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hodyreva [135]
3 years ago
5

The area of the rectangular faces of the box are shown . What is the volume of the box

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0
Label the 3 distinct sides of the box.  I arbitrarily chose the letters a, b and c.
Use the info about areas as follows:

ab=54 in^2
ac=90 in^2
bc=60 in^2

Here you have 3 equations in 3 unknowns (a, b and c), which is enough info to use to determine a, b and c.  Then the volume of the box is a*b*c.

Example:  bc = 90, but c = 60/b.  You could subst. 60/b for c in the 2nd and 3rd equation, which will eliminate c completely and leave you with 2 equations in 2 unknowns.

Continuing this procedure, I determined that a=9, b=6 and c=10.  Thus, the volume of the box is V = 9*6*10 = 540 cubic inches (answer)

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What is the answer to this equation
GuDViN [60]
(-72×-11) / (-7x-48) =

792 / 336 = 2.36

or the fraction in simplest terms is 33 / 14
5 0
3 years ago
What is the slope of the line with points (-5, -4) and (2, 7)?
jolli1 [7]

Answer:

m = 11/7

Step-by-step explanation:

m = y2-y1/x2-x1

m = 7-(-4)/2-(-5)

m = 7+4/2+5

m = 11/7

6 0
3 years ago
You are taking a​ multiple-choice test that has 55 questions. each of the questions has 33 answer​ choices, with one correct ans
siniylev [52]
<span>Each question has 5 possible choices for an answer>
1st question: 5 ways
2nd question: 5 ways
.......
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Total # of possible answers 5*5*5...*5*5 = 5^12 = 244,140,625
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Cheers,
Stan H.
========================= 
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5 0
3 years ago
Can someone help me please and explain.
exis [7]
[This question is such you will not understand a thing without your involvement as well. So follow my step and check by yourself]

First plot both functions on graph (this you gotta do yourself and check because only then you will learn)

How you plot the function?

f(x)=-3x³+5x-5

Put y=f(x)

y=-3x³+5x-5➡eqn(1)

So note the corresponding values of y on putting different values of x in that function.

I'll show u:

When x=0,y=-5 [calculate yourself it's easy just put x=0 and find value of y in eqn(1)]

Similarly,

x=1,y=-3

x=2,y=-19

[Similarly put x=-1,-2..and find corresponding y]

So you got points (0,-5),(1,-3),(2,-19)...plot these points and you have successfully plotted f(x).

Same process for plotting function g(x)....at least 6 points must be plotted.

❇After plotting f(x) and g(x):

1)check by yourself if they have same y-intercept (which is the distance between origin and the point of intersection of y-axis and the curve/line)

2) To check if they have same behavior or not,

increase the value of x[ie,1,2,3...] and note the corresponding value of y in function f(x) . Then decrease value of x[ie,-1,-2,-3..] and note corresponding value of y [note that y means function or f(x)]

Suppose f(x) has following end behavior:

When x increases f(x) tends to decrease

and when x decreases f(x) tends to increase

Now find end behavior of g(x) also..and if above end behavior matches with g(x), they will have same end behavior.

3) check by yourself by looking in plotted graphs of f(x) and g(x) whether they have at least one x-intercept or not.

4)g(x) is even function but f(x) is odd function.

So, g(x) is symmetrical over y-axis but f(x) is not.

5) Actually most of the algebraic polynomial functions don't show periodicity(but trigonometric and exponential function do). You can check by yourself by looking in plotted graph. If graph seems to be repeating same behavior it is periodic otherwise not. I am sure the given functions are not periodic. {Plz google periodic function if you want to know more}
3 0
3 years ago
2. What is the solution to the inequality<br> --4x &gt; 132? Show your work
laila [671]

Answer:

x < -33 ( mark me as the brainliest )

Step-by-step explanation:

1) -4x > 132

2) -4x/4 > 132/-4

3) x < -33

5 0
3 years ago
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