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pishuonlain [190]
3 years ago
11

A piece of rope 20 feet long is cut from a longer piece that is at least 32 feet long. The remainder is cut into four pieces of

equal length. Describe the length of each of the four pieces
Mathematics
2 answers:
algol133 years ago
5 0

Answer:

smaller pieces must be larger than 3 feet

Step-by-step explanation:

x is the longer piece

x>32

x-20>12

12/4=3

smaller pieces resembled as y

y>3

harkovskaia [24]3 years ago
3 0

Answer:

each piece is four feet

Step-by-step explanation:

32-20=12

12/4=4

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The 4th equation is the answer
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Anit [1.1K]
He earns 23 000 000 per 80 games for 48min
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If he played 2/3 of the time he played 32min which means he earned...

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But I dont think this really matters here you just have to multiply 24453.125 with 60

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5 0
3 years ago
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Mario invested $5100 at 13%
cestrela7 [59]

Answer:

Amount = $6614 and 19 cent

Step-by-step explanation:

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r= 0.13

P= 5100

A= p(1+r/n)^(nt)

A= 5100(1+0.13/730)^(730*2)

A= 5100(1+1.78082*10^-4)^(1460)

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6 0
3 years ago
Rewrite the Cartesian equation y=-3 as a polar equation.
andreev551 [17]

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ

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3 years ago
Use the working backward method to find the solution of the equation.
Dahasolnce [82]

Answer:

y=2

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