All categories

3 years ago

PLEASE HELP!!! find the length of arc LN. Round to the nearest hundredth. SHOW WORK....

Mathematics

1 answer:

patriot [66]3 years ago

6 0

9514 1404 393

Answer:

15.71 units

Step-by-step explanation:

The arc length is given by the formula ...

s = rθ

where r represents the radius, and θ represents the central angle in radians.

The angle of 60° is π/3 radians, so the arc length is ...

s = 15(π/3) = 5π ≈ 15.71 . . . units

LN ≈ 15.71 units

<em>Note</em>: if you use 3.14 for π, you will get 15.70.

You might be interested in

1/2(6 2/3+1/4)-5/24=

Helen [10]

For this case we must simplify the following expression:

$\frac {1} {2} (6 \frac {2} {3} + \frac {1} {4}) - \frac {5} {24} =$

We convert the mixed number to an improper fraction:

$6 \frac {2} {3} = \frac {3 * 6 + 2} {3} = \frac {20} {3}$

So, by rewriting we have:

$\frac {1} {2} (\frac {20} {3} + \frac {1} {4}) - \frac {5} {24} =\\\frac {1} {2} (\frac {4 * 20 + 3 * 1} {4 * 3}) - \frac {5} {24} =\\\frac {1} {2} (\frac {80 + 3} {12}) - \frac {5} {24} =\\\frac {1} {2} (\frac {83} {12}) - \frac {5} {24} =$

$\frac {83} {24} - \frac {5} {24} =\\\frac {83-5} {24} =\\\frac {78} {24} =\\\frac {39} {12} =\\\frac {13} {4} =\\3 \frac {1} {4}$

Answer:

$3 \frac {1} {4}$

5 0

3 years ago

John and Karen plan on building a garden in their new home. They plan on designing a rectangular garden with a perimeter of 70 f

valentinak56 [21]

Answer:

Length of the garden= 7 feet while the width =28 feet

Step-by-step explanation:

Let the length of the garden be L while the width represented as W

From the question, we deduce the following:

W = 4L

Perimeter = 2(L + W) = 70 feet .... substituting W = 4L into this equation gives

70 = 2(L + 4L)

70 = 2(5L)

70 = 10L ... dividing both sides by 10 gives

L = 7

Recall from the first equation that W = 4L

W = 4 * 7 =28

7 0

3 years ago

The total cost of four pens and seven mechanical pencils is $13.25. The cost of each pencil is .75 cents. Write an equation to f

Dovator [93]

X = pens and y = pencils

4x + 7y = 13.25
y = 0.75

4x + 7(0.75) = 13.25
4x + 5.25 = 13.25
4x = 13.25 - 5.25
4x = 8
x = 8/4
x = 2 <===so each pen cost 2 bucks

5 0

3 years ago

Subtract 11 from 111 in base two

crimeas [40]

Answer:

11-111=0b1100100

8 0

3 years ago

The state fair charges $14 for

Scrat [10]

Answer:

$s=6r+14$