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3 years ago

Which dimensions cannot create a triangle?

1 answer:

4 0

Answer: thirst one can not create a triangle as all triangles are 180 degrees.
and also the fourth can not create a triangle as 8+4=12 and 14 is less than 12.
hope it helps!

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Russell collected 30 stones at his grand parents' house. He decided to give his little sister 1 / 5 of the stones. How many ston

STALIN [3.7K]

He gives his sister 6 stones

5 0

3 years ago

Click on the solution set graphic until the correct one is displayed.

PtichkaEL [24]

this pic is of empty set I guess bro

3 0

3 years ago

HELP ME ASAP

Komok [63]

Step-by-step explanation

5 0

3 years ago

(9y® + 2)2 =<br> combine like terms

Vsevolod [243]

Answer:

81y^2+36y+4

Step-by-step explanation:

First: 9y^2= 81y

Next: 2^2= 4

Then: 9y times 2= 18

Last: 18 times 2= 36y

(this : ^2 means squared in case you did not know)

4 0

4 years ago

4. Using the geometric sum formulas, evaluate each of the following sums and express your answer in Cartesian form.

nikitadnepr [17]

Answer:

$\sum_{n=0}^9cos(\frac{\pi n}{2})=1$

$\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=0$

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})=\frac{1}{2}$

Step-by-step explanation:

$\sum_{n=0}^9cos(\frac{\pi n}{2})=\frac{1}{2}(\sum_{n=0}^9 (e^{\frac{i\pi n}{2}}+ e^{\frac{i\pi n}{2}}))$

$=\frac{1}{2}(\frac{1-e^{\frac{10i\pi}{2}}}{1-e^{\frac{i\pi}{2}}}+\frac{1-e^{-\frac{10i\pi}{2}}}{1-e^{-\frac{i\pi}{2}}})$

$=\frac{1}{2}(\frac{1+1}{1-i}+\frac{1+1}{1+i})=1$

2nd

$\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=\frac{1-e^{\frac{i2\pi N}{N}}}{1-e^{\frac{i2\pi}{N}}}$

$=\frac{1-1}{1-e^{\frac{i2\pi}{N}}}=0$

3th

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})==\frac{1}{2}(\sum_{n=0}^\infty ((\frac{e^{\frac{i\pi n}{2}}}{2})^n+ (\frac{e^{-\frac{i\pi n}{2}}}{2})^n))$

$=\frac{1}{2}(\frac{1-0}{1-i}+\frac{1-0}{1+i})=\frac{1}{2}$

What we use?

We use that

$e^{i\pi n}=cos(\pi n)+i sin(\pi n)$

and

$\sum_{n=0}^k r^k=\frac{1-r^{k+1}}{1-r}$

6 0

3 years ago