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nexus9112 [7]
3 years ago
8

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

Mathematics
2 answers:
mars1129 [50]3 years ago
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
<span>The <u>correct answer</u> is:

2</span>π<span>/3.

Explanation<span>:

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 2</span></span>π<span><span>/3, the arc length is 2</span></span>π<span><span>/3.</span></span>
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What’s the expression
aev [14]

Answer: 5 + j/3

Step-by-step explanation:

Dividing the fare equally

Since they shared the j fare evenly among 3 people, you would divide the j fare by 3 to get j/3

So each person, including Angela, paid j/3 dollars before the tip

Adding the tip

Angela then added 5 dollars to this j/3 so the expression would become 5 + j/3

Final Answer

Angela paid $5 + j/3

5+\frac{j}{3}

7 0
3 years ago
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Find the missing sides using special right triangles
ANTONII [103]

Answer:

The answers are;

m = 9, e = 9

Step-by-step explanation:

The question relates to right triangles with special properties;

The given parameters of the given right triangles are;

The measure of an interior angle of the triangle = 45°

The length of the given leg length of the triangle = (9·√2)/2

The length of the other leg length of the triangle = n

The length of the hypotenuse side = m

A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal

Therefore;

The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2

∴ n = (9·√2)/2

n = (e·√f)/g

Therefore, by comparison, we have;

e = 9, f = 2, and g = 2

By Pythagoras's theorem, we have;

m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9

m = 9.

5 0
3 years ago
Answerr plsssssssssss
Serga [27]

Answer:B

Step-by-step explanation:

3 0
3 years ago
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PLEASE HELP!! WILL GIVE Points Using the known angle, what side is known? What side is unknown? Use opposite, adjacent, or hypot
ruslelena [56]

4.

known side: opposite (150m)

unknown sides: adjacent and hypotenuse

using Tan to find the distance from the tower's base to the key.

why do we use Tan to find the distance?

the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). we can see that the distance from the base of the tower to the key is the adjacent of the ∠α.

Tan α =  opposite / adjacent

=> Tan 72° = 150 / x

=> x = 150 / Tan 72°

=> x = 48.73795443 m = ~48.7m

5.

4.

known side: opposite (150m)

unknown sides: adjacent and hypotenuse

using Sin to find the distance that the ant travelled.

why do we use Sinn to find the distance?

the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). the ant travelled along the tower's body, which is the hypotenuse of the triangle, from the top until reaching the ground.

Sin α =  opposite / hypotenuse

=> Sin 72° = 150 / x

=> x = 150 / Sin 72°

=> x = 157.7193336 m = ~157.7m

6.

(using unrounded numbers to calculate because there is a small difference in results if using the rounded numbers)

c^2 = a^2 + b^2 (pythago)

157.7^2 = 150^2 + 48.7^2

24875.3882 = 24875.3882 (correct)

7 0
3 years ago
Giving brainlist for the correct answer
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Answer:

NO, YES, YES, NO

Step-by-step explanation:

Subsitute the number they give you and then solve. Finally, see if the equation is true.

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5 = 10 + 5 This equation is not true. (NO)

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