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icang [17]
3 years ago
5

Create diagrams to represent the possible cases for common tangents between two circles. Your diagram can be created using multi

media sources or drawn by hand. They should not be copied and pasted from a website. Explain why your diagrams satisfy the given criteria.
No Common Tangents


Diagram:








Justification:

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

I made mine from google drawings

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Integrate the following:<br><img src="https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Cint%20%5C%3A%20%20%5Ctan%28x%29%20%20%20%5
Korvikt [17]

Answer:

\huge \boxed{\red{ \boxed{  -  \cos(x)  + C}}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • integration
  • PEMDAS
<h3>tips and formulas:</h3>
  • \tan( \theta)  =  \dfrac{ \sin( \theta) }{ \cos( \theta) }
  • \sf \displaystyle \int  \sin(x)   \: dx =    - \cos(x)  +   C
<h3>let's solve:</h3>
  1. \sf \: rewrite \:  \tan( \theta)  \:  as \:   \dfrac{ \sin( \theta) }{ \cos( \theta) }  :  \\   =  \displaystyle  \int \:  \frac{ \sin(x) }{ \cos(x) }  \cos(x)  \: dx \\   = \displaystyle \int \:  \frac{ \sin(x) }{ \cancel{\cos(x) }}   \: \cancel{ \cos(x)}  \: dx \\     = \displaystyle \int \:  \sin(x)   \: dx
  2. \sf \: use \: the \: formula : \\   \sf \displaystyle     - \cos(x)
  3. \sf add \: constant :  \\   -  \cos(x)  + C

\text{And we are done!}

6 0
3 years ago
Read 2 more answers
twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only
Karolina [17]

donuts and cream puffs were  45 & 4 respectively !

<u>Step-by-step explanation:</u>

Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts   We need to find how many donuts and cream puffs were there . Let's find out:

Let number of donuts and cream puffs are x & y respectively ! So ,

  • twice the number of donuts was only 6 less than 24 times the number of cream puffs

According to this statement equation is :

⇒ 2x=24y-6

⇒ x=12y-3            ................(1)

  • 10 times the number of cream puffs was only 5 less than the number of donuts

According to this statement equation is :

⇒ 10y= x-5

⇒ x=10y+5               ................(2)

Equation (1) & (2) :

⇒ 12y-3=10y+5

⇒ 2y=8

⇒ y=4

Putting  y=4 in  x=12y-3  :

⇒ x = 12(4)-3

⇒ x = 45

Therefore , donuts and cream puffs were  45 & 4 respectively !

7 0
3 years ago
Without calculating the answer for 5 1/5 * 2/5 be larger or smaller than 5 1/5​
solniwko [45]

Answer:

Evidently, without the calculating 5 1/5 times 2/5 would be larger than 5 1/5 since you are already gonna multiply 2/5 and that would make it larger.

Hope this helps!

Branliest would be appreciated :DD

Step-by-step explanation:

4 0
3 years ago
Use cubes. Draw to show how you make ten. find the sum.
Mila [183]
If you're asking for the model for the second problem (I didn't see any unsolved), here it is!

7 0
3 years ago
One alloy is 2 parts iron to 3 parts silver and another alloy is 7 parts iron to 3 parts silver. How much of each should be comb
Shalnov [3]
Let x be your first alloy
2/5x+7/10(30-x)=1/2(30)
4x+210-7x=150
3x=60
x=20
So, you need 20 lbs of the first alloy, and 10 parts of the second to make 30 lbs of half iron and half silver alloy!
8 0
4 years ago
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