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Rzqust [24]
3 years ago
14

The Louvre museum in France has a glass pyramid in front. The sides measure 114 feet and it reaches a height of 71 feet. How man

y cubic feet of water could it hold if it were turned into an aquarium​
Mathematics
1 answer:
enot [183]3 years ago
6 0

Answer:

307,572\ ft^{3}

Step-by-step explanation:

we know that

The volume of a pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the base of the pyramid

h is the height of the pyramid

Find the area of the base B

B=114^{2}=12,996\ ft^{2}

we have

h=71\ ft

substitute the values

V=\frac{1}{3}(12,996)(71)=307,572\ ft^{3}

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Determine the volume of the figure. Use 3.14 for π. Round your answer to the nearest tenth. Show all of your work.
Ostrovityanka [42]

Answer:

1985 cubic units (written as un. with the cubed exponent)

Step-by-step explanation:

First, you find the volume of the cylinder

Here's the formula:

V=\pi r^{2}h\\V=volume\\r=radius\\h=height

Now, you plug in and solve.

V=(3.14)(7.2^{2})(7.4)\\V=(3.14)(51.84)(7.4)\\V=(162.7776)(7.4)\\V=1204.55424\\rounded:\\V=1204.6

Then, you find the volume of the dome.

Here's the formula:

volume/of/a/sphere=\frac{4}{3}\pi r^{3}\\volume/of/a/dome:\\V=\frac{2}{3}\pi r^{3} \\V=volume\\r=radius

Now, you just plug in and solve.

V=(\frac{2}{3})(\pi)(r^{3})\\V=(\frac{2}{3})(3.14)(7.2^{3})\\V=(\frac{2}{3})(3.14)(373.248)\\V=(2.093)(373.248)\\V=781.208064\\rounded:\\V=781.2

Finally, you add them together, and there's your answer!

1204.6+781.2=1985.8

Hope this helped!

<em>brainliest?</em>

8 0
3 years ago
Automobile license plates in Massachusetts usually consist of three digits followed by three letters. The first digit is never z
Serga [27]

Answer:

1,58,18,400

Step-by-step explanation:

1st digit can have the values 1-9 (9 distinct values)

2nd digit can have the values 0-9 (10 distinct values)

3rd digit can have the values 0-9 (10 distinct values)

1st letter can have the value A-Z (26 distinct values)

2nd letter can have the value A-Z (26 distinct values)

3rd letter can have the value A-Z (26 distinct values)

Total number of different plates possible = 9*10*10*26*26*26

=1,58,18,400

3 0
2 years ago
Work out the size of the angle X.<br><br> Give your answer correct to 3 significant figures.
aleksley [76]

Step-by-step explanation:

Recall the Ratio for tan

Tan(theta) = opposite / adjacent

Tan (x) = 9 / 5

solve for x (use Tan^-1(...) )

3 0
2 years ago
Read 2 more answers
Was a major accomplishment of both Tutankhamun and Rameses II.<br><br><br><br><br> Plz help
LenKa [72]

Answer:

AA similarity. The angles in both are the same.

Edit: I don't know if you need this, but a major accomplishment of King Tut and Ramses was that they encouraged the following of ancient religious beliefs among the Egyptian people .

Hope that this helps!

6 0
2 years ago
How do u simplify 3/30​
sukhopar [10]

\bf \cfrac{3}{30}\implies \cfrac{3\cdot 1}{3\cdot 10}\implies \cfrac{3}{3}\cdot \cfrac{1}{10}\implies 1\cdot \cfrac{1}{10}\implies \cfrac{1}{10}

8 0
3 years ago
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