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grandymaker [24]
3 years ago
9

Missing product homework 9x2=ii=

Mathematics
1 answer:
FrozenT [24]3 years ago
8 0

Answer:

the answer is 19

Step-by-step explanation:

you have to multiply the two numbers

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The measure of an exterior angle of a regular polygon is 45. What is the interior angle and how many sides?
Brilliant_brown [7]

Check the picture below.

\bf \textit{sum of all exterior angles in a polygon}\\\\ n\theta = 360~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ 0=45 \end{cases}\implies n(45)=360\implies n=\cfrac{360}{45}\implies \stackrel{\textit{an octagon}}{n=8}

3 0
3 years ago
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
Cómo se simplifica 14+8?​
Alborosie

Answer:

ya esta simplificado, solamente simplificas los fracciones

Step-by-step explanation:

8 0
3 years ago
96g + 80f and explain
iragen [17]

Answer:

Combine Like Terms, Use Distributive Property Worksheet. Fact or Fiction: Factorials Have Nothing to Do With Factoring. Simplify. 1. 4xy + 3x2y - 3xy + 2x2y .

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Can anybody help me with this
zepelin [54]
Sorry no...............
4 0
3 years ago
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