Answer:
Step-by-step explanation:
x2 - 4x - 12 = 0
x2 - 6x + 2x - 12= 0
x(x - 6) + 2(x - 6) = 0
x + 2 = 0
x = - 2
x - 6 = 0
x = 6
Answer:
x = 135 degrees
Step-by-step explanation:
For any simple n-gon, the sum of the interior angles is 180(n − 2) degrees. (n is the number of vertices)
180(6-2)=180(4)=720
the shape already has 2 90-degree angles, subtract both of those from total interior angle sum
720-90-90=540
the 4 angles left must make up 540 degrees
540/4=135
x=135 degrees
Answer:
, the third one
Step-by-step explanation:
Explaining the sine function:
The sine function is defined by:
In which A is the amplitude, 
is the period, 
is the horizontal shift and V is the vertical shift.
So, in your problem:
The amplitude is 4, so A = 4.
The period is 
, so 
.
There is no horizontal shift, so 
.
The vertical shift is −3, so V = -3.
The sine function that represents these following conditions is
, the third one
Answer:
Suppose we have a total of 16 drummers.
for the first pattern we have 2 drummers in each row, this means that we have a total of 16/2 = 8 rows.
Now, for the second pattern, we have 4 times as many in each row, so we have 4*2 = 8 drummers in each row, then we have 16/8 = 2 rows.
You can see that in each pattern we have the same number of drummers, but a different number of rows.
Now, we only can do this if the total number of drummers is a multiple of 8 (because in the second part we want 8 drummers in each row, so if we want that the numbers of rows to be a whole number, then we must have that the total number of drummers is a multiple of 8)
Area of one square of the cube= 1/2*1/2 inch
=1/4inch
