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3 years ago

How to write 25/4% as a decimal

2 answers:

7 0

To write 25/4 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 25 by 4 what we write down as 25/4 and we get 6.25
And finally we have:
25/4 as a decimal equals 6.25

garik1379 [7]3 years ago

4 0

First let's reduce 25/4

25/4 = 6 1/4

Now we can convert 1/4 to hundredths

6 1/4 = 6 25/100

Now just rewrite 25/100 according to place value (twenty-five hundredths is .25)

6 25/100 = 6.25

Now don't forget we are still in percentage (25/4% = 6.25%)

convert to decimal by dividing by 100 ( move decimal 2 places to the left).

6.25% = .0625

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Answer:

A compass and straightedge allow for a more accurate rendition of a triangle, especially one needed to be specific measures

Step-by-step explanation:

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3 years ago

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Match the reasons with the statements.

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Answer:

Concept: Mathematical Derivation

We are given x^2 +6x+2x+12
Hence we simplify: x^2 + 8x +12
Now we factor: (x+2)(x+6)
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2 years ago

A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square

kondaur [170]

This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

$V = xxy = x^{2}y$

We also know that the bin is constructed from 48 square feet of sheet metal, so:

Surface area of the square base = $x^{2}$

Surface area of the rectangular sides = $4xy$

Therefore, the total area of the cube is:

$A = 48 ft^{2} = x^{2} + 4xy$

Isolating the variable y in terms of x:

$y = \frac{48- x^{2} }{4x}$

Substituting this value in V:

$V = x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3}$

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

$\frac{dv}{dx} = 48-3x^{2} =0$

Solving for x:

$x = \sqrt{\frac{48}{3}} = \sqrt{16} = 4$

Solving for y:

$y = \frac{48- 4^{2} }{(4)(4)} = 2$

Then, the dimensions of the largest volume of such a bin is:

Length = 4 ft
Width = 4 ft
Height = 2 ft

And its volume is:

$V = (4^{2} )(2) = 32 ft^{3}$

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3 years ago

Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equa

anyanavicka [17]

Answer:

$Percent = \frac{100a}{b}\%$

Step-by-step explanation:

Given

$\frac{a}{b}$

Required

Convert to fraction

To do this, we simply multiply the fraction by 100%

This gives:

$Percent = \frac{a}{b} * 100\%$

$Percent = \frac{a * 100}{b}\%$

$Percent = \frac{100a}{b}\%$

The expression cannot be further simplified.

Take for instance the fraction is: $\frac{2}{5}$

Using the same analysis, the percentage would be:

$Percent = \frac{2}{5} * 100\%$

$Percent = \frac{2 * 100}{5}\%$

$Percent = \frac{200}{5}\%$

$Percent = 40\%$

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2 years ago

Read 2 more answers

ZA Round your answer to the nearest hundredth.

Ahat [919]

Answer:

A = 48.81°

Step-by-step explanation:

Angles in a Right Triangle

When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.

The tangent ratio is defined as:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

Opposite leg to angle A is 8 and adjacent leg is 7, thus:

$\displaystyle \tan A=\frac{8}{7}$

Using the inverse tangent funcion:

$\displaystyle A=\arctan\frac{8}{7}$

Calculating:

A = 48.81°

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2 years ago