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2 years ago

Which of the ratios below is equivalent to 2:3? Select all that apply.

Mathematics

2 answers:

Scorpion4ik [409]2 years ago

7 0

Answer:

B C and E

Step-by-step explanation:

B is correct because when you multiply 2 and 3 by 5 you get 10:15

C is correct because when you multiply 2 and 3 by 4 you get 8:12

E is correct because when you multiply 2 and 3 by 10 you get 20:30

to find ratios you should be able to multiply the original two numbers by the same number to match

nataly862011 [7]2 years ago

6 0

Answer:

b and e

Step-by-step explanation:

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0-449 is the most reasonable bc of how much the shipping costs

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2 years ago

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.

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2 years ago

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Write the additive inverse of 14/113

Helen [10]

Step-by-step explanation:

just opposite it mesn 113/14

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3 years ago

Find the value of x. Right triangle: Hypotenuse is 11, base is x, angle is 22 degrees.

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We know that the trigonometric identity that uses the adjacent side and the hypotenuse is cosine. We can set this up as:
$cos(22) = \frac{x}{11}$

We need to solve for x, so let's isolate it:
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So, x = 10.2 units

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3 years ago

What is the area of a semicircle with a diameter of 10 cm?

Irina18 [472]

Answer:

Step-by-step explanation:

area of semi circle = π r² / 2

where r = 10/2 = 5 cm

area = π (5)² / 2

= 39.27 cm²

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