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
finlep [7]
3 years ago
6

Find the angle theta in radians. ( PLEASE SHOW STEPS )

Mathematics
2 answers:
Kisachek [45]3 years ago
8 0
If you notice, the radius of the circle is 5, and the arc made by θ is 15 units long.

\bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
r=5\\
s=15
\end{cases}\implies 15=5\theta \implies \cfrac{15}{5}=\theta 
\implies \stackrel{radians}{3}=\theta
yKpoI14uk [10]3 years ago
3 0
Hello!

As you can see, we have a radius of 6. If we divide, this means that this is 2.5 radians. To convert radians to degrees we use the formula below.

\frac{180}{ \pi }x

First of all we divide 180 by pi.

180/\pi≈57.3

Now we multiply by 2.5

57.3(2.5)=143.25°

Note that the angle we see is obtuse, or greater than 90°.

Therefore, ∠<span>θ</span>≈143.25°

Now we need to convert this back into radians. This can be represented by the equation below.

\frac{ \pi }{180}x

First we divide pi by 180 then multiply by our angle.

\pi/180(143.25)≈2.5

Therefore, our angle theta is about 2.5 radians.

I hope this helps!
You might be interested in
(2k+11)<br> 131°<br> What is the value of k
Triss [41]
The value of k is 60


131 - 11 = 120
120/2 = 60

hope this helped !
6 0
3 years ago
Read 2 more answers
Use the distributive property to expand -4 (-2/5 + 3 x). Which is an equivalent expression?
Brrunno [24]

Answer:

8/5-12x.

Step-by-step explanation:

To distribute, you simply need to multiply each of the terms inside of the parenthesis by -4. This will give you:

=-4(\frac{-2}{5})-4(3x)

=8/5-12x. This is your answer!

7 0
2 years ago
Ou pick a card at random. Without putting the first card back, you pick a second card at random.
Arte-miy333 [17]
If you cards are only 5,6,7, then the probability of getting even, then even would be zero.

The directions say that the card is not replaced. Therefore, once you pick the 6, there would be no more even cards.
5 0
3 years ago
Sutopa has 3/4 of the money Maneet has. Maneet has $18 less than Kim. Together, they have $286.40. How much money does each of t
anastassius [24]

Solving a system of equations we can see:

  • Sutopa has $73.20
  • Maneet has $97.60
  • Kim has $115.60

<h3>How much money each of them has?</h3>

First, let's define the variables:

  • S =  money that Sutopa has.
  • M = money that Maneet has.
  • K = money that Kim has.

We can write the system of equations:

S = (3/4)*M

M = K - $18

S + M + K = $286.40

First, we can rewrite the second equation to get:

K = M + $18

Now we can replace the first and second equations into the third one:

(3/4)*M + M + (M + $18) = $286.40

Now we can solve this for M:

M*(1 + 1 + 3/4) = $286.40 - $18

M = $268.40*(4/11) = $97.60

Now we can find the other two values:

K = M + $18 =  $97.60 + $18 = $115.60

S =  (3/4)*M =  (3/4)*$97.60 = $73.20

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

6 0
2 years ago
Need help on this question if you could help that would be great.
yanalaym [24]
I’m pretty sure it’s 25
7 0
3 years ago
Other questions:
  • Which angles measure is equal to the sum of the measure of m&lt;sqr and m&lt;qrs
    10·1 answer
  • how do I find a whole number x so that the ratio x:113 is a better estimate for pi than 22/7 and 3.14
    8·1 answer
  • A youth group is setting up camp. Rain is predicted, so the campers decide to build a fly, or rain cover, over their tent. The f
    11·1 answer
  • Write an equation of a line parallel to y = -2x + 3 that passes through (-2,-1)
    9·1 answer
  • 6⋅7-3^2⋅9+4^3 ddssfasgfdggggggggggggggg
    13·2 answers
  • What ordered pair is a solution of the equation y-3=5(x-2)
    12·1 answer
  • A student takes ten exams during a semester and receives the following grades: 90, 85, 97, 76, 89, 58, 82, 102, 70, and 67. Find
    13·2 answers
  • The angle measurements in the diagram are represented by the following expressions.
    15·2 answers
  • Select whether the pair of lines is parallel, perpendicular, or neither. x=−2, y=10
    10·1 answer
  • What is 6 times the square root of 7?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!