you want to create a box that can hold at the very longest a 4in object. find the dimensions of a box that will work

Answers

Answer 1
Answer:
If you were working with a flat rectangle and you were given the diagonal,
you'd want to use the Pythagorean theorem to choose two sides whose
squares would add up to the square of the diagonal.

It works exactly the same with a 3-D box.  We need three dimensions for
the box, whose squares add up to the square of the diagonal between
opposite corners.  That's (4)² = 16.

So (L)² + (W²) + (H²) = 16 . From there, you're completely free to pick any
numbers you want, just as long as their squares add up to 16.  There are
an infinite number of possibilities.  Here are a few:

1 x 1 x √14

1 x 2 x √11

2 x 2 x √8

2 x 3 x √3

1 x 3 x √6


Answer 2
Answer: 4×4×4 hope i help have a great day

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Find Each Product Simplify
( x ^ 2 + 9 ) ( x + 3 ) ( x - 3)HELP ME PLEASE!

Answers

(x^2+9)(x+3)(x-3)=(x^2+9)(x^2-9)=x^4-81
Have a nice day!!! ^^

A pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought?1.5x + y = 12
x = 9y

x + 1.5y = 12
x + y = 9

x + 9y = 12
x = 1.5y

9x + y = 12
x = 1.5y

Answers

The system of equations that represents the given statements is

x + 1.5y = 12

x + y = 9

Where x is the number of pencils and y is the number of pens that Shawn bought.

How to write an equation for a statement?

To write an equation:

  • Observe the variableterms from the given statement
  • Add/subtract required terms according to the word's 'total or difference' given in the statements
  • Multiply/divide required terms according to the words 'more or less given the statements
  • Equate with the respective values related to the variable term.

Calculation:

Given that,

A pencil at a stationery store costs - $1

and A pen costs - $1.50

Shawn spent $12 at the store. He bought a total of 9 items.

So,

Consider number of pencil = x and number of pens = y

Since he bought a total of 9 items, we can add the number of pencils and pens and equate the sum with 9

I.e., x + y = 9 ...(i)

We have cost for a single pencil and a single pen

So, to get the cost for the total number of pencils and pens that he bought, multiply the cost of a single one by the number of pencils and pens. I.e.,

1 × x and 1.50 × y

Since it is given that he spent $12 for both pencils and pens, we can write

x + 1.5 y = 12  ...(ii)

Thus, from equations (i) and (ii), the system we can write

x + 1.5 y = 12

x + y = 9

So, option 2 is the correctset of equations for the given system.

Learn more about writing equations from words here:

brainly.com/question/11567221

#SPJ2

I would go with the second answer

Jonathan has a collection of 400 marbles. Blue marbles make up 17%, percent of his collection. How many blue marbles does Jonathan have?

Answers

17% of 400
percent means parts ou of 100
17%=17/100
'of' means mutiply

17/100 tiems 400=4*17=68

68 blue marbles
To find any percentage of something, just multiply the whole value by the percentage of whatever you're trying to find the value of. 
17% converted to a decimal is 0.17. 400*0.17 = 68.
Jonathan has 68 blue marbles in his collection.
Hope that helped you!

Graph x2 + y2 = 9. What are its lines of symmetry?

Answers

            Equation given in the question represents a circle.

            Therefore, there will be infinite lines of symmetry.

Line of symmetry of a figure:

  •  Line of symmetry of a figure is the line over which half of the figure overlaps the other half.

Given in the question,

  •  Graph represented by the equation → x² + y² = 9

Equation given in the question is in the form of

(x-0)^2+(y-0)^2=3^2

Since, general equation of a circle is given by,

(x-h)^2+(y-k)^2=r^2        

Therefore, given equation represents a circle.

By definition, a circle has infinite lines of symmetry passing through the center.

      Therefore, given equation will have infinite lines of symmetry.

Learn more about the lines of symmetry here,

brainly.com/question/1968732?referrer=searchResults

Answer:

It has infinitely many line of symmetry. All diameters are line of symmetry.

Step-by-step explanation:

Given: Equation is x² + y² = 9

To find: line of symmetry of given equation

Given equation is the equation of circle.

x² + y² = 9

re write,

(x-0)² + (y-0)² = 3²

by comparing given equation with standard equation of circle ,

(x-h)² + (y-k)² = r²

we get, h = 0 , k = 0 , r = 3

Centre of circle = ( 0 , 0 ) and radius of circle = 3 unit

Since It is a circle. so it has Infinitely many line of symmetry

Also, All diameters of this circle are line of symmetry for this circle.

Some equation of line of symmetry,

x-axis : y = 0

y-axis : x = 0

I had 33 pictures from summer camp. I gave three pictures away to friends and I plan to divide the remaining pictures evenly between five pages of the photo album .which equation could I use to find how many pictures will be on each page

Answers

33-3=30
30/5=6
There would be 6 pictures on each page

Answer:

33-3 = 30

30 ÷ 5 = 6

Step-by-step explanation:

Match the sequence with the correct indicated term.

1)a1 = -4, d= -9, n=20
2)a1 =20, d=4, n=81
3)a12 for 8,3,-2,...

Answers
A)340
B)-47
C)-175
D)94

*PLEASE EXPLAIN*

Answers

1) an = a1 + d*(n-1) => a20 = -4 + (-9)*19 = -4 - 171 = - 175
1) ---> C)

2) a81 = 20 + 4*80 = 340;
2) ---> A)

3) a12 = ?
3) ---> B) or D).