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poizon [28]
3 years ago
7

Write the equation for an ellipse with the center at the origin, a vertical major axis of length 30, and a horizontal minor axis

of length 16.

Mathematics
2 answers:
velikii [3]3 years ago
7 0

Answer:

C

Step-by-step explanation:

hope that helps

goldfiish [28.3K]3 years ago
5 0

Answer:

B

Step-by-step explanation:

a = 30    b = 16

x²/b² + y²/a² = 1

x²/16² + y²/30² = 1

x²/256 + y²/900 = 1

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A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base
timurjin [86]

Answer:

Step-by-step explanation:

Equation for a hyperboloid of one sheet, with center at the origen and axis along z-axis is:

(x/a)²  +  (y/b)²   -  (z/c)²  =  1                         (1)

We have to find a , b, and c

We can express equation (1)

(x/a)²  +  (y/b)²    =  (z/c)² + 1                 (2)

Now if we cut the hyperboloid with planes parallel to xy plane we get for  z = k       ( K = 1 , 2 , 3  and so on ) circles of different radius

(x/a)²  +  (y/b)²    =  (k/c)² + 1

at z = k = 0 at the base of the hyperboloid  d = 300   or r = 150 m

we have

(x/a)²  +  (y/b)²   = 1      

x²  +  y²   =   a²                a² = (150)²       a = b = 150

and    x²  +  y²  = (150)²

Now the other condition is at 200 m above the base d = 500 m   r = 250 m  minimum diameter then in equation (2)  we have:

(x/a)²  +  (y/b)²    =  (z/c)² + 1        

(1/a)² [ x² + y² ]  = (z/c)² + 1  

but   x²  +  y²  = r²    and in this case   r  =  250 m  then

(250)²/(150)²   =  (z/c)² + 1    ⇒ (62500/ 22500)  =  (200/c)² + 1

2,78  =  40000/c² + 1

2.78c²  =  40000  + c²

1.78c² = 40000

c²  =  40000/1.78

c²  = 22471.91

c = 149,91

Then we finally have the equation:

x²/(150)²   + y² /(150)² - z²/149,91  = 1

7 0
3 years ago
The radius of a circle is 6 cm. What is its diameter?
Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

d=2r=2, 6 =12

diameter=12

5 0
3 years ago
What is the length of segment BX?
shtirl [24]

Answer:

5

Step-by-step explanation:

..................................................

6 0
2 years ago
Kermit's favorite iced tea is made with 15 tea bag in every 2 liters of water. Peggy made a 12 liter batch of iced tea with 90 t
podryga [215]

Answer:

For each liter of water there need = 15/2 = 7.5 tea bags. Peggy need to make 12 liters of iced tea. = 90 tea bags.

Step-by-step explanation:

7 0
3 years ago
Help need to finish today
Likurg_2 [28]

-4, 1  = A

3, 5 = D

2, 0 = F

1, -4 = G

0, -2 = H

8 0
3 years ago
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