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3 years ago

Please help 20 points

Mathematics

1 answer:

stich3 [128]3 years ago

6 0

Answer:

Step-by-step explanation:

wekk you can look and see ther is a plot and it is labled. look at where there are specifically labled at and look at the formula it says the age. the formula is really important. look at how mant websites visited and that will get you your awnser, 12 is the first one look at the amont of units in where the dots are

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MrRissso [65]

It is 140 degrees. You set the two equations equal to each other and you solve for x. After that, you can plug it into the first equation and get the answer. In this case, X is equal to 4.

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3 years ago

a box with a square base and open top must have a volume of 70304 c m 3 cm3 . we wish to find the dimensions of the box that min

Dmitriy789 [7]

The box should have base 52 cm by 52 cm and height 26 cm.

What is volume?

A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.

The Volume of a box with a square base x by x cm and height h cm is

$V = x^2h$

Since the surface area directly affects the amount of material used, we can reduce the amount of material by reducing the surface area.

The surface area of the box described is $A = x^2 + 4xh$

We need A as a function of x alone, so we'll use the fact that

$V = x^2h= 70304 cm^3$

⇒ $h = \frac{70304}{x^2}$

So, the area becomes,

$A = x^2+4x(\frac{70304}{x^2})\\ A = x^2 + \frac{281216}{x}$

We want to minimize A, so

$A' = 2x - \frac{281216}{x^2} =0\\\frac{2x^3-281216}{x^2}=0\\ {2x^3-281216} = 0\\x^3 - 140608=0\\x^3 = 140608\\x = 52$

The second derivative test verifies that A has a minimum at this critical number:

$A'' = 2+\frac{562432}{x^3}$ which is positive at x = 52.

Now,

$h = \frac{70304}{x^2}= \frac{70304}{(52)^2}=26$

Hence, The box should have base 52 cm by 52 cm and height 26 cm.

To know more about volume, click on the link

brainly.com/question/463363

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8 0

2 years ago

What is the distance between (-6,0) and (5,3)?

Dmitriy789 [7]

Answer:

$\sqrt{130}$ or 11.4

Step-by-step explanation:

Use the distance formula:

d = $\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

Plug in the points:

d = $\sqrt{(-6 - 5)^2 + (0 - 3)^2}$

Simplify:

d = $\sqrt{(-11)^2 + (-3)^2}$

d = $\sqrt{121 + 9}$

d = $\sqrt{130}$

= approximately 11.4

So, the distance is $\sqrt{130}$ or approx. 11.4

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3 years ago

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4 years ago

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You start driving west for 20 miles, turn left, and drive south for another 14 miles. At the end of driving, what is your straig

sdas [7]

By using these measurements and drawing out a triangle, you have two sides “a” and “b” and are trying to find “c”. using pythagorean theorem you can determine that “a^2 + b^2 = c^2”. plug in your distances (20 and 14) and you get 24.4 as your distance.

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2 years ago