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12345 [234]
3 years ago
13

Mr. Marcus is splitting a huge new pack of colored pencils equally among his 25 students. After splitting the pencils he has 4 l

eft. If there were 429 pencils to begin with, how many did each student receive? Give me the equation
Mathematics
1 answer:
mamaluj [8]3 years ago
3 0

Answer:

Each student got 17 pencils

Step-by-step explanation:

(429-5)/25=x

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Find the distance from the base of the ladder to the house.
True [87]

Answer:

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Step-by-step explanation:

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7 0
4 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

4 0
3 years ago
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ikadub [295]
The answer should be C: 12
6 0
3 years ago
Read 2 more answers
What is the surface area of the pyramid?
Valentin [98]
Depends on the base length height and base width. What are they then I can help
7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINIEST TO THE CORRECT ANSWER!
11Alexandr11 [23.1K]

Answer:

B. Multiplication

Step-by-step explanation:

1+3x+(x*4)

1+3x+4x

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4 0
3 years ago
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