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2 years ago

6

)What conclusion can be determined from the dot plot below?

1 answer:

satela [25.4K]2 years ago

3 0

Answer:

the mean of the data set is 15, i hope this helped you :))

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The drawing shows Seth's plan for a fort in his backyard. Each unit square is 1 square foot.

barxatty [35]

Dyjfuncufgysfsrsycyfydtxyyfyd

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3 years ago

A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h a

kkurt [141]

Answer:

$b=h=\sqrt{6}$ m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

Material used in constructing of box=36 square m

We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box= $2b^2+4bh$

$2b^2+4bh=36$

$b^2+2bh=18$

$2bh=18-b^2$

$h=\frac{18-b^2}{2b}$

Volume of box, V= $b^2h$

Substitute the values

$V=b^2\times \frac{18-b^2}{2b}$

$V=\frac{1}{2}(18b-b^3)$

Differentiate w. r.t b

$\frac{dV}{db}=\frac{1}{2}(18-3b^2)$

$\frac{dV}{db}=0$

$\frac{1}{2}(18-3b^2)=0$

$\implies 18-3b^2=0$

$\implies 3b^2=18$

$b^2=6$

$b=\pm \sqrt{6}$

$b=\sqrt{6}$

The negative value of b is not possible because length cannot be negative.

Again differentiate w.r.t b

$\frac{d^2V}{db^2}=-3b$

At $b=\sqrt{6}$

$\frac{d^2V}{db^2}=-3\sqrt{6}$

Hence, the volume of box is maximum at $b=\sqrt{6}$ .

$h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}$

$h=\frac{18-6}{2\sqrt{6}}$

$h=\frac{12}{2\sqrt{6}}$

$h=\sqrt{6}$

$b=h=\sqrt{6}$ m

7 0

3 years ago

You start driving north for 24 miles, turn right, and drive east for another 10 miles. At

Gelneren [198K]

Answer:

26 miles.

Step-by-step explanation:

To solve this problem, the Pythagorean theorem must be applied, which states that the hypotenuse squared of every right triangle is equal to the sum of its squared legs, that is, A^2 + B^2 = C^2 .

Therefore, applying this formula, to determine the distance in a straight line from the starting point to the driving end point, the following calculation must be performed:

24^2 + 10^2 = X^2

576 + 100 = X^2

√676 = X

26 = X

Thus, the distance between the two points is 26 miles.

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2 years ago

A proposed new ride at Disneyland is a Ferris wheel that goes partially undergrand. A preliminary design idea is for the passeng

Drupady [299]

Height above ground (in feet) = 10 [ 1 - 3 cos (9t degrees) ]

't' is the time, in seconds, after you sit down and the wheel starts turning.

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3 years ago

Need Help ASAP On This question! I'm completely clueless. Will Mark Brain

lianna [129]

ML would be 2.5 because M is the bisector, splitting those 2 sides into congruent sides.

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3 years ago

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