Answer:
F = 25
Step-by-step explanation:
Euler's formula for polyhedra states that
F + V - E = 2
Here V = 11, E = 34, thus
F + 11 - 34 = 2
F - 23 = 2 ( add 23 to both sides )
F = 25
Answer:
2.55 2.56 2.57
Step-by-step explanation:
6
To solve this problem, you need to divide the total number of students going on the field trips with the number of students in each group.
44/7
= 6 R 2
Since, I assume there can <em>only</em> be groups of 7, the answer is 6.
Answer:
x={-3/2,-13/2}
Step-by-step explanation:
3-2|x+4|+3=1
-2|x+4|+6=1
-2|x+4|=-5
|x+4|=5/2
x+4=5/2
x+4=-5/2
x=5/2-4
x=-3/2
x=-5/2-4
x=-13/2
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>
