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koban [17]
3 years ago
15

Help, I really, really need help, just for anyone to know Im crying while saying this, jk but please help me

Mathematics
2 answers:
Alex73 [517]3 years ago
8 0

Essentially, the volume of a cube is side times side times side. In other words, we just have to find the cube root of 8, which is 2. Option B is the answer.

ollegr [7]3 years ago
7 0

Answer:b.2

Step-by-step explanation:

edge=V^⅓ so 8^⅓

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Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 23 in. by 13 in. by
faltersainse [42]

Answer:

The dimension of the box is 17.66 in by 7.66 in by 2.67 in.

Therefore the volume of the box is 361.19 in^3.

Step-by-step explanation:

Given that the dimensions of a cardboard is 23 in by 13 in.

Let the side of the square be x in.

Then the length of the box= (23-2x) in

and the width of the box =(13-2x) in

and height = x in.

The volume of the box is = length ×width × height

                                         =[(23-2x)(13-2x)x] in^3

                                         =(299x-72x² +4x^3) in^3

∴V=299x-72x² +4x³

Differentiating with respect x

V'= 299-144x+12x²

Again differentiating with respect x

V''= -144+24x

To find the dimensions, we set V'=0

∴299-144x+12x²=0

Applying Sridharacharya formula that is the solution of a quadratic equation ax²+bx+c is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Here a=12, b=-144 , c=299

\therefore x=\frac{-(-144)\pm\sqrt{(-144)^2-4.12.299}}{2.12}

\Rightarrow x= 9.33, 2.67

If  we take x=9.33 in, then the width of the box [13-(2×9.33)] will negative.

∴x = 2.67 in

If at x = 2.67, V''<0 , then the volume of the box will be maximum or V''>0 then volume of the box will be minimum.

V''|_{x=2.67}=-144+(24\times 2.67)=-79.92

Therefore  at x = 2.67, the volume of the box maximum.

The length of the box =[23-(2×2.67)] in

                                    =17.66 in

The width of the box =[13-(2×2.67)] in

                                  =7.66 in

The height of the box= 2.67 in

The dimension of the box is 17.66 in by 7.66 in by 2.67 in.

Therefore the volume of the box is =(17.66×7.66×2.67) in^3

                                                            =361.19 in^3

8 0
3 years ago
Convert the following angle from degrees to radians. Express your answer in simplest form 345 ∘
postnew [5]

well, since we know that there are 180° in π radians, how many degrees will it be in 345°?

\begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ 345&x \end{array}\implies \cfrac{180}{345}~~ = ~~\cfrac{\pi }{x}\implies \cfrac{12}{23}~~ = ~~\cfrac{\pi }{x} \\\\\\ 12x=23\pi \implies x=\cfrac{23\pi }{12}

8 0
2 years ago
Can someone please help me with number 5? please
UNO [17]
\frac{4n^2c^5}{8nc^4}=\frac{4nc^4(nc)}{4nc^4(4)}=\frac{nc}{4}
6 0
3 years ago
Read 2 more answers
Draw two segments. How many common points is it possible for the segments to have? Explore all possibilities.
Arte-miy333 [17]

A segment is bounded by two endpoints.

The two segments can have up to two common points

Assume the line segments are AB and CD where the length of AB is greater than the length of CD.

<u>The possibilities are:</u>

  • <em>A point of segment CD lies on segment AB</em>
  • <em>Both points of segment CD lie on segment AB.</em>

<em />

See attachment for both possibilities.

Hence, it is possible for the two segments to have two common points.

Read more about line segments at:

brainly.com/question/18983323

7 0
3 years ago
a conical tent is made of canvas that has a base that is 34 feet across and a slant height of 12 feet to the nearest whole unit
kogti [31]
The lateral area is π r ℓ units² 

<span>The base is 20 feet across so the radius is 10 feet </span>

<span>Multiply 3.14 × 10 × 14 </span>

<span>3.14 × 10 = 31.4 </span>

<span>31.4 × 14 = 31.4 × 10 + 31.4 × 4 </span>
<span>= 314 + 120 + 4 + 1.6 </span>
<span>= 434 + 5.6 </span>
<span>= 439.6</span>
8 0
3 years ago
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