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77julia77 [94]
2 years ago
5

What direction will this parabola open?

Mathematics
1 answer:
butalik [34]2 years ago
4 0

Answer:

Step-by-step explanation:

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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
In Davidson Corporation, the first shift produced 8½ times as many lightbulbs as the second shift. If the total lightbulbs produ
Diano4ka-milaya [45]

8 1/2=17/2=8.5

24,700 divided by 8.5=2,905,8823

OR

24,700:17/2  =24,700x2/17=2,905,8823

4 0
3 years ago
Please find X when x÷20=5
tia_tia [17]
X=100 because 20 X 5 is 100
6 0
3 years ago
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The quantities X and Y are proportional find the constant of proportionality (r) in the equation y=Rx
Juliette [100K]

Answer:

y/x = R

Step-by-step explanation:

The two quantities x and y are proportional means they have a relation.

The equation is;

y= Rx ------to find the proportional R you make R the subject of the formula;

y/ x = R

4 0
3 years ago
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What percentage of the audience from the 16-25 age group gave the movie a poor rating? 6.19% 10.00% 25.34% 15.70% 16.22%
just olya [345]
We have to find what percent of the audience from the 16-25 age group gave the movie poor rating. There were 113 viewers from this group. There were 7 of them that gave the movie poor rating. We will use the proportion: 113 / 7 = 100% / x% . Then we will cross multiply: 113 x = 700; x = 700 : 113; x = 6.19%. Answer: A ) 6.19%. 

7 0
2 years ago
Read 2 more answers
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