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Bogdan [553]
3 years ago
12

Find the least common multiple of 2, 8 and 20.

Mathematics
2 answers:
Liula [17]3 years ago
8 0

Answer:

40

Step-by-step explanation:

charle [14.2K]3 years ago
7 0

Answer:

40

Step-by-step explanation:

squeee

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Three water storage containers have the same volume in the shape of a cylinder, a cone, and a sphere. The base radius of the cyl
fredd [130]

Answer:

- The ratio of the height of the cone to the height of the cylinder is 3:1

- The ratio of the height of the cone to radius of the sphere is 4:1

Step-by-step explanation:

Note that the radii of all the structures are the same.

Let the height of the cone be H and the height of the cylinder be h

The volume of each of the shapes are given below as

Volume of cylinder = πr²h

Volume of a cone = (1/3)πr²H

Volume of a sphere = (4/3)πr³

1) The ratio of the height of the cone to the height of the cylinder

To obtain this, we equate the volume of those two structures

Volume of the cone = Volume of the cylinder

(1/3)πr²H = πr²h

πr² cancels out on both sides and we're left with

(H/3) = h

H = 3h

(H/h) = (3/1)

So, The ratio of the height of the cone to the height of the cylinder is 3:1

2) The ratio of the height of the cone to radius of the sphere

Similarly equating the volumes of the cone and the sphere

(1/3)πr²H = (4/3)πr³

(1/3)πr² cancels out on both sides and we're left with

H = 4r

(H/r) = (4/1)

The ratio of the height of the cone to radius of the sphere is 4:1

Hope this Helps!!!

8 0
3 years ago
A triangle is given by A ( 3,2 ) B (-1,5) and C (0,-1) . What is the equation of the line through B parallel to AC ( give ans an
Leokris [45]

Answer:

Step-by-step explanation:

Solution :  

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -1      y_1= 5  

     m= the slope is : (YC - YA)/(XC -XA)

(-1-2)/(0-3) = -3/-3 =1

( parallel to AC means same slope)

an equation in the point-slope form is : y -5 = 1(x+1)

y=x+6

6 0
1 year ago
Solve the rational equation 8-6/x=5+12/x
Firdavs [7]

Answer:

X = 6

Step-by-step explanation:

4 0
2 years ago
A number is K units to the left of 0 on the number line. Describe the location of its opposite
Ksju [112]


------------------------(- K)-------------0-------------(+K)-----------------

K unit to the left of 0, means K is negative.
The opposite of (-K) is (+K), both are symmetric vs. the origin "0", then its location will be +K
6 0
3 years ago
hugo is saving for a new baseball glove. he saves $10 the first week, and $6 each week for the next 6 weeks. the expression 10 +
BigorU [14]
So if Hugo has saved $10 the first week and $6 for the next 6 weeks the answer would be $46.

you can either add up 6 six times or you can multiple 6 by 6.
6+6+6+6+6+6=36 or 6×6=$36

then you add the $10 from the first week & the $36 from the $6 you saved for 6 weeks to get your final answer of $46.
$36+$10=$46
5 0
2 years ago
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