How many angels does a rectangle have

Kaylis [27]

Explanation:

Level 2

Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.

Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.

Level 3

Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.

Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.

Level 4

Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.

Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.

8 0

3 years ago

a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

spin [16.1K]

Answer:

$\huge\boxed{7.79 \ \text{feet}}$

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

|\

| \

x | \ 9

| \

|_____\

4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that $a^2+b^2=c^2$ , where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

$a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79$

Hope this helped!

7 0

3 years ago

Guys help i don't know this please be quick

andrew11 [14]

Hello damerahli!

$\huge \boxed{\mathfrak{Question} \downarrow}$

Find the landmark.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Let's take a look at the graph. The coordinates given are (2, ¼).

This means that...

Coordinate at abscissa = 2
Coordinate at ordinate = ¼

In the graph given, each square = ¼ units. That means the 1st box above the origin in the ordinate is (0, ¼). Let's mark this as our coordinate of y-axis. Then let's take 2 in the abscissa (2, 0) as the other coordinate. So, by connecting the 2 points (since both the coordinates are positive they'll lie in the 1st quadrant) we can see that the landmark is the $\boxed{\underline{\bf \: FBI\: Building}}$ . (Marked as a yellow dot in the attached figure).

Please refer to the attached picture for better understanding.

__________________

Hope it'll help you!

ℓu¢αzz ッ

7 0

3 years ago

Read 2 more answers

Julie is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour. When th

Nady [450]

A = 210 + 20(h - 7) <== ur equation

if she earns 410 tutoring...
410 = 210 + 20(h - 7)
410 = 210 + 20h - 140
410 = 20h + 70
410 - 70 = 20h
340 = 20h
340/20 = h
17 = h <=== she spent 17 hrs tutoring

8 0

3 years ago

8 is 32 times as many as 4

Ber [7]

What’s the question on this??? I’m confused. Please lmk so I can help you get the right answers :)

6 0

3 years ago