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olga_2 [115]
3 years ago
7

What is the greatest volume you can make with a rectangular prism that has a surface area of 20 square units.

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

A cube has the maximum volume amongst rectangular prisms with the same surface area. So, a cube with a surface area of 20 square units has six sides that each have an area of 10/3 square units. The square root of 10/3 gives us the length of each side.

Step-by-step explanation:

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igor_vitrenko [27]
4(5)+4(3)+3(2)=$38 total cost =$38
7 0
3 years ago
Fill in the blanks □+0=3/4.also mention the property used.
Dafna1 [17]

Answer:

3/4 + 0 = 3/4 Additive Neutral Property

Step-by-step explanation:

3 0
3 years ago
Which relation is also a function?
slavikrds [6]

Answer:

Hi san, A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to. For example, consider the following sets X and Y.

This should help you a bit.

6 0
3 years ago
Find the average value of the function f(x)=−4sin(x) on the interval [π2,3π2] and determine a number c in this interval for whic
Ber [7]

Answer:

Step-by-step explanation:

The average value theorem sets:

if f (x) is continuous in [a, b] and derivable in (a, b) there is a c Є (a, b) such that

\frac{f(b)-f(a)}{b-a}=f'(c) , where

f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4

f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4

\frac{4-(-4)}{(3\pi/2)-(\pi/2)}=f'(c)

\frac{8}{\pi }=f'(c)

f'(x)=-4cos(x) ⇒

f'(c)=-4cos(c)=\frac{8}{\pi }\\c=acos(\frac{-2}{\pi })\\

c≅130

8 0
3 years ago
What is the factor of y^3-9y^2+y-9=0​
Mariana [72]

Answer:

Step-by-step explanation:Factor the left side of the equation.

Tap for more steps...

(

y

−

1

)

(

y

2

+

9

)

=

0

Set  

y

−

1

equal to  

0

and solve for  

y

.

Tap for more steps...

y

=

1

Set  

y

2

+

9

equal to  

0

and solve for  

y

.

Tap for more steps...

y

=

3

i

,

−

3

i

The solution is the result of  

y

−

1

=

0

and  

y

2

+

9

=

0

.

y

=

1

,

3

i

,

−

3

i

8 0
3 years ago
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