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serious [3.7K]
3 years ago
7

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

Mathematics
1 answer:
Arlecino [84]3 years ago
6 0
Here: 1/r6+r5
= r11+1/r6
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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}

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3 years ago
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Just the middles question pls
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The answer to this question is metaphor
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2 years ago
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