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dedylja [7]
2 years ago
7

A plane flies x mph. How far can it go in y hours? Which expression represents this?

Mathematics
1 answer:
natali 33 [55]2 years ago
3 0

Answer:

xy miles

Step-by-step explanation:

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If you roll six sided dice what are the odds of rolling doubles
Ludmilka [50]

Answer: 16.7%

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.

Second Answer : 6/36

Out of the 6^2 = 36 outcomes, there is only 6 that are doubles (double 1,double 2,… double 6). Therefore the probability is 6/36 i 1/6.

5 0
3 years ago
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
If Rachel were to paint her living room alone, it would take 2 hours. Her sister Fran could do the job in 5 hours. How many hour
snow_tiger [21]

Rachel and her sister Fran together can paint the living room in \frac{10}{7} hours

Given that

Rachel can paint half of the living room in 1 hour

Fran can paint \frac{1}{5}th part of the living room in 1 hour

Let's assume together they paint the living room in x hours

⇒ together they can paint \frac{1}{x}th part of the living room in 1 hour

By proportions,

⇒\frac{1}{2}+\frac{1}{5}= \frac{1}{x} {using operation proportions and addition}

⇒\frac{7}{10}=\frac{1}{x}

⇒x=\frac{10}{7}        

⇒ together they can paint \frac{7}{10}th part of the living room in 1 hour

It means, Rachel and her sister Fran together can paint the living room in \frac{10}{7} hours

Learn more about paint here:

brainly.com/question/15277377

#SPJ9

6 0
1 year ago
Which letter on the diagram below represents the name of the circle?
Alik [6]

Answer:  (b) A

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

A: the center of the circle

B: the diameter of the circle

C: the radius of the circle

D: <em>not sure, could be the perimeter</em>

<em />

Circles are named by their center, so this is named "Circle A".

6 0
3 years ago
Read 2 more answers
Liam is single. He has no children and an adjusted income of $26,700. Last year, his employer held $172 from each monthly payche
Alborosie

Answer:

option B is the correct answer

Step-by-step explanation:

please make me as a brainlist answer

6 0
2 years ago
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