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WITCHER [35]
2 years ago
12

What is the length of an arc with a central angle of 4/3π radians and a radius of 42 centimeters?

Mathematics
1 answer:
Montano1993 [528]2 years ago
7 0
First, we've got to convert radians to degrees.

blank degrees = 4π/3 * (180/π)
= 240

So, the arc we are measuring is 240 degrees.

Now let's find the length of the arc. 
The formula is θ/360 * 2πr

240/360 * 2 * (3.14) * 42

= 2/3 * 2 * 3.14 * 42

= 4/3 * 3.14 *42

= 12.56/3 *42

= 527.52/3

= 175. 84

The length of the arc is about 175.84 cm long.
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URGENT! Please help me with this question!!!!!
Artist 52 [7]

Answer:

\boxed{GJ = 76 \ degrees}

Step-by-step explanation:

According to Angles of intersecting chords theorem:

∠GAJ = \frac{1}{2} (BD+GJ)

Where ∠GAJ = 50 , BD = 24 and GJ = ?

50 = \frac{1}{2} (24+GJ)

Multiplying both sides by 2

100 = 24 + GJ

GJ = 100-24

GJ = 76 degrees

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3 years ago
What are the three types of triangles, based on ANGLES?<br> Draw an example for each one.
artcher [175]

Answer:

Right Triangle, Acute Triangle, and Obtuse Triangle

Step-by-step explanation:

I can't draw it here but the right triangle has a side of 90°.

An acute triangle has a side smaller than 90°.

An obtuse triangle has a side bigger than 90°.

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2 years ago
Find the solution of the system of equations.<br> -5x+3y=3<br> -4x+3y=3
allochka39001 [22]

Answer:

your answer is (0,1)

Step-by-step explanation:

3 0
2 years ago
If one real number is equal to a second real number, and the second real number is equal to a third real number, then the first
svet-max [94.6K]

Answer: In particular, let’s focus our attention on the behavior of each graph at and around . 2 and x= -1 for x < 2. There are open circles at both endpoints (2, 1) and (-2, 1). The third is h (x) = 1 / (x-2)^2, in which the function curves asymptotically towards y=0 and x=2 in quadrants one and two."

Step-by-step explanation: I think this is the problem ur on

8 0
2 years ago
Eloise made a list of some multiples of 8/5 write 5 fractions that can be in Eloise list
alexgriva [62]
This question is asking for a list of fractions, that when you pull out common factors, they will all simplify back to the 8/5 fraction.

So if 2 is the common factor, you multiply the numerator and denominator by 2.

2: (8*2)/(5*2)= 16/10

3: (8*3)/5*3)= 24/15

4: (8*4)/(5*4)= 32/20

5: (8*5)/(5*5)= 40/25

10: (8*10)/5*10)= 80/50

Eloise's Potential List:
16/10, 24/15, 32/20, 40/25, 80/50

If you simplify any of these fractions above, you will get 8/5 again.

To work backwards:
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16/10: 2 goes into 16, 2 goes into 10= 8/5

Hope this helps! :)
4 0
3 years ago
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