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makkiz [27]
3 years ago
10

If the unicorn seat on a merry–go–round is 5 feet from the center, and the merry–go–round completes a full rotation in 6 seconds

, how many feet does the unicorn travel in one second?
Mathematics
2 answers:
Cerrena [4.2K]3 years ago
6 0
The answer is 5.23 ft/second

The way I got this answer was first finding the circumference of the merry-go-round using the equation C=2 \pi r, where r represents the radius, which is the distance from the center of a circle. 

So your equation should look like this C=2 \pi(5). I used the rounded term of 3.14 for \pi

Once you multiply those terms, you should get the answer, 31.4. Now this is the total distance around the merry-go-round in feet. So, if it takes 6 seconds to make a full rotation and we are trying to find the amount offeet traveled in one second, we should divide the circumference (31.4) by 6 to give us our answer.

So, 31.4÷6=5.2333...ft/second 

And I rounded the answer to the nearest hundredth to get 5.23 feet/second
noname [10]3 years ago
5 0

The correct answer is

5.23

:)

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Drag each function to the correct location on the chart. Classify the functions as continuous and discontinuous functions. If a
Ilia_Sergeevich [38]

Answer:

Continuous: g(x) and j(x)

Removable: h(x) and m(x)

Infinite: f(x) and i(x) and k(x)

Jump: l(x)

Step-by-step explanation:

5 0
3 years ago
-2x + 8 = 18 please help. What does x equal
kakasveta [241]

Answer:

x = -5

Step-by-step explanation:

Step 1: Write equation

-2x + 8 = 18

Step 2: Solve for <em>x</em>

  1. Subtract 8 on both sides: -2x = 10
  2. Divide both sides by -2: x = -5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-2(-5) + 8 = 18

10 + 8 = 18

18 = 18

6 0
3 years ago
Read 2 more answers
How do u do b??????????
horrorfan [7]

the assumption being that the first machine is the one on the left-hand-side and the second is the one on the right-hand-side.

the input goes to the 1st machine and the output of that goes to the 2nd machine.

a)

if she uses and input of 6 on the 2nd one, the result will be 6² - 6  = 30, if we feed that to the 1st one the result will be √( 30 - 5) = √25 = 5, so, simply having the machines swap places will work to get a final output of 5.

b)

clearly we can never get an output  of -5 from a square root, however we can from the quadratic one, the 2nd machine/equation.

let's check something, we need a -5 on the 2nd, so

\bf \underset{final~out put}{\stackrel{y}{-5}}=x^2-6\implies 1=x^2\implies \sqrt{1}=x\implies 1=x

so if we use a "1" as the output on the first machine, we should be able to find out what input we need, let's do that.

\bf \underset{first~out put}{\stackrel{y}{1}}=\sqrt{x-5}\implies 1^2=x-5\implies 1=x-5\implies 6=x

so if we use an input of 6 on the first machine, we should be able to get a -5 as final output from the 2nd machine.

\bf \stackrel{first~machine}{y=\sqrt{\boxed{6}-5}}\implies y=\sqrt{1}\implies y=1 \\\\\\ \stackrel{second~machine}{y = \boxed{1}^2-6}\implies y = 1-6\implies y = -5

5 0
3 years ago
Find the intercept of the line -2x+5y=7
jeka57 [31]
Y intercept = 7/-2 or -3.5
5 0
3 years ago
What numbers lie between 42 square root
salantis [7]

Answer:

√ 42  lies between  6  and  7

Step-by-step explanation:

We know that  √ 42  will lie between  √ 36  and  √ 49

And  √ 36 = 6  ;  √ 49 = 7

Hence we can be sure that  √ 42  lies between 6  and  7

3 0
3 years ago
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