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3 years ago

Is the square root of 8 time the square root of 6 rational or irrational

Mathematics

1 answer:

anzhelika [568]3 years ago

8 0

Answer:

The square root of 8 is expressed as √8 in the radical form and as (8)½ or (8)0.5 in the exponent form. The square root of 8 rounded up to 8 decimal places is 2.82842712. It is the positive solution of the equation x2 = 8. We can express the square root of 8 in its lowest radical form as 2 √2.

Square Root of 8: 2.8284271247461903

Square Root of 8 in exponential form: (8)½ or (8)0.5

Square Root of 8 in radical form: √8 or 2 √2

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Question 4<br> A<br> B<br> C<br> D<br> PLEASE HELP!!!

Savatey [412]

Answer:

Step-by-step explanation:

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3 years ago

exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

3 0

3 years ago

Lorie ordered a shed to hold her gardening supplies. The shed had a length of 16.25 ft, a width of 11 ft, and a height of six an

IgorC [24]

The volume of the shelter is 1108.25 cu. ft.

<h3>What is a Cuboid?</h3>

A cuboid is a three-dimensional figure with 6 faces, all the faces are rectangular in shape.

The volume is the space occupied by it in a three-dimensional figure.

The volume of a cuboid whose length is l,

The width is w, and

Height is h.

V = length * Width * Height

V = lwh

The length of the shed is 16.25 ft.

The width of the shed is 11 ft.

The height of the shed is 6 1/5 ft

The height of the shed is 31/5 = 6.2ft.

The volume of the shed is given by

V = 16.25 * 11 * 6.2

V = 1108.25 cu.ft

Therefore, the shed has a volume of 1108.25 cu.ft.

To know more about Cuboid

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1 year ago

Suppose you drive an average of 13,000 miles per year, and your car gets 26 miles per gallon. Suppose gasoline costs $3.60 a g

kow [346]

I'm assuming you're trying to find out how much you'll spend annually on gas: first you would divide the total miles driven in a year (13,000) by your car's mpg (26) giving you a quotient of 500 (the amount of times you'll have to fill up your tank) from here you will need to multiply 500 times the cost of gas ($3.60) giving you a product of $1,800 spent on gas annually.

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3 years ago

Compare the two expressions

Art [367]

Yes, they are equivalent
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4 years ago