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tiny-mole [99]
3 years ago
5

There are two tanks at the aquarium. Tank A and Tank B. Each has two sections. The volume of one section of Tank A is 24 cubic f

eet. The volume of the other section of Tank A is 96 cubic feet. What is the total volume, in cubic feet, of Tank A?
Tank B has the same volumes as Tank A.
The volume of one section of TAnk B is 45 cubic feet. What is the volume, in cubic feet, of the other section of Tank B?
Mathematics
1 answer:
Reptile [31]3 years ago
5 0
Question 1)

Volume of Tank A = Sum of volume of its two parts.

So,

Volume of Tank A = 24 + 96 = 120 cubic feet

Question 2)

Volume of Tank B and Tank A is the same. So, Volume of Tank B = 120 cubic feet

One section of Tank B = 45 cubic feet

So, volume of other section of tank B = 120 - 45 = 75 cubic feet
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Math:
Dahasolnce [82]

Answer:

a) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}, b) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

\sqrt{3}\cdot \csc x - 2 = 0

\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0

\sqrt{3} - 2\cdot \sin x = 0

\sin x = \frac{\sqrt{3}}{2}

x = \sin^{-1} \frac{\sqrt{3}}{2}

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

b) The equation must be simplified first:

\cos x + 1 = - \cos x

2\cdot \cos x = -1

\cos x = -\frac{1}{2}

x = \cos^{-1} \left(-\frac{1}{2} \right)

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

7 0
3 years ago
X+ 0.0825×=216.50 A.) x=2.00 B.) x=20.0 C.) x=200 D.) x=2000
Luden [163]
X+0.0825x=216.5
1.0825x=216.5
x=216.5 / 1.0825
x=200

Answer: C.)  x=200
8 0
3 years ago
Select the correct answer.
Pani-rosa [81]

Answer:

its probably division property if equality

Step-by-step explanation:

because it has division in it

6 0
3 years ago
Whats next 2 numbers in this pattern 4,20,100,500.....
Korolek [52]
The next two patterns are 2,500 12,500
7 0
3 years ago
Charles has six times as many action figures as ben together the action figures total more than 75 how many does each have
seropon [69]

Answer:

We have been given that Charles has six times as many action figures as Ben

Let Ben has x action figures

So according to question Charles will have 6x.

together the action figures total more than 75

x+6x>75

7x>75

x>\frac{75}{7}

So Ben will have more than \frac{75}{7} action pictures.

And 6x>6\frac{75}{7}

6x>\frac{450}{7}

Charles will have more than \frac{450}{7}.

7 0
3 years ago
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