step explanation:

Here, the given expression is:

R  =  {x| 3 less than or equal to x}

Here, the given set is given in the ROSTER FORM of set.

Now, converting the statement in mathematical form, we get:

R  = { x : 3 ≤ x}

So, here: R is the SET OF AL ELEMENTS SUCH THAT each element is either EQUAL TO 3, or GREATER THAN 3.

Writing the st in SET BUILDER FORM, we get:

R = { 3, 4, 5, 6, ....... }

So, R in Interval Notation is:  [ 3, ∞)

4 0
3 years ago
Read 2 more answers
Other questions:
  • A pile of 564 sheets of paper is 25 mm high. Calculate the thickness of 1 sheet of paper. Give your answer in standard form.
    12·1 answer
  • Distribute: 4(x - 3)
    15·1 answer
  • Chris drove 265 miles using 10 gallons of gas. At this rate, how many gallons of gas would he need to drive 424 miles?
    5·1 answer
  • I need help with this. can somebody help?<br>​
    13·1 answer
  • A child weighs 83 pounds. Given that 1 pound is equal to 16 ounces, how many ounces does the child weigh? A. 1,228 ounces B. 1,3
    10·1 answer
  • The quotient of (x4 + 5x3 – 3x – 15) and a polynomial is (x3 – 3). What is the polynomial?
    9·2 answers
  • -3p = -48<br> What does p equal
    11·2 answers
  • Someone help<br> What is 3.5=12s-55
    11·2 answers
  • [35 - (8 + 2)x 3 ] what is the answer
    10·2 answers
  • Emily read 24 fiction books and 2 nonfiction books. What is the ratio of the number of fiction books she read to the total numbe
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!