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3 years ago

How many times does 8 go into 66

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

8 will go into 66 , 8.25 times

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locksmith larry charges $90 for a house cal plus $20 per hour. Locksmith Barry charges $50 for a house call plus $30 per house.

nadya68 [22]

Answer:

4 hours

Step-by-step explanation:

Equations :

Larry : y = 20x + 90

Barry : y = 30x + 50

Equate both to find the number of hours at which they both charge the same :

20x + 90 = 30x + 50
30x - 20x = 90 - 50
10x = 40
x = 4 hours

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2 years ago

Sarah wins the couch race by 32 centimeters. How many millimeters is 32 centimeters

olga nikolaevna [1]

Answer:

320

Step-by-step explanation:

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3 years ago

Maricell, the fruit juggler, bought 0.24 pounds of apples and 3.1 pounds of oranges. How many pounds of fruit did Maricell buy?

frosja888 [35]

The answer is 3.34 pounds also the estimate would be 3 pounds.

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2 years ago

An astronaut who weighed 150 pounds on Earth found that his weight on Jupiter was 400 pounds. He captured an alien that weighed

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The alien would be about 20 LBS on the earth

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3 years ago

Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360

Natasha2012 [34]

$\rightarrow z^4=-625\\\\\rightarrow z=(-625+0i)^{\frac{1}{4}}\\\\\rightarrow x+iy=(-625+0i)^{\frac{1}{4}}\\\\ x=r \cos A\\\\y=r \sin A\\\\r \cos A=-625\\\\ r \sin A=0\\\\x^2+y^2=625^{2}\\\\r^2=625^{2}\\\\|r|=625\\\\ \tan A=\frac{0}{-625}\\\\ \tan A=0\\\\ A=\pi\\\\\rightarrow z= [625(\cos (2k \pi+pi) +i \sin (2k\pi+ \pi)]^{\frac{1}{4}}\\\\k=0,1,2,3,4,....\\\\\rightarrow z=(625)^{\frac{1}{4}}[\cos \frac{(2k \pi+pi)}{4} +i \sin \frac{(2k\pi+ \pi)}{4}]$

$\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]$

Argument of Complex number

Z=x+iy , is given by

If, x>0, y>0, Angle lies in first Quadrant.

If, x<0, y>0, Angle lies in Second Quadrant.

If, x<0, y<0, Angle lies in third Quadrant.

If, x>0, y<0, Angle lies in fourth Quadrant.

We have to find those roots among four roots whose argument is between 270° and 360°.So, that root is

$\rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]$

5 0

2 years ago