Answer:
x =15 + 30n
Step-by-step explanation:
8cos(12x)+4=-4
Subtract 4 from each side
8cos(12x)+4-4=-4-4
8cos(12x)=-8
Divide by 8
8/8cos(12x)=-8/8
cos(12x) = -1
Take the arccos on each side
arccos(cos(12x)) = arccos(-1)
12x = 180 degrees
But we can go around in a circle of 360 and get the same result
12 x = 180+360n where n is an integer
Divide each side by 12
x = 180/12 +360n/12
x =15 + 30n
Answer:
b. cosine t less than 0 and cotangent t greater than 0
Step-by-step explanation:
We have the following relation
if we apply the cosine function in the relation we get:
the cosine of t is between 0 and -1 then (cosine t less than 0)
If we now apply cotangent function in the relation:
This means that cotang is greater than 0, therefore the correct answer is b. cosine t less than 0 and cotangent t greater than 0
x2 +3x-40= x2+8x-5x-40=x(x+8)-5(x+8)=. (x+8) (x-5).
1) The triangles are congruent by SSS.
The two tick marks indicate two pairs of congruent sides; it is evident that the third side is congruent by the way the diagram is drawn - the bases of the triangles are together and appear to be the same length.
2) The triangles are congruent by SAS.
The two pairs of tick marks indicate congruent sides, and their included angles are congruent because they are vertical angles, and vertical angles are always congruent.
so... you tells us, which filling rate is the bigger and thus faster one?