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Reika [66]
3 years ago
10

What is the 5th term in the arithmetic sequence below? 27, 15, 3.-9,-....

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer: -21

Step-by-step explanation:

The numbers are subtracted by 12 each time

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4 0
3 years ago
Evelyn's made a cake in the shape of a circus tent the cake consisted of a cylinder and a cone .The height of the cone is half t
Lera25 [3.4K]
The volume of the cake is 1470 in³. 
volume of a cylinder = πr² x height
(Think about how a cylinder is basically a bunch of circles stacked on top of each other. To find the volume, first you need the area of the circle (πr², then you multiply by how many circles you are stacking on top of each other (height)) 

we know the diameter of the cylinder is 12 in. and the radius is half of the diameter. 
half of 12 is 6, therefore the radius is 6 in. or r = 6 
Assuming pi is 3.14, solve for the height of the cylinder
1470 = (3.14)(6²)(height)
1470 = 3.14 x 36 x height
1470 = 113.04 x height
height ≈ 13 in

Now that we know the height of the cylinder is about 13 in., we know the height of the cone, because the problem says that the height of the cone is half the height of the cylinder. 
half of 13 is 6.5, therefore the height of the cone is 6.5 
the radius of the cone is the same as that of the cylinder, 6 in. 

volume of a cone = πr² × (height ÷ 3)

volume of the cone = (3.14)(6²)(6.5 ÷ 3)
volume of the cone = (3.14)(36)(2.16666)
volume of the cone = 244.92 in³

Now all that's left to find the volume of the whole cake is to add the volume of the cylinder to the volume of the cone. 

1470 + 244.92 = 1714.92 in³



6 0
3 years ago
What is the value of x?​
pogonyaev

Answer:

1 is the value of x

Step-by-step explanation:

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

4 0
3 years ago
M + 9 = -12<br><br> what do you do first
Taya2010 [7]

Answer:

You subtract 9 from both sides

Step-by-step explanation:

You have to get the variable by itself to solve so you subract 9 by 9 and they cancel each other out. Then you do -12-9 and since they are both negative you get get -21

Them you have your answer m=-21, you can check this by plugging m inot the equation

7 0
3 years ago
Read 2 more answers
9x+2 (x-2) = 2 (3-x)​
Feliz [49]

Alternate Forms:

13 x = 10

13 x - 10 = 0

11 x - 4 = -2 (x - 3)

Expandend Form:

11 x - 4 = 6 - 2 x

Solution:

x = 10/13

8 0
3 years ago
Read 2 more answers
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