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4 years ago

Simplify 4√6/√30 by ratipnalizing the denominator. Show your work.

1 answer:

4 0

Radical 30 can be separated into radical 5 x radical 6.

Divide both sides by radical 6, making 4/radical5.

Multiply by radical5 for a rational equation

4 $\sqrt{5}$ /5

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in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if

mina [271]

We have a square garden of 400 square foot.

The area of a square is:

$A=x^2$

where x: side length.

In this case:

$\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}$

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

$P=4x=4\cdot20=80\text{ ft}$

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

$C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}$

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

$F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40$

Answer: the fencing will cost a total of $128.40

8 0

1 year ago

Find the area of the triangle

Goshia [24]

I wrote the steps down, hopefully you understand them and the answer is on the lower right corner.

6 0

4 years ago

Use the expression below to answer the following question:

nadezda [96]

Coefficients: 2 and 12

6 0

3 years ago

Read 2 more answers

Find a polynomial with the following zeros. HELPPPP ASAPPP

Pavlova-9 [17]

Answer:

x³ - 4x² + 2x + 4 = 0

Here's how I solved this:

You start off by rewriting the zeros into factors:

1 - √3 → x = 1 - √3 → (x - 1 - √3)

2 → x = 2 → (x - 2)

1 + √3 → x = 1 + √3 → (x - 1 + √3)

Now you want to multiply the factors together:

(x - 1 - √3) · (x - 2) · (x - 1 + √3)

- Multiply the first two factors together -

(x - 1 - √3) · (x - 2)

↓

(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)

- Combine like terms and simplify -

(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)

↓

(x² - 3x - √3 · x + 2√3 + 2)

- Now multiply the third factor -

(x² - 3x - √3 · x + 2√3 + 2)(x - 1 + √3)

↓

(x² · x + x² · √3 - x² - 3x · x - 3x · √3 + 3x - √3 · xx - √3 · x · √3 +√3 · x + 2 · √3 · x + 2 · √3 · √3 - 2 · √3 + 2x + 2 · √3 - 2)

↓

(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)

- Combine like terms and simplify -

(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)

↓

x³ - 4x² + 2x + 4

--------------------------------------------------------------------------------------------------------------

And there we get our solution: x³ - 4x² + 2x + 4

8 0

2 years ago

Heather wants to buy a new refrigerator, but she only has room for one that is 18 ft3 or less. Which set of dimensions represent

Naddika [18.5K]

That would be A.
(2)(2.5)(3) = 15 ft^3

5 0

3 years ago

Read 2 more answers