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3 years ago

6

What is the symbolic representation for this argument

1 answer:

sweet [91]3 years ago

8 0

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How many different ways are there to rearrange the letters of the word EXAM, if you don't care if the results is a recognizable

Vlada [557]

In this case, all letters are unique.

Start by holding the first letter:
E - XAM
E - XMA
E - MAX
E - MXA
E - AXM
E - AMX
So there are 6 combinations here.

Repeat for all 4 letters.

6 x 4 = 24

This is same as 4x3x2x1.

For 3 unique characters, it is 3x2x1.
For 5 unique characters, it is 5x4x3x2x1
And so on...

6 0

3 years ago

Multiple choice!! There's only one correct answer.

GalinKa [24]

The solution is where the red line crosses the blue line, which on the X axis is between the 1 and the 2, so about 1.5.

Convert the fractions to decimal and see which one is close to 1.5:

13/8 = 1.625

25/16 = 1.5625

7/4 = 1.75

27/16 = 1.6875

The closest one to 1.5 is 25/16

5 0

3 years ago

Find the missing lengths: LK=15 and KH=9, find KI and HI.

Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

$base^2+perpendicular^2=hypotenuse^2$

Use Pythagoras in triangle HKL

$LH^2+KH^2=LK^2$

$(LH)^2+9^2=15^2$

$(LH)^2+81=225$

$(LH)^2=144$

Taking square root on both sides.

$LH=12$

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

$(KI)^2+15^2=(12+x)^2$

$(KI)^2+225=x^2+24x+144$

$(KI)^2=x^2+24x+144-225$

$(KI)^2=x^2+24x-81...(1)$

Use Pythagoras theorem in ΔHKI,

$(KI)^2=x^2+9^2$

$(KI)^2=x^2+81...(2)$

From (1) and (2) we get

$x^2+81=x^2+24x-81$

$24x=162$

$x=\dfrac{162}{24}=6.75$

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

$(KI)^2=(6.75)^2+81$

$(KI)^2=126.5625$

Taking square root on both sides.

$KI=\sqrt{126.5625}$

$KI=11.25$

Hence, the measure of KI is 11.25 units.

3 0

3 years ago

Sebastian wants to create a right triangle with side lengths 14 inches, 48 inches, and 5

allochka39001 [22]

Answer: Choice A

$\text{Yes, because } 14^2+48^2 \text{ is equal to } 50^2$

=======================================================

Explanation:

The pythagorean theorem is $a^2+b^2 = c^2$

The value of c is always the longest side, aka hypotenuse.

The order of 'a' and b doesn't matter.

So a = 14, b = 48, c = 50

We have $a^2+b^2 = 14^2+48^2 = 196+2304 = 2500$

We also have $c^2 = 50^2 = 2500$

Both sides result in 2500 which proves that $14^2+48^2 = 50^2$ is a true statement. Therefore, we do have a right triangle.

7 0

2 years ago

Does this table show y as a function of x ? <br> : (-3,1) (0,-5) (4,7) (-3,0)

belka [17]

Answer:

No.

Step-by-step explanation:

The definition of a function is that every output (x) has only one input (y).

Here -3 gives two different outputs which contradicts the definition of a function.

5 0

3 years ago