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2 years ago

Is the following number rational or irrational? - 13/12 A: rational B: irrational

Mathematics

2 answers:

Kitty [74]2 years ago

4 0

Answer:

B. irrational

Step-by-step explanation:

-13/12 = −1.083333333

Novosadov [1.4K]2 years ago

3 0

B irrational beacause they don’t have equal factors

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The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th

inna [77]

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4 -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

$y(y-2)=100$

$y^2-2y=100$

subtracting 100 from both sides

$y^2-2y-100=0$

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

$ax^2+bx+c=0$

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

$y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

Solving first

$y=\frac{2+\sqrt{4+400}{2}$

$y=\frac{2+\sqrt{404}{2}$

$y=\frac{2+20.099}{2}$

$y=\frac{22.099}{2}$

$y=11.049$

Solving second one

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{2-\sqrt{4+400}{2}$

$y=\frac{2-\sqrt{404}{2}$

$y=\frac{2-20.099}{2}$

$y=\frac{-18.99}{2}$

$y=-9.045$

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

4 0

3 years ago

Please help I’m having a rough time

____ [38]

Answer:

y=mx+b

y=-2/3x-7

Step-by-step explanation:

not sure about the -7 part

hopes this helps

3 0

2 years ago

Read 2 more answers

MARKING BRAINLIST PLEASE HELP TYSM!!

gogolik [260]

Answer:

its 20 2/3

Step-by-step explanation:

bc 4 * 5 which equals 20 and then just add a 2/3

3 0

2 years ago

Read 2 more answers

What is the intersection of the given lines?

Sophie [7]

Point D that is the intersection of the the given lines

8 0

1 year ago

Cara and John collect baseball cards.Cara has 12 times as many baseball cards as John.Together they have 117 cards.How many card

MrRa [10]

Answer:

John has 9 baseball cards.

Step-by-step explanation:

To start off, we want to find the highest product of 12 without going over 117. Lets try out some problems...

What about 12x10? Well that equals 120 and since it goes over 117 that won't work.

What about 12x9? That equals 108. This is below 117. Since we know that Cara has 12 times more baseball cards than John has, we simply add 9 to 108 and it gives us 117 total baseball cards.

This means, John has 9 baseball cards.

7 0

2 years ago