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AVprozaik [17]
3 years ago
9

Write -3r+3u in polar form PLEASE HELP

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0
We have that
<span> -3r+3u
</span>
Step 1
<span>Use the distance formula to find the radius
</span><span>r = √(x^2 + y^2)
 (x,y)----------> (</span>-3,3)
r= √(-3^2 + 3^2)=√18=3√2

Step 2
Use the tangent to find the angle  
θ = arctan(y/x)  
θ = arcTan(3/-3)= -45°-------> II Quadrant
then 
θ=180-45=135°

Step 3 
write in polar form
(x,y)------------> (r, θ)
so
(-3,3)----------> (3√2, 135°)

the answer is (3√2, 135°)
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PLEASE HELP!
IrinaVladis [17]

Answer:

Step-by-step explanation:

<h3>Sphere:</h3>

1) a) r =  7 cm

 \sf \boxed{\text{Volume of sphere=$\dfrac{4}{3}\pi r^3$}}

                             \sf =\dfrac{4}{3}*3.14*7*7*7\\\\= 1436 \ cm^3

 \sf \boxed{\text{\bf Surface area of sphere = $4\pi r^2$}}

                                           = 4*3.14 * 7 * 7

                                           = 615.44 cm²

b) r= 8.4 cm

     Volume = \dfrac{4}{3}\pi r^3

                  \sf =\dfrac{4}{3}*\dfrac{22}{7}*8.4*8.4*8.4\\\\= 2483.7 \ cm^3

   Surface area = 4*3.14*8.4*8.4

                         = 887.04 cm²

<h3>Hemisphere:</h3>

      a) r = 6 cm

     \sf \boxed{\text{\bf Volume of hemisphere =$\dfrac{2}{3} \pi r^3$}}

                                                \sf =\dfrac{2}{3}*3.14*6*6*6\\\\= 452.16 \ cm^3

        \sf \boxed{\text{\bf Surface area of hemisphere=3 \pi r^2}}\sf \boxed{\text{\bf Surface area of hemisphere = $3 \pi r^2$}}

                                                            = 3 * 3.14 * 6 * 6

                                                             = 339.12 cm²

                                                           

                       

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