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3 years ago

What is the arc length of an angle of 2π 3 radians formed on the unit circle? A) π 3 B) 2π 3 C) 4π 3 D) 5π 3

2 answers:

5 0

We know that
in a unit circle the radius is 1
therefore
[Length of a circumference]=2*pi*r------> 2*pi

if 2pi radians in a circle unit has a length of ------------> 2*pi
2pi/3 radians----------------------------> X
X=2pi/3

the answer is 2pi/3

Anestetic [448]3 years ago

3 0

The correct answer is:

2π/3.

Explanation:

An angle formed on the unit circle would be a central angle.

The measure of an intercepted arc is the same as the measure of the central angle; since the angle is 2π/3, the arc length is 2π/3.

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Solve the system algebraically. Check your work.

Luden [163]

answer.

Answer:

x=2 and y=0 is the required result.

Step-by-step explanation:

We have been given system of equations:

5x+2y=105x+2y=10 (1)

And 3x+2y=63x+2y=6 (2)

We will use elimination method:

Multiply 1st equation by 3 and 2nd equation by 5 we get:

15x+6y=3015x+6y=30 (3)

15x+10y=3015x+10y=30 (4)

Now subtract (4) from (3) we get:

-4y=0−4y=0

y=0y=0

Now, put y=0 in (1) equation:

5x+2(0)=105x+2(0)=10

5x=105x=10

x=2x=2

Hence, x=2 and y=0

8 0

3 years ago

72÷6374 <img src="https://tex.z-dn.net/?f=72%20%5Cdiv%206374" id="TexFormula1" title="72 \div 6374" alt="72 \div 6374" align=

Ivan

72 divided by 6374 is equal to 0.0113

Hope it helps :)

6 0

3 years ago

Ed intends to roll a six-sided number cube 100 times. What probability model can he use to predict whether or not each roll will

Stells [14]

The answer is Each roll has a 0.333 probability of being composite.

(I just took the test, B was the answer)

8 0

3 years ago

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What is 18% of 900? (please answer quickly!)

Daniel [21]

162 is the answer. :)

5 0

3 years ago

Help!! Lots of points

murzikaleks [220]

$\frac{ {5}^{2} }{ {2}^{2} } = {( \frac{5}{2}) }^{2}$
Since they are both squared.

Evaluating 5^2 and 2^2 and finding the quotient also works.

$\frac{ {5}^{2} }{ {2}^{2} } = \frac{5 \times 5}{2 \times 2} = \frac{25}{4} = 6.25\\ \frac{ {5}^{2} }{ {2}^{2} } = {( \frac{5}{2} )}^{2} = 2.5 \times 2.5 = 6.25$
The third option, "Evaluate 5^2 and 2^2 ...," and the last option, "Rewrite the expression as (5/2)^2 ...," are the correct choices.

3 0

3 years ago

Read 2 more answers