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2 years ago

What is the rationalizing factor of √3?

Mathematics

1 answer:

Vanyuwa [196]2 years ago

5 0

Answer:

$± \sqrt{3} \: \: ( \sqrt{3} \: \: or \: \: - \sqrt{3} )$

Step-by-step explanation:

$\sqrt{3} \times \sqrt{3} = 3 \: \: (rationalize)$

$\sqrt{3} \times ( - \sqrt{3} ) = - 3$

The rationalizing factor of $\sqrt{ 3}$

is $\boxed{\green{\sqrt{3} \: \: or \: \: - \sqrt{3}}}$

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What is the longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide, and 11cm tall?

vlabodo [156]

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

<h3>What is a right rectangular prism?</h3>

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

$(diagonal)^{2}$ = $(length)^{2}$ + $(width)^{2}$

$(diagonal)^{2}$ = $(14)^{2}$ + $(13)^{2}$

= 196 + 169 = 365

$(diagonal)^{2}$ = 365

diagonal = $\sqrt{365}$ = 19.1cm

In conclusion, the length of the longest diameter is 19.1cm

Learn more about Right rectangular prism: brainly.com/question/3317747

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4 0

1 year ago

11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f i

storchak [24]

Replace f with 190, replace P with 4148 and solve for s:

4148 = 1.85s + 4.2(190)

Simplify:

4148 = 1.85 + 798

Subtract 798 from both sides:

3350 = 1.85s

Divide both sides by 1.85:

s = 1,810.81

Rounded to nearest square foot = 1811 square feet.

8 0

3 years ago

Read 2 more answers

Please help i don't know what to do

Alik [6]

Answer:

The answer is A .

Step-by-step explanation:

Hope it helps u , good luck ^.^

4 0

2 years ago

What is the volume of this cube?

Novay_Z [31]

Step-by-step explanation:

Use formula for cube volume:

V=a³

Then add informations you already have and you are done.

V=0,5³

V=0,125 m³

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2 years ago

Read 2 more answers

Plz help asap i will give u brainlist

nadya68 [22]

Answer: (1,50) (2,100) (3,150) (4,200) (5,250) (6,300) (7,350) (8,400) (9,450)

Step-by-step explanation:

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3 years ago

What is the rationalizing factor of √3? ​

What is the rationalizing factor of √3?