Ask question

Ask question

All categories

3 years ago

10

A circular racing track is 3/4 mile long. Xavier races on this track, completing each lap in 3/20 of an hour. What is Xavier a r

acing speed?

1 answer:

sleet_krkn [62]3 years ago

5 0

v=d/t

3/4÷3/20 = 5m/hr

You might be interested in

Express the fifth roots of unity in standard form a + bi. with 1 + 0i

marishachu [46]

Answer:

For K=0

$cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0$

For K=1:

$cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510$

For K=2:

$cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587$

For K=3:

$cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587$

For K=4:

$cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510$

Step-by-step explanation:

Fifth Root is given by:

$\sqrt[5]{z}=1+0i$

The above equation will become:

$z=(1+0i)^5$

It can be written as:

$z=[cos(0)+isin(0)]^5$

|z|=1,

According to De-moivre's Theorem:

$z=cos(\frac{0}{5})+isin(\frac{0}{5})\\ z=cos(0)+isin(0)$

Now, Fifth Roots of unity in standard form a + bi :

$\sqrt[5]{z}=[{cos(0+2\pi k)+isin(0+2\pi k)}]^{1/5}$

k=0,1,2,3,4

For K=0

$cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0$

For K=1:

$cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510$

For K=2:

$cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587$

For K=3:

$cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587$

For K=4:

$cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510$

6 0

3 years ago

Kieth spent half of his allowance going to the movies. He washed the family car and earned nine dollars. What is his weekly allo

PIT_PIT [208]

Answer:

16$

Step-by-step explanation:

Take away 9 from 17 (17-9=8) and since he used half his allowance on a movie double 8 to get 16$

4 0

3 years ago

Mr hatch bout 4 round trip airplane tickets for $417 each. he also paid $50 in baggage fees. how much did mr hatch spend?

olga nikolaevna [1]

He spent $467 and you misspelt bought.

6 0

3 years ago

PLEASE HELP!! IM HAVING A HARD TIME UNDERSTANDING THIS QUESTION.

kondor19780726 [428]

Answer:

14.6

Step-by-step explanation:

8 0

3 years ago

What does y stand for in slope intercept form

Alenkinab [10]

The y coordinate for x,y

3 0

4 years ago

Read 2 more answers