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Lapatulllka [165]
4 years ago
8

Simon offered a customer a cubic box with 3-inch sides. The customer told Simon to increase each side of the box by an inch. Wri

te the volume of the new box and explain how you found your answer.
Mathematics
2 answers:
atroni [7]4 years ago
7 0

Answer:

64\ in^3

Step-by-step explanation:

The volume of a cubic box with side length of s inches can be calculated using formula

V_{box}=s^3\ in^3.

If the initial side length was 3 inches and the customer told Simon to increase each side of the box by an inch, then the new side length became

3+1=4\ in.

Thus, the volume is

V_{box}=4^3=64\ in^3.

aalyn [17]4 years ago
3 0

Answer:

The volume of the new box is 64 cubic inches. If each side of the box was increased by 1 inch, the new measure of each side would be 4 inches. 4 times 4 times 4 equals 64.

Step-by-step explanation:

Its the sample response

:) hope this helps

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Does the following represent direct variation? If yes, find the constant variation
svlad2 [7]

y/x =k

13/9 = 1.4444444

39/27=1.4444444

104/72=1.4444444

k =13/9  = 1 4/9

this is direct variation with a constant of 13/9 or 1  4/9

7 0
3 years ago
Zhen is an audiobook narrator. The table gives some completed audio lengths and the amount of time Zhen spends researching, reco
mestny [16]

Answer:

c. Zhen spends 6 1/2 hours working per audiobook.

Step-by-step explanation:

The table below gives some completed audio lengths and the amount of time Zhen spends on the audiobook.

\left|\begin{array}{c|c}$Completed length of audiobook (hours) &$Working time (hours)\\---------&--------\\1&6\frac{1}{2} \\\\3\frac{1}{2}&22\frac{3}{4}\\\\7&45\frac{1}{2}\\\\10&65\end{array}\right|

We observe that from the table, in 6.5 hours, Zhen completes 1 audiobook.

In fact, across the table:

\dfrac{6\frac{1}{2}}{1}=\dfrac{22\frac{3}{4}}{3\frac{1}{2}}=\dfrac{65}{10}=6\dfrac{1}{2} $ hour per audiobook

Therefore, in this situation, 6.5 hours mean that Zhen spends 6.5 hours working per audiobook.

The correct option is C.

5 0
3 years ago
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In a rhombus with a side of 34, the longer diagonal is 26. Find, to the nearest degree, the
Ber [7]
<span> the diagonals bisect each other, then 1/2 the longer diagonal is 13 
So, (13/34) represents 1/2 of the angle that the larger diagonal bisects. The angle would be approximately 2*67, or 134°</span>
8 0
4 years ago
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It takes 2/12 posters board to display half of your project.how many posters board will you need for you entire projects
blagie [28]
To get the full project, we can multiply by two.

2/12 x 2 = 4/12

This can be simplified

4/12 = 2/6 = 1/3

So the entire project will need 1/3 of the poster board.
4 0
4 years ago
A sequence of two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH
Burka [1]

Two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH : <u>rotation -90° and translation (0,2)</u>

<h3>Further explanation</h3>

There are several forms of transformation, including translation, dilation, rotation or reflection

There are 2 shapes of geometry:

Similar figures:

the same shape but different in size,

Congruent figures:

the same size and the same shape

Both polygons will appear congruent if, after being transformed, the two polygons will map exactly to each other

A sequence of two transformations e can do is :

1. rotation -90°

Let point H(4,1) from polygon GFJIH , we rotate -90°

\left[\begin{array}{ccc}x'\\y'\end{array}\right]=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4-6\\1+1\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}-2\\2\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}8\\1\end{array}\right]

2. translation (0,2)

\left[\begin{array}{ccc}8\\1\end{array}\right]+\left[\begin{array}{ccc}0\\2\end{array}\right]=\left[\begin{array}{ccc}8\\3\end{array}\right]

<h3 /><h3>Learn more</h3>

brainly.com/question/13715226

Keywords: transformation, translation, rotation

#LearnWithBrainly

7 0
3 years ago
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