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pshichka [43]
3 years ago
14

15. Find all polar coordinates of point P where P= (1, -pi/6). (5 points)

Mathematics
1 answer:
emmainna [20.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

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Find the area of the polygon defined by the coordinates (0,-5),(-5,0),(-15,-20),and(-20,-15)
alekssr [168]

Area of the polygon defined by the given points is 62.5 sq units

Step-by-step explanation:

Step 1 :    

Let P be the point (-5,0)  Q = (0,-5), R = (-15,-20) and S = (20,-15)

We have to to find the area of the polygon PQRS

Step 2 :

The area of polygon given the vertices (x(x_{1} ,y_{1} ), (x_{2} ,y_{2})  ... (x_{n} ,y_{n} ) is given by

Area  = mod ( (x_{1} y_{2}  - y_{1}x_{2}) + (x_{2} y_{3}  - y_{2}x_{3}) + ... (x_{n} y_{1}  - y_{n}x_{1}) ) ÷ 2

Where  x_{n} is the vertex n's x coordinate , y_{n} is the vertex n's y coordinate

Substituting the corresponding values ,

Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75)  ) ÷ 2

                       = mod (25-75+0-75) ÷ 2

                       = mod (-125) ÷ 2 = 125 ÷ 2 = 62.5 sq units

Step 3 :    

Answer :

Area of the polygon defined by the given points is 62.5 sq units

4 0
3 years ago
You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per person.
enot [183]
The answer is 6 People. You make the two equations first 12.99x and 8.99x+20. And then make them equal each other 12.99x = 8.99x+20. Then you use algebra to solve for the x and you get an answer of 5. That is the number of people that would cause the two prices to break even (be the same price). So in order for the group rate to be the better deal you need 6 people to attend.
3 0
3 years ago
Read 2 more answers
5+ 3x - 37 = 6x + 23 - 8x what is the value for x
iris [78.8K]

Answer:

The value of X is 11

X=11

Step-by-step explanation:

Isolate the variable by dividing each side by the factors that don't contain the cariable.

4 0
2 years ago
1: A woman buys a car making a $3,000 down payment and then agrees to make 48 monthly payments of $360. What is the total cost o
katrin [286]

Answer:

1. $20280

2. 117 h

Step-by-step explanation:

1.

to know the value of the car we have to add all the monthly payments with the $ 3000 that she paid at the beginning

x =  car value

x = $3000 + 48 * $360

x = $3000 + $17280

x = $20280

The total cost of the car is $20280

2.

To know how many hours I work in total we have to add the hours I work in each day 5 times with the 57 hours I work the following week

x =  hours that work in all

x = 5 * 12 + 57

x = 60 + 57

x = 117

work for 117 hours in all

7 0
3 years ago
Read 2 more answers
Given that f (x)=2x+5 and g(x)=x-7 solve for f (g (x)) when x=-3
Alexeev081 [22]
2(-3-7)+5= <span>2(-10)+5= -20 + 5= -15

-15 is your final answer</span>
7 0
3 years ago
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