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Greeley [361]
3 years ago
8

Suppose an ant walks counterclockwise on the unit circle from the point to the endpoint of the radius that forms an angle of rad

ians with the positive horizontal axis. How far has the ant walked?
Mathematics
1 answer:
serg [7]3 years ago
6 0

Answer:

\frac{4\pi}{3}

Step-by-step explanation:

The original questions is suppose an ant walks counterclockwise on a unit circle from the point (1,0) to the endpoint of the radius that forms an angle of 240 degrees with the positive horizontal axis.

To find the distance ant walked we find the arc length of the sector with central angle 240 degree and radius =1 (unit circle)

arc length of a sector =\frac{centralangle}{360} \cdot 2\pi r

arc length of a sector =\frac{240}{360} \cdot 2\pi(1)

arc length of a sector =\frac{2}{3} \cdot 2\pi

\frac{4\pi}{3}

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What is equal to 4.2 kilometers
guapka [62]

Answer:

<h2>4,200 meters</h2><h3>How do you convert meters to kilometers formula?</h3><h3>Meters to Kilometers Conversion</h3>

1 Meter (m) is equal to 0.001 kilometer (km). To convert meters to km, multiply the meter value by 0.001 or divide by 1000. For example, to convert 100 m to km, multiply 100 by 0.001, that makes 0.1 km is 100m .

Step-by-step explanation:

Hope it is helpful.....

8 0
3 years ago
How to find the percentage that is not shaded on the grid?
Digiron [165]

Answer:

8%

Step-by-step explanation:

there are 100 cubes and 8 arent shaded

thats 8 out of 100

8/100 = .08 = 8%

3 0
3 years ago
Wave Corporation began the current year with a retained earnings balance of $25,000. During the year, the company corrected an e
Hitman42 [59]

Answer:

$30,000.

Step-by-step explanation:

Wave Corporation began the current year with a retained earnings balance of $25,000.

Depreciation expense was of $5000

During the current year, the company earned net income of $15,000

Also gave cash dividends of $5,000.

So, year end retained earnings will be :

Year end retained balance = total net income minus net losses and dividends.

25000-5000+15000-5000=30000 dollars

The answer is $30,000.

7 0
3 years ago
Given an exponential function for compounding interest, A(x) = P(.95)x, what is the rate of change?
statuscvo [17]

Answer:

Option 3

The rate of change is -5%                

Step-by-step explanation:

Given : An exponential function for compounding interest, A(x) = P(.95)^x

To find : What is the rate of change?

Solution :

The general form of an exponential function is:

f(x) = a(1+r)^x

Where, a is the initial amount,

(1+r) is the rate of change,

r is the growth or decay factor

We have given, A(x) = P(.95)^x

Rate of change is

1+r=0.95

r=0.95-1

r=-0.05

Convert to percent,

r=-0.05\times 100=-5\%

Therefore, Option 3 is correct.

4 0
3 years ago
Read 2 more answers
1. Kyle and John are twins who decided to plan an imaginary trip that started with cliff jumping. There were two different spots
Vikki [24]

Answer:

a) Δx = -35ft

b) Δx = -25ft

c) Kyle traveled 10ft more than John

Step-by-step explanation:

We define a coordinate reference system() in which y = 0 corresponds to the water surface.

a) The initial position of Kyle in our coordinate reference system is:

   x_{o} = 20 ft

   and his final position is:

   x_{f} = -15 ft

   Therefore, he traveled

   Δx = x_{f} - x_{o} = -15 - 20 = -35 ft

b) The initial position of John in our coordinate reference system is:

   x_{o} = 15 ft

   and his final position is:

   x_{f} = -10 ft

   Therefore, he traveled

   Δx = x_{f} - x_{o} = -10 - 15 = -25 ft

c) Then, Kyle traveled 10ft more than John

 

6 0
3 years ago
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