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2 years ago

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

Mathematics

1 answer:

patriot [66]2 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.

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What line has slope of 5/8 and goes through the point (2,-3)

sweet-ann [11.9K]

Slope of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (2, -3) and m = 5/8.
Therefore equation of the line is y - (-3) = 5/8(x - 2)
8(y + 3) = 5x - 10
8y + 24 = 5x - 10
8y - 5x = -10 - 24 = -34
5x - 8y = 34

7 0

3 years ago

Guy's y'all plzz answer this who knows about it...and also exam is near

Yanka [14]

Answer:

Step-by-step explanation:

Okay so I will explain the first one.

2 to the power of 4 = 2x2x2x2

2 to the power of 6 = 2x2x2x2x2x2

2 to the power of 4 = 2x2x2x2

2^4 = 16

2^6 = 64

When you are multiplying powers you add.

When you subtract you takeaway.

So you would do

4+6+4

= 14

Meaning 2 to the power of 14

2 $x^{14}$

So what is 2 to the power of 14.

You would do

2x2x2x2x2x2x2x2x2x2x2x2x2x2

The answer is 16384

You can also use a calculator

GOOD LUCK FOR YOUR TEST!

7 0

3 years ago

What is 1 2/3 multiple 2/3

Flauer [41]

Answer:

$1\frac{1}{9}$

Step-by-step explanation:

Given the following question:

$1\frac{2}{3} \times\frac{2}{3}$

In order to multiply the two, we have to convert the mixed number into a improper fraction and then multiply the numerator by the numerator, the denominator by the denominator.

$1\frac{2}{3} =3\times1=3+2=\frac{5}{3}$
$\frac{5}{3} \times\frac{2}{3}$
$5\times2=10$
$3\times3=9$
$=\frac{10}{9}$

<u>Convert the improper fraction into a mixed number:</u>

$\frac{10}{9}$
$\frac{10}{9} =10\div9=1\frac{1}{9}$
$=1\frac{1}{9}$

Your answer is "1 1/9."

Hope this helps.