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Nina [5.8K]
2 years ago
7

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

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the length of a soccer pitch is 20 m less than twice its width. the area of the pitch is 6000m^2. find its dimensions.
Setler79 [48]
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:

x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60

x=60
2x-20=2(60)-20=120-20=100

Solution: the length is 100 m, and the width is 60 m.

To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.


8 0
3 years ago
If 8^{y}=18^{y+2} what is the value of y?
Nina [5.8K]

Answer:

-8

Step-by-step explanation:

both 8^-8 and 16^-8+2 equal 5.9605

8 0
2 years ago
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A <span>separable differential equation</span> is a first-order differential equation in which the expression for dy/dx can be factored as a function of x times a function of y,
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Rom4ik [11]
If the denominator of this fraction was 80, the numerator would have to be 44
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