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Leokris [45]
3 years ago
12

The figure below is made of two triangular prisms. What is the volume of the figure?

Mathematics
2 answers:
stich3 [128]3 years ago
8 0

Answer:

1792

Step-by-step explanation:

tia_tia [17]3 years ago
7 0
It’s the second one!
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Define perpendicular bisector
Maksim231197 [3]
My guess would be A, but I may be wrong
8 0
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Read 2 more answers
Please answer....writing assignment for math
Ivanshal [37]

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This information tells me that f equals a number and 3 multiplied by the number that f equals is 16.

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7 0
3 years ago
Enter the missing numbers in the boxes to complete the table of equivalent ratios of time to distance.
andre [41]
Answer:  Here is the complete table, with the filled in values:
______________________________________________________________
Time (h)    Distance (mi)
    3                2 
    9                6
   12                8
   18               12
___________________________________________________

Explanation:
___________________________________________________
Let us begin by obtaining the "?" value; that is, the "distance" (in "mi.") ;
         when the time (in "h") is "18" ; 
___________________________________________________

12/8 = 18/?  

Note: "12/8 = (12÷4) / (8÷4) = 3/2 ;

Rewrite:  3/2 = 18/? ;  cross-multiply:  3*? = 2 * 18 ; 
                                                                        3*? = 36 ;

                                                                      Divide each side by "3" ;
                                                                            The "?" = 36/3 = 12 ;

So, 12/8 = 18/12 ;

The value: "12" takes the place for the "?" in the table for "distance (in "mi.);
                              when the "time" (in "h") is "18".
__________________________________________________________
Now, let us obtain the "? " value for the "distance" (in "mi.");
                when the "time" (in "h") is:  "9" .

12/8 = 9/? ;  Solve for "?" ;

We know (see aforementioned) that "12/8 = 3/2" ; 

So, we can rewrite:  3/2 = 9/? ;  Solve for "?" ; 

Cross-multiply:  3* ? = 2* 9 ;    3* ? = 18 ;  
                                                           Divide each side by "3" ;
                                                    to  get:  "6" for the "?" value.

When the time (in "h") is "9", the distance (in "mi.") is "6" .
____________________________________________________
Now, to solve the final "?" value in the table given.

9/6 = ?/2 ;  Note:  We get the "6" from our "calculated value" (see above problem). 

9/6 = (9÷3) / (6÷3) = 3/2 ;  

So, we know that the "?" value is:  "3" .

Alternately:   9/6 = ?/2 ; 

Cross-multiply:  6*? = 2*9 ;   6 * ? = 18 ;  Divide each side by "6" ;
                                                               to find the value for the "?" ; 
                                                                    "?" = 18/6 = "3" .

When the "distance" (in "mi.") is:  "2" ;  the time (in "h") is:  "3" .
____________________________________________________
Here is the complete table—with all the values filled in:
____________________________________________________

<span>Time (h)    Distance (mi)
____________________________________________________
    3                2 
    9                6
   12                8
   18               12
____________________________________________________
</span>
6 0
3 years ago
Investigate the existence of a extrema value, what does the markered part mean?
OLga [1]

Answer: We have

f'(x) = a x + b,

f'(x) = 0 at x = -b/a

f(x) = a x^2 / 2 + b x + c


Meaning of marked part


❟ ∵ a<0 ❟ f is a quadratic function

∴ f has absolute maximum value at x = -b/a


For all a with a less than zero, f is a quadratic function. Therefore f has a global maximum at x = -b/a


That typesetting seems very sloppy. It probably is supposed to be


∀a < 0, f is a quadratic function.


The second sentence is sloppy in use of "absolute". It can't mean absolute value, so presumably it means "global".


Sometimes a minimum or maximum is only local, but a quadratic function has exactly one extrema, and it is global. And if a < 0, the extrema is a global maximum.


Step-by-step explanation:


An extrema (minimum or maximum) for f(x) occurs only where f'(x) = 0, that is, when the slope of the tangent at x is zero.


But if the function crosses its tangent at that point, the point is an inflection point, not an extrema. A quadratic never crosses it's tangent.


5 0
3 years ago
What is the area in square units of triangle ABC<br> if a = 32, b = 19, and C = 55°?
sergeinik [125]

Answer: 249 m^2

Step-by-step explanation:

7 0
3 years ago
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