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2 years ago

A swimming pool has a length of 28 feet, a width of 16 feet, and a depth of 7 feet.

Mathematics

1 answer:

ivanzaharov [21]2 years ago

8 0

Answer:

The pool can hold 3,136 cubic feet of water

Step-by-step explanation:

To know how much water the pool can hold, we need to find the volume of this swimming pool, because the volume is how much a container can hold.

The formula for volume is L*W*H (length times width times height)

Let's multiply!

28*16*7=3136

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What divided by -18 = 23

3241004551 [841]

Answer:

x= $- \frac{18}{23}$

Step-by-step explanation:

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3 years ago

80 is 5% of what number?

nikklg [1K]

Answer:

1600

Step-by-step explanation:

1600 x 0.05 = 80

80 / .05 = 1600

3 0

2 years ago

Read 2 more answers

Use complete sentences to describe why √-1 ≠ -√1

tekilochka [14]

Well let's say that to compare these two numbers, we have to start with the definition first.

Definition

$\displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }$

Looks like we can use any x-values right? Nope.

The value of x only applies to any positive real numbers for one reason.

As we know, any numbers time itself will result in positive. No matter the negative or positive.

Definition II

$\displaystyle \large{ {a}^{2} = a \times a = |b| }$

Where b is the result from a×a. Let's see an example.

Examples

$\displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}$

So basically, their counterpart or opposite still gives same value.

Then you may have a question, where does √-1 come from?

It comes from this equation:

$\displaystyle \large{ {y}^{2} = - 1}$

When we solve the quadratic equation in this like form, we square both sides to get rid of the square.

$\displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }$

Then where does plus-minus come from? It comes from one of Absolute Value propety.

Absolute Value Property I

$\displaystyle \large{ \sqrt{ {x}^{2} } = |x| }$

Solving absolute value always gives the plus-minus. Therefore...

$\displaystyle \large{ y = \pm \sqrt{ - 1} }$

Then we have the square root of -1 in negative and positive. But something is not right.

As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.

Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.

Then we have another number which is -√1. This one is simple.

It is one of the solution from the equation y^2 = 1.

$\displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }$

We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.

Conclusion

So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.

5 0

2 years ago

Read 2 more answers

A computer chip has dimensions of 8mm x 8mm. the scale drawing shows 4cm by 4cm. the answer is 1cm represents 2mm but I don't kn

Andru [333]

$Change\ all\ dimensions\ to\ the\ same\ unit. \\ \\ \\ \\ 4cm==\textgreater\ 400\ mm$ $Work\ out\ the\ Scale\ factor, \\ \\ \\ \\ Scale\ factor= { \frac{Scaled\ dimension\ (same\ side)}{Actual\ dimension\ (same\ side)} } \\ \\ = { \frac{400}{8} } \\ \\ = 50$
$1\ mm\ on\ actual= 50\ mm\ on\ scaled. \\ \\ 2\ mm\ represents\ 1\ cm\ on\ scaled.$

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3 years ago

What is a equation for 11 5 and b

Phoenix [80]

Answer: i need more information in order to help

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2 years ago