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3 years ago

Can fractions still be considered natural, whole, integers, rational, irrational, or real numbers?

1 answer:

7 0

<span>Fractions are numbers which can be represented in the form p/q, where p and q are WHOLE NUMBERS and q is not zero Rational numbers are numbers which can be represented in the form p/q where p and q are INTEGERS and q is not zero So your saying " all rational numbers are all numbers that can be represented as a fraction." is wrong....... all fractions are rational numbers but NOT ALL rational numbers are fractions..</span>

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A triangular pane of glass has a height of 34 inches and an area of 442 square inches. What is the length of the base of the pan

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Answer:

Step-by-step explanation:

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3 years ago

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Shahad put $65 in her lunch account. She spends $3 each day on lunch. If her account goes below $5, she will get a notice sent h

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Answer:

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If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in

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Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume ( $V$ ), in cubic centimeters, and surface area ( $A_{s}$ ), in square centimeters, of the box with a square base are described below:

$A_{s} = l^{2}+h\cdot l$ (1)

$V = l^{2}\cdot h$ (2)

Where:

$l$ - Side length of the base, in centimeters.

$h$ - Height of the box, in centimeters.

By (2), we clear $h$ within the formula:

$h = \frac{V}{l^{2}}$

And we apply in (1) and simplify the resulting expression:

$A_{s} = l^{2}+ \frac{V}{l}$

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$V = A_{s}\cdot l -l^{3}$ (3)

Then, we find the first and second derivatives of this expression:

$V' = A_{s}-3\cdot l^{2}$ (4)

$V'' = -6\cdot l$ (5)

If $V' = 0$ and $A_{s} = 30000\,cm^{2}$ , then we find the critical value of the side length of the base is:

$30000-3\cdot l^{2} = 0$

$3\cdot l^{2} = 30000$

$l = 100\,cm$

Then, we evaluate this result in the expression of the second derivative:

$V'' = -600$

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

$V = 30000\cdot l - l^{3}$

$V = 2000000\,cm^{3}$

The largest possible volume of the box is 2000000 cubic meters.

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3 years ago

The spray from a lawn sprinkler makes a circle 40 feel in radius. What are the approximate diameter, circumference, and area of

Fittoniya [83]

Our first step is to figure out what formulas are needed for diameter, circumference, and area of a circle.

Diameter is simply twice the size of the radius so:
2 * radius = 2 * 40 feet = 80 ft.

Circumference = 2 * pi * radius = 80 ft * pi
If we say that pi = 3.14, then:
circumference = 251.2 ft.

Area = pi * radius^2 = pi * 1600 ft^2
Once again, if we assert pi = 3.14, then:
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3 years ago

What is the square root of s/16 simplified

GREYUIT [131]

It will be 16[tex] 16^{2} = 256

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