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3 years ago

How much glass is needed to construct a hexagonal (6-sided) fish tank? The tank is

Mathematics

1 answer:

natima [27]3 years ago

4 0

Answer:

Each side of the hexagon is a rectangle of height 4ft and width 11ft.

The area of each one of these rectangles is:

A = 4ft*11ft = 44ft^2

And a hexagon has 6 faces, so the fish tank will have 6 of these rectangles, then the total area is:

area = 6*44ft^2 = 264 ft^2

We know that the base of the hexagon is not made of glass, but we do not know if the top is made of glass or not.

In the case that the top is not made of glass, the amount of glass needed is 264 ft^2

If the top is made of glass, then we need to add the area of a hexagon of side 11 ft, which is:

a = (3*√3)*(11ft)^2/2 = 314.4ft^2

Then the total area in this case is:

264 ft^2 + 314.4ft^2 = 578.4 ft^2

This is the total amount of glass needed to construct the tank if the top of the tank is made of glass.

You might be interested in

if the side of a cube measures 1/3 ft, and there are 108 cubes in a box - with no gaps- what is the volume of the box?

Firlakuza [10]

Answer:108ft^3

Step by step solution: See photo

8 0

3 years ago

According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

notsponge [240]

Answer-

$\boxed{\boxed{\frac{7}{3}}}$

Solution-

Rational Root Theorem-

$f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_1x+a_0\ \ \ and\ a_n\neq 0$

All the potential rational roots are,

$=\pm (\dfrac{\text{factors of}\ a_0}{\text{factors of}\ a_n})$

The given polynomial is,

$f(x) = 9x^8 + 9x^6-12x + 7$

Here,

$a_n=9,\ a_0=7\\\\\text{factors of}\ 9=1,3,9\\\\\text{factors of}\ 7=1,7$

The potential rational roots are,

$=\pm \frac{1}{1},\pm \frac{1}{3}, \pm \frac{1}{9}, \pm \frac{7}{1}, \pm \frac{7}{3}, \pm \frac{7}{9}$

$=\pm 1,\pm \frac{1}{3}, \pm \frac{1}{9}, \pm 7, \pm \frac{7}{3}, \pm \frac{7}{9}$

From, the given options only $\frac{7}{3}$ satisfies.

6 0

3 years ago

Read 2 more answers

A business executive bought 40 stamps for

alekssr [168]

Answer:

32 33-cent stamps, 8 23-cent stamps

Step-by-step explanation:

In order to solve this question, we need to set up a system of equations. Also known as solving for two variables (the number of each stamp).

Let's set x to be the number of 33-cent stamps. Similarly, let's set y to be the number of 23-cent stamps.

To make our first equation, let's think about the number of stamps total we have. We can say:

$x + y =40$

(AKA - The number of 33-cent stamps, plus the number of 23-cent stamps, equals 40 stamps.)

Now, let's make an equation for the cost of these stamps.

$0.33x + 0.23y = 12.40$

(AKA - The cost of the stamps in total, should equal $12.40).

So now, we have our two equations:

$x + y =40\\0.33x+0.23y=12.40$

If you have a TI-84 graphing calculator, you can go to apps -> polysmlt2 -> simultaneous eqn solver, and then input these equations into the menu. This will solve the problem for you.

If you need to do this manually, let's use substitution. Condense our first equation to make it more substitutable.

$x+y=40\\x=40-y$

Now, let's put this into our second equation.

$0.33x+0.23y=12.40\\0.33(40-y)+0.23y=12.40$

Distribute, and solve for y.

$13.2-0.33y +0.23y =12.40\\13.2-0.1y=12.40\\-0.1y=-0.8\\y=8$

Now, we plug this into one of our equations.

$x+y=40\\x+8=40\\x=32$

In the end, we have thirty-two 33-cent stamps, and eight 23-cent stamps.

3 0

1 year ago

Jose left the white house and drove toward the recycling plant at an average of 40km/h. Rob left some time later driving in the

tiny-mole [99]

I would think it would be 200km before rob caught up with him?

6 0

4 years ago

1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In e

Helen [10]

Answer:

(a) a function, but not one-to-one

Step-by-step explanation:

The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.

The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.

Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).

The graph is a function, but not one-to-one.

6 0

2 years ago