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
Marta_Voda [28]
3 years ago
10

Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.

Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0

Answer:

D

Step-by-step explanation:

4=r cos \theta\\-4=r sin \theta\\square ~and~add\\16+16=r^2(cos^2 \theta+sin^2\theta)\\r^2=32\\ r=4\sqrt{2} \\divide \\tan \theta=-1\\as x is positive ,y is negative ,so \theta lies in 4th quadrant.\\tan \theta=-1=-tan 45=tan(360-45)=tan 315\\\theta=315°\\\\co-ordinates~ are~(r,theta) ~or~(-r,\theta+ -180°)\\hence ~co-ordinates~are(4\sqrt{2} ,315°),(-4\sqrt{2} ,135°)

You might be interested in
Find the value of x and y is (3x_6) (12,y-1)​
Alika [10]

Answer:

x=4

y=7

Step-by-step explanation:

12=3x

x=4

6=y-1

y=6+1

y=7

8 0
3 years ago
Read 2 more answers
Apartment A has a security deposit of $1000 and cost $1200 each month. Apartment B has a $1500 security deposit and cost $1175 e
Rom4ik [11]
1000 + 1200m = 1500 + 1175m
1200m - 1175m = 1500 - 1000
25m = 500
m = 500/25
m = 20 <== they are the same at 20 months...they will both be 25,000
7 0
3 years ago
tina drove 60 miles per hour to tucson. write a function rule that relates the number of miles traveled to the total of the hour
just olya [345]
A function rule would be y = 60x. Y represents the number of miles traveled, and X represents the number of hours. For example, if Tina drove for three hours, it would be 60×3 which is 180 miles.
5 0
3 years ago
How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

7 0
2 years ago
Will mark brainliest plz help!
Elan Coil [88]

Answer:

56

Step-by-step explanation:

hope it helps

4 0
3 years ago
Other questions:
  • A woman bought some large frames for $15 each and some small frames $5 each at a close out sale. If she bought 23 frames for $19
    15·1 answer
  • the length of the rectangular garden is three feet less than twice its width. if the perimeter is 42 feet, what is its length?
    10·1 answer
  • 2x + y = 11...(1)
    11·2 answers
  • Greg needs at least $1.60 in stamps to mail a package. He has 28 cents and 4 cent stamps. He can use no more than twenty 4 cent
    5·1 answer
  • Write the equation of a line that is parallel to y= 3x-2 and that passes through (9,-5).
    12·1 answer
  • Triangle can be formed with angle measures of 32 degrees, 126 degrees, and 32 degrees
    8·1 answer
  • Would u rather earn a million dollars or get a penny doubled each day for one month 30 days? Explain
    14·1 answer
  • Given the function f(x) = -5|x+ 1|+3, for what values of x is f(x) = -12?
    13·1 answer
  • Anna has made 30 chocolate chip cookies and 54 sugar cookies. She wants to put them in bags for her friends with the same number
    8·1 answer
  • Solve for b <br> ցb – m = 9
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!