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777dan777 [17]
3 years ago
8

A wheel has 11 spokes evenly distributed around the rim of the wheel. What is the measure, in radians, of the central angle form

ed by adjacent pairs of spokes?
Mathematics
2 answers:
Andrews [41]3 years ago
6 0
2(pi) divided by 11 would be your answer Gmmarle.
jok3333 [9.3K]3 years ago
4 0

Answer:

The angle between adjacent pairs of spokes is 2π/11 radian or 0.57 radian

Step-by-step explanation:

Consider the provided information.

Angle around the center is 360

360 is divided into 11 spokes, because

And with 11 spokes total number of angles would be 11.  wheel has 11 spokes evenly distributed around the rim of the wheel.

As we know:

360^\circ =2\pi\ radian=6.283 radian

Since, the spokes are evenly distributed, the angle between any 2 spokes is:

\frac{360^\circ}{11} =\frac{2\pi\ radian}{11}\approx0.57 radian

Hence, the angle between adjacent pairs of spokes is 2π/11 radian or 0.57 radian

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The angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum o
Airida [17]

Step-by-step explanation:

It is given that the angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum of 540.

<u>Let me define the each terms.</u>

1. We know that each angle in a triangle is 60°, So there is a three angle in a regular triangle.

  • 60° + 60° + 60°
  • 180°

2. We know that each angle in a rectangle, is 90°, So there is a four angle in a regular rectangle.

  • 90° + 90°+90°+90°
  • 360°

Similarly,

  • There is 8 angle in a regular octagon and each angle measurement is 135°.

So, sum of the angles of an octagon = 135° × 8

Sum of the angles of an octagon = 1080°

Therefore, the required sum of the angles of an octagon is 1080°

6 0
3 years ago
What is the range of this data?<br><br> {3, 3, 0, 8, 7, 10, 2, 6, 12, 0}
S_A_V [24]
12-0=12 that is the answer

4 0
2 years ago
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What is this? I need help because I’m very bad at linear functions as you can see
Mademuasel [1]
N has to be negative.
5 0
3 years ago
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Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.
Sav [38]

<u><em>Answer:</em></u>

<u><em /></u>-9(\frac{2}{3}x) + 9(1)\\  \\-6x + 9

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following rules:</u>

<u>1- Distribution property:</u>

<u />a(b+c) = ab+ac

<u>2- Simplification of fractions:</u>

<u />\frac{xy}{yz}=\frac{x}{z}

<u>3- Signs in multiplication:</u>

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

<u>Now, for the given problem, we have:</u>

<u></u>9 (\frac{2}{3}x + 1)

<u>Starting with the distributive property:</u>

<u />-9 (\frac{2}{3}x +1) =  -9(\frac{2}{3}x) - (-9)(1) = -9(\frac{2}{3}x) + 9(1)

..................>This corresponds to option 1

<u>Now, we simplify the output from the above step:</u>

<u />-9(\frac{2}{3}x) + 9 = \frac{-9*2}{3}x + 9 = -6x+9

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Hope this helps :)

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3 years ago
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Analyze the diagram below and complete the instructions to follow.<br><br> Find a, b and c
Feliz [49]

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find b:

Reference angle = 45

opposite = 8

Hypotenuse = b

Thus,

Sin(45) = 8/b

b = 8/sin(45)

b = 8/(1/√2) (sin 45 = 1/√2)

b = 8 × √2/1

b = 8√2

✔️Find a using trigonometric ratio:

Reference angle = 60°

Hypotenuse = b = 8√2

Adjacent = a

Therefore,

Cos(60) = a/8√2

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8√2*½ = a

4√2 = a

a = 4√2

✔️Find c using Pythagorean Theorem:

c² = b² - a²

c² = (8√2)² - (4√2)²

c² = 128 - 32

c² = 96

c = √96

c = √(16*6)

c = 4√6

5 0
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