1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dolphi86 [110]
4 years ago
14

Two points in the xy plane have cartesian coordinates (2.00, 24.00) m and (23.00, 3.00) m. determine (a) the distance between th

ese points and (b) their polar coordinates
Mathematics
1 answer:
Natasha2012 [34]4 years ago
6 0
Part A:

The distance between two points can be calculated through the equation,
         d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)

Each of the point may take the 1st or the 2nd coordinates. Substituting the known values,
        d = sqrt ((23 - 2)² + (3 - 24)²)
        d = 21√2
        d = 29.7

Part B:
We get the angle between the lines generated from points and the origin. 

Angle 1: θ = tan⁻(3/23) = 7.43°
Angle 2: θ = tan⁻(24/2) = 85.24°

Subtracting the values,
Angle = 77.8°

Thus, the polar coordinate is (29.7, 77.8°). 

You might be interested in
Please help me pleaseeeeee
Fynjy0 [20]

Answer: c=35

D=90

E=55

Step-by-step explanation:

Since d is a right angle it is 90. Take 90 and subtract it from 180 to get 90.Set them equal to 90 so 3x+11+5x+15=90

Simplify

8x+26=90

8x=64

X=8

Now take x and plug it in for each equation

3(8)+11=35

5(8)+15=55

So measured of c is 35

Measure of e is 55

And d is 90

hope this helps

4 0
3 years ago
I have no idea what to do for this question somebody please help
Aleonysh [2.5K]

Answer:

405π

Step-by-step explanation:

Use the formula for Volume Of Cylinder (V=πr²h) where "V" represents the volume, "r" represents the radius, and "h" represents the height

<u>The volume and the radius are given. (V=45π, r=3)</u>

<u>1. Solve for height</u>

V=πr²h

45π=π3²h

45π/π=3²h

45=3²h

45=9h

45/9=h

h=5

<u>2. Plug the new radius (3*3=9) into this formula and solve for "V"</u>

V=π9²5

V=π81*5

V=405π

NEW VOLUME AFTER A TRIPLED RADIUS IS 405π

<u />

6 0
2 years ago
The table below shows how much Joe earns, y, after working x hours. Joe’s Earnings Hours worked Money earned 4 $30 10 $75 12 $90
lesya692 [45]

Answer:

Both slopes are equal

Step-by-step explanation:

The general form of a linear function is:

y = mx + c

where m is the slope and c is the y-intercept

We can, thus, note that the slope is constant across the linear function.

Since we are given that the relation between the salary and hours worked is linear, therefore, the slope will be equal between any two points belonging to the function

Verification:

slope can be calculated as follows:

slope =  \frac{ y_{2} -  y_{1}  }{ x_{2} -  x_{1} }

1- In case of (4,30) and (12,90):

slope = slope =  \frac{ 90 - 30 }{ 12 - 4 }  = 7.5

2- In case of (4,30) and (10,75):

slope =  \frac{ 75 - 30 }{ 10 - 4 }  = 7.5

Hope this helps :)

5 0
3 years ago
Read 2 more answers
ILL GIVE BRAINLIEST! PLEASE ANSWER IF YOU SEE THIS!!! David has a container filled with quarters and nickels. He has 29 coins wh
Slav-nsk [51]

Answer:

23 of the coins will be quarters

Step-by-step explanation:

6 0
3 years ago
A shoe keeper has 6 sodas that come in 4 different cups sizes. How many different drinks can you order?
vladimir1956 [14]

Answer: If he has 6 sodas and 4 different cup sizes, let us say Extra Large, Large, Medium and Small, he would have: COLA- 4 choices; ROOT BEER- 4 choices; ORANGE 4 choices; BLACK CHERRY- 4 choices; GIGERALE- 4 choices; CREAMSODA- 4 choices, or 6 x 4= 24 different choices

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is the lateral area of a prism which has a lateral edge of 4 inches and has a regular pentagonal base with an edge of 12 in
    8·1 answer
  • A watermelon seed is 0.4cm long. How far would a line of 122 watermelon seeds stretch
    15·1 answer
  • Mount Everest is over 2.9 × 10 4 feet tall. In standard form, that is
    6·1 answer
  • Which of the following is NOT an elementary row operation of a matrix?
    11·1 answer
  • What is the period of y=5cos(3x) - 4?
    14·1 answer
  • PLSSSSSSSSSSSSS HELP Im stupid and need help
    11·2 answers
  • What is the perimeter of the triangle
    6·1 answer
  • Hello! I was wornding if you can help me with this problem 5 + 2/3x = 1/2x -1/4​
    11·1 answer
  • Please help me :(
    13·1 answer
  • Y-intercept of 2x+5y= -20
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!