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3 years ago

What is 1 2/3 as an improper fraction

1 answer:

nataly862011 [7]3 years ago

6 0

Hi there! To turn a mixed number into a improper fraction we multiply 1 by 3 and add 2. 1 2/3=1×3+2/3=5/3. Therefore, 1 2/3 as an improper fraction is 5/3.

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A rectangular parcel of land has an area of 3,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Kazeer [188]

Answer:

40 ft × 75 ft

Step-by-step explanation:

Let x be the one side ( in feet ) of the rectangular parcel,

So, the diagonal between opposite corners = ( x + 10 ) feet,

Let y be the other side of the rectangle ( adjacent to side x ),

The area of the rectangle,

A = x × y,

According to the question,

A = 3000 square ft,

$\implies xy = 3000\implies y=\frac{3000}{x}$

∵ In a rectangle,

$D^2=a^2+b^2$

Where, a and b are the adjacent side of the rectangle and D is the diagonal,

$(x+10)^2 = x^2 + y^2$

$(x+10)^2 = x^2 + \frac{9000000}{x^2}$

$x^2(x+10)^2 = x^4 + 9000000$

$x^2(x^2+100+20x) = x^4 + 9000000$

$x^4+100x^2 + 20x^3 = x^4 + 9000000$

$20x^3 + 100x^2 - 9000000=0$

$x^3 + 5x^2 - 450000 = 0$

By graphing the equation,

We found that,

The only real zeros of the equation is at x = 75,

Hence, the one side of the rectangle = 75 ft,

And, second side = $\frac{3000}{75}$ = 40 ft

Hence, the dimension of the land is 40 ft × 75 ft

3 0

2 years ago

Read 2 more answers

Solve for 8 - 6r + 3 = 5

Oksanka [162]

Answer:

r = 1

Step-by-step explanation:

8 - 6r + 3 = 5

Combine like terms

11 - 6r = 5

Subtract 5 from both sides

6 - 6r = 0

Add 6r to both sides

6 = 6r

Divide both sides by 6

1 = r

5 0

2 years ago

Find the distance between the points (-7.2, -9.3) and (-7.2, -1.1)

AlexFokin [52]

Answer:

8.2

Step-by-step explanation:

-7.2 to -7.2 is 0

-9.3 to -1.1 is 8.2

Pythagorean theorem is a^2+b^2=c^2

0^2=0

8.2^2=67.24

0+67.24=0

√67.24=8.2

The distance between the to points is 8.2

6 0

2 years ago

The diameter of a circular garden is 18 feet. What is the approximate area of the garden?

nlexa [21]

Area of a circle = πr²

Radius = 18/2 = 9

A = (3.14)(9)²
A = 254.34

Hope this helps :)

4 0

2 years ago

Read 2 more answers

NEED HELP Work out the value of 4y+3x when x=5 and y=-3 Thanks

wel

Hey there!

“4y + 3x”

If x = 5 and y = -3, then substitute it into the equation

4(-3) + 3(5)

4(-3) = -12

-12 + 3(5)

3(5) = 15

-12 + 15

= 3

Answer: 3

Good luck on your assignment and enjoy your day!

~Amphitrite140:)

4 0

2 years ago