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LiRa [457]
1 year ago
8

A circle has a radius if 20 centimeters and a central angle that measures 118 degrees. Find the length of the arc defined by thu

s central angle
Mathematics
1 answer:
babymother [125]1 year ago
4 0

\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =118 \end{cases}\implies \begin{array}{llll} s=\cfrac{(118)\pi (20)}{180}\implies s=\cfrac{118\pi }{9} \\\\\\ s\approx 41.19~cm \end{array}

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Let x = number of adult tickets sold
Let x-53 = number of student tickets sold

x + x -53 = 697
2x - 53 = 697. 

Add 53 to both sides to get:

2x = 750

Divide both sides by 2 to get:

x = 375

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5 0
3 years ago
Find the length of the third side to the nearest tenth.
Aliun [14]

Answer:

5.3

Step-by-step explanation:

You use the Pythagoras theorem which is a^2+b^2=c^2.

Since you're solving for a side length that's not the hypotenuse you will manipulate the equation to c^2-a^2=b^2. From here you just plug in numbers.

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8 0
3 years ago
WILL AWARD BRAINLIEST
MAVERICK [17]

Answer:

ΔABC ~ ΔDEC

Step-by-step explanation:

Given : DE║AB

              Statements                              Reasons

1). DE║AB                                              1). Given

2). ∠CDE ≅ ∠CAB                                2). Corresponding angles

                                                [Since DE║AB and AC is the transverse]

3). ∠CED ≅ ∠CBA                                3). Corresponding angles

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4). ΔABC ~ ΔDEC                                 4). By AA property of similarity    

Hence ΔABC is similar to ΔDEC.

6 0
3 years ago
Postulates can be used to prove theorems.<br><br> True<br><br> False
nikitadnepr [17]
<span>No, because postulates are assumptions. Some true, some not. So it can't be used to prove it</span>
8 0
3 years ago
15 points, no messing around, please do it right
cupoosta [38]

Answer:

416 is your answer!!!

Step-by-step explanation:

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8 0
2 years ago
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