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3 years ago

the parallelogram has area 216 Point 24 10 m squared and a height of 15.9 cm how long is the base of the parallelogram

Mathematics

1 answer:

kumpel [21]3 years ago

5 0

Do 1/2 times it self then there u go

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Can someone help solve for X

Morgarella [4.7K]

Answer:

x = 2sqrt(5)

Step-by-step explanation:

We can use the Pythagorean theorem to solve

The legs are x and 8/2 =4

and the hypotenuse is 6

a^2 + b^2 = c^2

x^2 +4^2 = 6^2

x^2 +16 = 36

Subtract 16 from each side

x^2 +16-16=36-16

x^2 = 20

Take the square root of each side

sqrt(x^2) = sqrt(20)

x = sqrt(4*5)

x = sqrt(4) sqrt(5)

x = 2sqrt(5)

5 0

2 years ago

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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

Need help with math problem give 5 stars and brain thingy point

Lyrx [107]

Answer:

d) 3/8

Step-by-step explanation:

0, 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 1

Hope this helps!

3 0

1 year ago

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If 12 less than 4 times a number is 8, the number is 5. What difference sentence where the unknown number is also 5?

Gnesinka [82]

Sent a picture of the solution to the problem (s).

8 0

3 years ago

2(4x - 12) + 3x = 6x + 1<br><br> help!! ahh

Anuta_ua [19.1K]

<span>2(4x - 12) + 3x = 6x + 1

Distribute.

8x - 24 + 3x = 6x + 1

Combine like terms.

11x - 24 = 6x + 1

5x = 25

x = 5

</span>

8 0

2 years ago

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