Rationalise the denominator.<br> Simplify your answer fully.<br> 1/r6+r5

Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she

Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

$x+y+y=180\\\\x+2y=180\\\\x=180-2y$

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

$x=4y$

Replacing this value into the first equation, we have

$4y=180-2y\\\\
6y=180\\\\
y=30$

Therefore,

$x=(4)(30)=120$

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

$(120)(30)=3600$

The fence encloses 3600 sq ft.

4 0

3 years ago

Help pleaseeeee picture attached

pav-90 [236]

Answer:

The diagonal of the base is 4√5 centimeters.

The area of a base is 40 square centimeters.

The area of a lateral side between the bases is about 126.5 square centimeters.

Step-by-step explanation:

7 0

3 years ago

Barrett works at an ice cream shop. The function f(x) represents the amount of money in dollars Barrett earns per gallon of ice

Paha777 [63]

Answer:

$f(g(x))=6x^3} +4$

Step-by-step explanation:

Given:

$f(x)=2x^2+4\\\\g(x)=\sqrt{3x^3}$

Required:

f(g(x))=?

Solution:

let f(g(x))=f(X), where X=g(x)

so $f(X)=2X^2+4$

put X= $g(x)=\sqrt{3x^3}$ , we get

$f(g(x))=2(\sqrt{3x^3} )^2+4$

$f(g(x))=2(\sqrt{3x^3} )^2+4\\\\f(g(x))=2({3x^3} )+4\\\\f(g(x))=6x^3} +4$

5 0

3 years ago

Please help meh on this for points and brainliest

Oxana [17]

Answer:

13 is two and two thirds of four and seven eighths.

Step-by-step explanation:

To solve this, all you need to do is divide 13 by 2 and two thirds. Let's do it:

$13 \div 2\frac{2}{3}\\= 13 \div \frac{8}{3}\\= 13 \times \frac{3}{8}\\= \frac{13 \times 3}{8}\\= \frac{39}{8}\\= 4\frac{7}{8}$

3 0

3 years ago

Read 2 more answers

Just the middles question pls

Anvisha [2.4K]

The answer to this question is metaphor

3 0

2 years ago

Read 2 more answers

Rationalise the denominator. Simplify your answer fully. 1/r6+r5