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Lena [83]
3 years ago
15

What is the surface area of the cone a. 460 in^2 b. 390 in^2 c. 425 in^2 d. 360 in^2

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0

Answer:

Surface area of the cone = 360π in²

Step-by-step explanation:

Formula for the surface area of a cone is,

Surface area = πr(r + l)

Here 'r' = radius of the circular base of the cone

l = Lateral height of the cone

Now we substitute the values in the formula from the figure attached,

Surface area = π(10)(10 + 26)

                     = 360π in²

Therefore, surface area of the cone will be 360π in².

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3 years ago
9x+2y-27z=-155 -11x-y+37z=208 19x+6y-52z=-304
Paladinen [302]

Answer:

(x,y,z)=( -2, -1 ,5)

Step-by-step explanation:

9x+2y-27z=-155                                                        (1)

-11x-y+37z=208                                                        (2)

19x+6y-52z=-304                                                     (3)

(1) *3   ;(2) *6     ;(3)*1, you have

27x+6y-81z=-465                                                      (1)

-66x-6y+222z=1248                                                 (2)

19z+6y-52z=-304                                                      (3)


(1) +(2), you have

-39x+141z= 783                                                       (4)

(4) /3, you have

-13x +47z=261                                                          (4)


(2) +(3), you have

-47x+170z=944                                                       (5)


From ( 4) and (5), you have equations

-13x +47z=261                                                         (4)

 -47x+170z=944                                                       (5)


(4)*(-47);    (5)*13,  you have

611x-2209z=-12,267                                              (4)

-611x+2210z=12,272                                              (5)


(4)+(5), you have

z=5

Replace z=5 in (4), you have

611x- 2209*5=-12,267

611x- 11,045 =-12,267

611x=-1222

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Replace x=-2, z=5 in (1) , you have

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3 years ago
What is the solution to this system of linear equations? 12q + 3r = 15 –4q – 4r = –44 (–18, 29) (–2, 13) (8, –1) (15, –44)
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12q +3r =15    
3(4q +r) = 3*5  
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Time for the second one:
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Divide both sides by -4
 q +r = 11
4q +r = 5
 q +r = 11
Subtract the second from first equation 
3q 0 = -6
3q = -6
q = -6/3 = -2
q = -2
q +r = 11
-2 +r =11
r = 11 +2 
r = 13 
q = -2
r = 13
Your answer is...
(-2,13)
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3 years ago
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Answer:

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