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Aliun [14]
2 years ago
8

A fish tank at an aquarium has a volume of 1,568 cubic feet and a depth of 8 feet. If the base of the tank is square, what is th

e length of each side of the tank?
Mathematics
2 answers:
Firdavs [7]2 years ago
5 0

Answer with Step-by-step explanation:

A fish tank is in the shape of cuboid.

It's height is 8 feet

and volume=1568 cubic feet

we know that volume of cuboid=lbh

where l is the length, b is the width and h is the height

The base of the tank is square

i.e. l=b

Volume=l²h

⇒ 1568=l²×8

⇒ l²=196

⇒ l=14

Hence, The length of base of tank=14 feet

width of tank=14 feet

and height=8 feet

Blizzard [7]2 years ago
3 0

volume = l x w x h

1568 /8 = 196

sqrt(196) = 14


 each side is 14 feet

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2 years ago
Without using a calculator, choose the statement that best describes the value of the square root of 46
allochka39001 [22]

Answer:

The value of √46 is between 6.5 and 7.

Step-by-step explanation:

We can use perfect squares to solve this problem.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

A square root reverses the squaring operation. Therefore, if we take the square root of 49, we will get 7.

So, because 46 fits in the interval 36 < 46 < 49, we can solve this problem.

√36 = 6

√46 = ?

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Therefore, using this information, we can see that clearly the value of 46 is closer to 49, meaning that the square root of 46 is between 6.5 and 7.

4 0
2 years ago
Jake made a total of 7 copies at a copy shop, with some being black-and-white copies and some being color copies. Black-and-whit
Arada [10]
Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents

70 = 8b + 15c

he made a total of 7 copies
b + c = 7

system of equation:
70 = 8b + 15c
b + c = 7

--------------------------

b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c

plug in 7 - c for b

70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)

70 = 56 - 8c + 15c
Simplify like terms

70 = 56 - 8c + 15c
70 = 56 + 7c

Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides

70 (-56) = 56 (-56) + 7c
14 = 7c

divide 7 from both sides to isolate the c

14 = 7c
14/7 = 7c/7
 c = 14/7
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c = 2
---------------

Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5

Jake made 5 black-and-white copies, and 2 color copies

hope this helps
8 0
2 years ago
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<span>gravitational potential energy : P
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F = mg ( not just <m> as the force is mg (Newton) gravity effect)

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d = h 

W = Fd = (F = mg) x (d = h) = mgh 

W = mgh = P


</span>

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2 years ago
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Answer: a

Step-by-step explanation:

7 0
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