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s344n2d4d5 [400]
2 years ago
13

A circle with circumference 6 has an are with a 20° central angle.

Mathematics
2 answers:
Marysya12 [62]2 years ago
7 0

Answer:

AHH! Geometry!

Thanks!

The arc has a length of 1/3

Step-by-step explanation:

So you first start off with this:

\frac{20}{360}

This is because a circle is 360 degrees, and we are talking about a 20 degree arc.

Simplifying, we get \frac{1}{18}

So then, you multiply the circumference with this "factor"

\frac{1}{18} *6=\frac{6}{18}=\frac{1}{3}

Hope this helps!

P.S. Stay Safe during quarantine!

Igoryamba2 years ago
4 0
The length of the arc would be 1.05

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PLEASE HELP ME If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z? z = 3 z = 4 z = 5 z = 6
Burka [1]

Answer:

  z = 6

Step-by-step explanation:

We know that ...

  sin(x) = cos(90 -x)

Substituting (9z-1) for x, this is ...

  sin(9z -1) = cos(90 -(9z -1))

But we also are given ...

  sin(9z -1) = cos(6z +1)

Equating the arguments of the cosine function, we have ...

  90 -(9z -1) = 6z +1

  90 = 15z . . . . . . . . . add (9z-1) to both sides

  6 = z . . . . . . . . . . . . divide by 15

_____

<em>Comment on the graph</em>

The attached graph shows 5 solutions in the domain of interest. These come from the fact that the relation we used is actually ...

  sin(x) = cos(90 +360k -x)  . . . . .  for any integer k

Then the above equation becomes ...

  90 +360k = 15z

  6 +24k = z . . . . . . . . . for any integer k

The sine and cosine functions also enjoy the relation ...

  sin(x) = cos(x -90)

  sin(9z -1) = cos(9z -1 -90) = cos(6z +1)

  3z = 92 . . . . . equating arguments of cos( ) and adding 91-6z

  z = 30 2/3

6 0
3 years ago
What is the unknown fraction? <br><br>6/10 + ____ = 62/100​
sergeinik [125]
The answer is 2/100 or 1/50!

6/10 is equivalent to 60/100.
62/100 - 60/100 = 2/100 = 1/50

So, 6/10 + 1/50 = 62/100
6/10 + 2/100 = 62/100

(Use 1/50 because that’s the simplified answer!)

I hope this made sense! Good luck!
4 0
2 years ago
Which graph represents the solution set of the compound inequality below? x + 3 &lt; (4x – 12) &lt; 20
nordsb [41]

x + 3 < 4x - 12                 or            4x - 12 < 20

<u>-x      </u>   <u> -x         </u>                              <u>     +12 </u>  <u>+12 </u>

     3 < 3x - 12                 or           4x        < 32

<u>    +12</u>   <u>     +12  </u>                            <u> ÷4        </u>   <u>÷4  </u>

    15 < 3x                       or              x        <  8

<u>    ÷3</u>    <u>÷3 </u>

    5 <  x

5 < x < 8

Graph:   5 o---------------o 8



6 0
3 years ago
Read 2 more answers
15,000,015,969+5,000,003
Nat2105 [25]
<h2>Answer:</h2><h2>15,005,015,972</h2><h2></h2><h2>Hope this helps!!</h2>
7 0
2 years ago
What is the degree measure of arc UTR
Paladinen [302]

Answer:

212°

Step-by-step explanation:

arc UTR = 180+32 = 212°

3 0
3 years ago
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