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Nadusha1986 [10]

3 years ago

13

jessie has a peice of wood that is 8 feet long he needs to cut pieces that are 7/8 of a foot long how many pieces will he be abl

e to make

1 answer:

attashe74 [19]3 years ago

3 0

Answer: 9 pieces

Explanation: Divide 8 by 7/8 to find the number of cut pieces and you'll get 9.

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350+(2*350)+400=1450

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3 years ago

Read 2 more answers

Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))

BartSMP [9]

By using <span>De Moivre's theorem:
</span>
If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴ $\sqrt[n]{z} = \sqrt[n]{a} \ (cos \ \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )$
k= 0, 1 , 2, ..... , (n-1)

For The given complex number <span>⇒ z = 81(cos(3π/8) + i sin(3π/8))
</span>

Part (A) <span>find the modulus for all of the fourth roots
</span>
<span>∴ The modulus of the given complex number = l z l = 81
</span>
∴ The modulus of the fourth root = $\sqrt[4]{z} = \sqrt[4]{81} = 3$

Part (b) find the angle for each of the four roots

The angle of the given complex number = $\frac{3 \pi}{8}$
There is four roots and the angle between each root = $\frac{2 \pi}{4} = \frac{\pi}{2}$
The angle of the first root = $\frac{ \frac{3 \pi}{8} }{4} = \frac{3 \pi}{32}$
The angle of the second root = $\frac{3\pi}{32} + \frac{\pi}{2} = \frac{19\pi}{32}$
The angle of the third root = $\frac{19\pi}{32} + \frac{\pi}{2} = \frac{35\pi}{32}$
The angle of the fourth root = $\frac{35\pi}{32} + \frac{\pi}{2} = \frac{51\pi}{32}$

Part (C): find all of the fourth roots of this

The first root = $z_{1} = 3 ( cos \ \frac{3\pi}{32} + i \ sin \ \frac{3\pi}{32})$
The second root = $z_{2} = 3 ( cos \ \frac{19\pi}{32} + i \ sin \ \frac{19\pi}{32})$

The third root = $z_{3} = 3 ( cos \ \frac{35\pi}{32} + i \ sin \ \frac{35\pi}{32})$
The fourth root = $z_{4} = 3 ( cos \ \frac{51\pi}{32} + i \ sin \ \frac{51\pi}{32})$

7 0

3 years ago

Using partial products the products are 21 and 28 true or false

Allisa [31]

21 times 28 is 588 which is false

4 0

3 years ago

Graph the linear equation find three points that solve the equation then plot on the graph 2y=-x+2

balu736 [363]

I guess this is the line
$\binom{0}{2} \binom{2}{3} \binom{4}{4}$

7 0

3 years ago

Write 3 tens 9 ones in another way

Vsevolod [243]

3 tens is 3 * 10 = 30
9 ones is 9 * 1 = 9
30 + 9 = 39
Answer: 39

5 0

3 years ago