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Angelina_Jolie [31]
3 years ago
11

Find the arc length. Round the answer to two decimal places.

Mathematics
1 answer:
bagirrra123 [75]3 years ago
7 0

Answer:

372.233

heart if it helped brain if im cool

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NO SCAM. PLEASE SHOW WORK. WILL GIVE BRAINLY TO CORRECT ANSWER.
sergeinik [125]

Answer:

140

Step-by-step explanation:

A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:

3a+b+3=2a+2b+6

Solving, we will get a in terms of b:

3a=2a+b+3,\\a=b+3

Now we can substitute a for (b+3) into our equation:

5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}

Therefore, the length of each side of this polygon is 5(4+3)-2(4)+1=28.

Since the perimeter of the polygon consists of all five sides, the perimeter is:

p=28\cdot 5 =\boxed{140}

6 0
3 years ago
Read 2 more answers
Write an equation of the line satisfying the given conditions. Through (2, -5), parallel to 5x 6y + 7
mojhsa [17]

We have to determine the equation of the line passing through the point (2,-5) and parallel to the line 5x = 6y+7

When two lines are parallel, then the slopes of the two lines are equal.

Equation of line with point (x_1, y_1) and slope 'm' is given by:

(y-y_1) = m(x-x_1)

Since, we have to determine the equation of a line with point (2,-5).

So, the equation of the line is : (y-(-5)) = m(x-2)

y+5 = m(x-2)

Since, the line is parallel to the line 5x = 6y+ 7

So, 6y +7 = 5x

6y = 5x - 7

y = \frac{5}{6}x - \frac{7}{6}

So, slope of the line  'm' is \frac{5}{6}.

Therefore, the equation of the line is:

(y+5) = \frac{5}{6}(x-2)

6y + 30 = 5x - 10

6y - 5x = -10-30

6y - 5x = -40

Therefore, 6y - 5x = -40 is the required equation of the line.

8 0
3 years ago
Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T″.
Delicious77 [7]

Answer: OPTION C.

Step-by-step explanation:

It is important to know the following:

<u> Dilation:</u>

  • Transformation in which the image has the same shape as the pre-image, but the size changes.
  • Dilation preserves betweenness of points.
  •  Angle measures do not change.

<u>Translation:</u>

  • Transformation in which the image is the same size and shape as the pre-image.
  • Translation preserves betweenness of points.
  • Angle measures do not change.

Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why  they are similar is:

<em>Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.</em>

6 0
3 years ago
Read 2 more answers
A triangle has angles that measure 46 and 84<br><br> what is the third angle?
pentagon [3]
The measure of the third angle is 50 because a triangle has a sum of 180 degrees by angle.

so... 46+84=130 and to get to 180, the last angle has to be worth 50.
5 0
3 years ago
Put the numbers in order from smallest to largest.
iren [92.7K]
3.1
3.6
4.2
4.5
4.9
5.0

Hope it helps
3 0
3 years ago
Read 2 more answers
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