1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Novay_Z [31]
3 years ago
7

Consider a box with a square base that has a volume of 64 cubic inches and a height of 4 inches. What is the volume of a similar

box whose square base has an area of 4 square inches?
Mathematics
1 answer:
Otrada [13]3 years ago
4 0
We know that the square base of the new box is 4 sq. in. This means that each side has to equal 2 in., because A = l*w and 4 = 2x2; we also know that since it is a square, both sides have to be equal, so it must be a 2x2 square and not a 4x1 rectangle.

That being said, the first box had dimensions of 4x4x4 - and this is confirmed by the volume being 64 sq. in. and the height being told to us as 4 in. as well as the square base having to have equal sides.

Because of this, since the question states "similar," all of the dimensions have to be reduced by the same factor. Since the square base was reduced by 1/2, we can assume the height is also reduced by 1/2, thus giving us a height of the new box as 2 in.

So, the volume of the new box is 2x2x2, which equals 8 sq. in.
You might be interested in
When calculating total savings you must
Art [367]
Subtract 10 evertime cuz that s taxes
5 0
3 years ago
Read 2 more answers
Please help me asap!
Artemon [7]

Answer:   1. ∠A= 80.75°  2. 41.79 cm^2

Step-by-step explanation:

Since, According to the sines low,

\frac{sin A}{CB} = \frac{sin C}{AB}

Here, CB= 4.1 cm,  AB = 3.3 and ∠ C = 52.6°

\frac{sin A}{4.1} = \frac{sin 52.6}{3.3}

⇒ sin A = 4.1\times\frac{sin 52.6}{3.3}

⇒  sin A =0.98699998308

⇒ A = 80.75°

2. Since, the area of the given figure = Area of the rectangle having dimension 8.3 × 4.2 + Area of the half square of radius 2.1

=34.86 + 6.93

= 41.79 square cm

4 0
3 years ago
Im lost and I don’t understand what’s going on
andrezito [222]
Same sorry I can’t help
6 0
3 years ago
Read 2 more answers
Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the cost fu
Elina [12.6K]

A viable argument showing how it is reflected by the Cost Function for Wichita’s factory is; The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

<h3>How to Interpret Cost Functions?</h3>

From the given options, the best statement is;

The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

A cost function is a formula used to predict the cost that will be experienced at a certain activity level. Thus, the cost function for the best option is;

The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

The missing options are;

___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.

___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

___ Overtime wages were required to produce at levels above 25,000 units.

Read more about Cost Functions at; brainly.com/question/14038368

#SPJ1

7 0
1 year ago
What’s the slope of 10,6 and 4, 1.2
Kruka [31]

let's firstly change the 1.2 to a fraction

1.\underline{2}\implies \cfrac{12}{1\underline{0}}\implies \cfrac{6}{5} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{\frac{6}{5}}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{6}{5}}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{10}}}\implies \cfrac{~~ \frac{6-30}{5}~~}{-6}\implies \cfrac{~~ \frac{-24}{5}~~}{-6}\implies \cfrac{~~ -\frac{24}{5}~~}{-\frac{6}{1}}

-\cfrac{\stackrel{4}{~~\begin{matrix} 24 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{5}\cdot -\cfrac{1}{\underset{1}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \boxed{\cfrac{4}{5}}

4 0
2 years ago
Other questions:
  • If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2
    12·1 answer
  • Gcf of 147x^7,-21^8,3x^9
    6·1 answer
  • What property is m+7=7+m
    13·1 answer
  • An SRS of 27 students at UH gave an average height of 5.6 feet and a standard deviation of .1 feet.Construct a 90% confidence in
    13·1 answer
  • Multiply: (5 ft 6 in) × 4
    8·1 answer
  • (CEFET – MG) Sendo , a metade do valor de y valeA)
    14·1 answer
  • the sum of three numbers is 131. The second of three numbers is seven more than twice the first. The third number is 12 less tha
    7·1 answer
  • The cost of renting a car for a day is given by the linear function C(x)=0.07x+39,where C(x) is in dollars and x is the number o
    11·1 answer
  • In a Gallup Poll in 2003, 590 of 1,116 randomly selected adults aged 18 and older said they had too little time for relaxing or
    6·1 answer
  • 3x - 5 = -14 <br><br> What does X equal?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!