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Blababa [14]
3 years ago
10

Macie just bought a new fish tank. The fish tank is a cube with a side length of 1.75 feet. She is going to fill the fish tank u

sing a small plastic container she found in her kitchen cupboard by filling it at the sink, walking it to the tank, emptying it and repeating the process until the tank is full. If the small plastic container is a cube with the side length of 8 inches, how many trips does she need to make to completely fill the fish tank?
Mathematics
1 answer:
stealth61 [152]3 years ago
8 0
The volume of a cube is given by:
 V = L ^ 3
 Where,
 L: length of one side of the cube
 For the fish tank we have the volume is:
 V1 = (1.75) ^ 3
 V1 = 5.359375 feet ^ 3
 For the plastic container we have the volume in feet is:
 V2 = (8 * (1/12)) ^ 3
 V2 = 0.296296296
 Therefore, the number of times is:
 N = V1 / V2
 N = 5.359375 / 0.296296296
 N = 18
 Answer:
 
she needs to make 18 trips to completely fill the fish tank
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aron lei is making identical balloon arrangements for a party. He has 32 maroon balloons and 24 white balloons, he wants each ar
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The greatest number of arrangements that he can make if every balloon is used is 8.

Step-by-step explanation:

The greatest number of arrangements will be the greatest common factor between 24 and 32.

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We keep factoring both numbers by prime factors, while they can both be divided by the same number. So

24 - 32|2

12 - 16|2

6 - 8|2

3 - 4

There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.

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3 years ago
What is the height of the triangle? 12 units 24 units 36 units 72 units.
konstantin123 [22]

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side. The height of the tringle is 24 units. Hence option 2 is the correct option.

<h3>Given information-</h3>

The triangle for the given problem is shown in the image below.

Form the figure the length of the each side is 16 \sqrt{3} units.

As all the sides are equal thus the \Delta MNO is a equilateral triangle in which the height of the divides the triangle into two equal part of the length 8\sqrt{3} at point <em>R.</em>

<h3>Height of the triangle-</h3>

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.

Now in the  \Delta MRN, the length of the hypotenuse is 16 \sqrt{3} units and the length of the base is 8\sqrt{3} units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,

(16\sqrt{3})^2 =(8\sqrt{3})^2+h^2

Solve for <em>h,</em>

<em />

<em />\begin{aligned}h^2 &=(16\sqrt{3})^2 -(8\sqrt{3})^2\\h^2 &=16\times16\times3 -8\times8\times3\\h^2 &=576\\h &=\sqrt{576}\\h &=24\\\end<em />

<em />

Thus the height of the tringle is 24 units. Hence option 2 is the correct option.

Learn more about the equilateral triangle here;

brainly.com/question/4268382

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