3 years ago

Which of these needs the denominator rationalized? -PLEASE HELP

Mathematics

1 answer:

valentinak56 [21]3 years ago

4 0

Answer:

option b

Step-by-step explanation:

$\sqrt{ \frac{5}{3} }$

$\frac{ \sqrt{5} }{ \sqrt{3} }$

the denominator is in the surd form, so it must be rationalized

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2 years ago

The Doe family had a rectangular garden with a 58-foot perimeter. They reduced the length by 7 feet and decreased the width to b

Vaselesa [24]

Answer:

60 square foot

Step-by-step explanation:

Perimeter of a rectangular garden = 58 foot

Let x and y denote length and width of the rectangular garden.

2 (Length + Width) = Perimeter of the rectangular garden

$2(x+y)=58\\x+y=\frac{58}{2}\\ x+y=29$

So,

length = x

width = y = $29-x$

The length is reduced by 7 feet and the width becomes half.

New length = $x-7$

New width = $\frac{1}{2}(29-x)$

New perimeter = 34 foot

$2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19$

So,

New length $=x-7=19-7=12\,\,foot$

New width = $\frac{1}{2}(29-19)=\frac{1}{2}(10)=5\,\,foot$

Area of the new smaller garden = New length × New Width

= 12 × 5

= 60 square foot

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3 years ago