All categories

2 years ago

Convert the polar coordinates (3, -5 pi/3). to rectangular coordinates.

Mathematics

1 answer:

beks73 [17]2 years ago

6 0

Answer:

See below

Step-by-step explanation:

x = 3 cos (-5pi/3) = 1.5

y = 3 sin (-5pi/3) = 2.598

You might be interested in

What is the answer to this problem?

zepelin [54]

Answer:

Step-by-step explanation:

You subtract 180 from 56 then add your answer, 124 to 20, then subtract 144 from 180 to get 36

6 0

3 years ago

If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe

Natalka [10]

Answer:

They encircle the planet $3.76\times 10^{11}$ times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is $6.022\times 10^{23}$

Thus, the number of dust particles is:

$2.5\times 6.022\times 10^{23}=15.055\times 10^{23}$

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: $10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m$

If we line up the particles the distance they could cover is:

$15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}$

Circumference in meters:

$40,076km\times \frac{1000m}{1km}=40,076,000 m$

Therefore,

$\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}$

Hence, they encircle the planet $3.76\times 10^{11}$ times.

8 0

3 years ago

Please help with my algebra 1 homework <br><br> thank you

MrRissso [65]

1) Answer:

$\frac{4m^{10} }{9n^{18} }$

2) Answer:

$8m ^{5}$

The answer for first equation is, option B.

and the Answer for Second equation is option D.

6 0

3 years ago

Gail, Lucas, and Joel are playing a number game where they must draw a card with a number on it. Then they compare the numbers o

Verdich [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Daniel hosted a party in which 15 to 45 people could attend and he charged $7 per person for admission. What is the range of adm

irina [24]

Answer:

c. [105,315]

Step-by-step explanation:

6 0

4 years ago