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garri49 [273]
3 years ago
10

N a circle with a radius of 2.8 cm, an arc is intercepted by a central angle of π5 radians. what is the arc length? use 3.14 for

π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box.
Mathematics
2 answers:
Vilka [71]3 years ago
8 0
By definition, the arc length is given by:
 arc = (theta) * (R)
 Where,
 theta: central angle
 R: radius
 Substituting values we have:
 arc = (π / 5) * (2.8)
 Rewriting we have:
 arc = ((3.14) / 5) * (2.8)
 arc = 1.7584 cm
 Round to the hundredth:
 arc = 1.76 cm
 Answer:
 
the arc length is:
 
arc = 1.76 cm
kogti [31]3 years ago
8 0

Answer:

1.76 is your answer

i just took the test :) have a blessed day <3

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The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions
stira [4]

Answer:

<h3>Length = 12 ft</h3>

Width = \frac{7}{2} ft

Step-by-step explanation:

Given,

Area of rectangle = 42 \:  {ft}^{2}

Width = X

Length = 2x + 5

Now,

x(2x + 5) = 42

2 {x}^{2}  + 5x   = 42

2 {x}^{2}  + 5x - 42 = 0

2 {x}^{2}  + 12x - 7x - 42 = 0

2x(x + 6) - 7(x + 6) = 0

(2x  - 7)(x + 6) = 0

Either

2x - 7 = 0

2x = 0 + 7

2x = 7

x =  \frac{7}{2}

Or,

x + 6 = 0

x = 0 - 6

x =  - 6

Negative value can't be taken.

So, width = \frac{7}{2} ft

Again,

Finding the value of length,

Length = 2x + 5

2 \times  \frac{7}{2}  + 5

7 + 5

12

Length = 12 ft

7 0
3 years ago
Read 2 more answers
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