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2 years ago

Find a, b, and c.

Mathematics

1 answer:

Olin [163]2 years ago

7 0

Answer:

$C). \: a=6 \: square \: root \: 3, \: b=12 \: square \: root \: 3, \: c=6 \: square \: root \: 2 \\$

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Type the correct answer in each box. Use numerals instead of words.

brilliants [131]

Answer:

100 newtons, 20 newtons per second

Step-by-step explanation:

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2 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

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

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3 years ago

Maria studied the traffic trends in India. She found that the number of cars on the roads increases by 10% each year. If there w

laiz [17]

You would do

(1.1)(80,000,000)=88,000,000

That is the total cars for year two. To find the increase you would do

(1.1)(88,000,000)=96,800,000

Then you would subtract year 2 from year three

96,800,000-88,000,00=8,800,000

That gives you ur answer.

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2 years ago

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Mindy had five test last month. Her scores were 95,86,78,80 & 91 . What Is the range of her scores ?

Paladinen [302]

The range is 17 because the highest score (95) minus the lowest score (78) is 17

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2 years ago

The garden has 20 rows of crops and one half of the rows are planted with corn. How many rows are planted with corn?

max2010maxim [7]

20 x 1/2 = 10

There are 10 rows that are planted with corn.

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2 years ago

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