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3 years ago

HELP ME ASAP PLEASE

Mathematics

1 answer:

vfiekz [6]3 years ago

5 0

Answer:

144.44

Step-by-step explanation:

C = 2 x π x r . C = 2 x 3.14 x 23 = 144.44

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PLS HELP ASAP. IM TIMED

Gelneren [198K]

Answer:

9/17 = .529411...

8/45 = .17777 (the seven repeats)

17/9 = 1.8888 (the eight repeats)

16/90 = .17777 (the seven repeats)

While B and D both equal approximately 1.7. B is the simplified form, So B is the answer

Hope This Helps! Have A Nice Day!!

4 0

3 years ago

An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made

Lemur [1.5K]

Answer:

The dimension of box= $2ft\times 2ft\times 1ft$

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box= $lbh=x^2h$

$4=x^2h$

$h=\frac{4}{x^2}$

Now, surface area of box,A= $x^2+4xh$

$A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}$

$\frac{dA}{dx}=2x-\frac{16}{x^2}$

$\frac{dA}{dx}=0$

$2x-\frac{16}{x^2}=0$

$2x=\frac{16}{x^2}$

$x^3=8$

$x=2$

$\frac{d^2A}{dx^2}=2+\frac{32}{x^3}$

Substitute x=2

$\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0$

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h= $\frac{4}{2^2}=1 ft$

Hence, the dimension of box= $2ft\times 2ft\times 1ft$

5 0

2 years ago

Oatmeal is packaged in a cylindrical container, as shown in the diagram. The diameter of the container is 13 centimeters and its

aivan3 [116]

Hi there!

FACTS :

The formula for the volume of a cylinder is : V = $\pi$ × r² × h

STEPS TO ANSWER:

You have the diameter of the cylinder, which is 13cm.

In order to have the radius of the cylinder to put in our formula, you'll need to divide the diameter by 2 because the diameter is two times the radius:

13 ÷ 2 = 6.5

Now that you have the radius (6.5) and the height (24cm) of the cylinder, you can put these information in the formula and calculate de volume :

V = $\pi$ × r² × h

V = $\pi$ × 6.5² × 24

V = $\pi$ × 42.25 × 24

V = $\pi$ × 1,014

V = 3,185.574950......

Since you need to round your answer to the nearest tenth, which means that you will have only one decimal, the volume of the cylindrical container would be about 3,185.6cm³.

There you go! I really hope this helped, if there's anything just let me know! :)

5 0

3 years ago

Give an example of a pair of independent event.

Nutka1998 [239]

(me brushing my teeth) and (you going to school)

3 0

3 years ago

Urgent. Factor the trinomial by grouping. Please show work. 14x^2y+9xy^2+y^3. If prime, show how you got prime answer.

ch4aika [34]

Answer:

y x (2x +y) x (7x +y)

Step-by-step explanation:

14x^2y + 9xy^2 +y^3

(Factor the expression)

y x (14x^2 +9xy +y^2)

(Rewrite the expression)

y x (14x^2 + 7xy +2xy +y^2)

(Factor the expression)

y x (7x x(2x +y) + y x (2x +y) )

(Factor the expression)

y x (2x +y) x (7x +y)

:))

3 0

3 years ago