Answer:
8
Step-by-step explanation:
3+5=8
Two numbers that add up to -19 and multiply to 48 are -16 and -3:

So, the solutions come from each parentheses: x+4=0, x-4=0, and x^2-3=0.
x+4=0
x = -4
x-4=0
x = 4
x^2-3=0
x^2 = 3
x = +/- √3
So, the solutions are -4, -√3, √3, and 4.
Answer:
m = -3
Step-by-step explanation:
-2m=6
Divide both sides by (-2).
m = 6 ÷ (-2)
m = -3
Answer:
13.41 cm
Step-by-step explanation:
The radius, height, and HALF of vertical angle makes a triangle.
Where
Radius will be the base of the triangle
Height will be the "height" of the triangle
Top angle will be HALF of vertical angle (40/2 = 20)
From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.
<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>
Tan(20) = opposite/adjacent
Tan(20) = 30/h
h = 30/Tan(20)
h = 13.41
So
The height of the cone would be around 13.41 cm
Supplementary angles are two angles which sum up to 180 degrees while complementary angled are those the sum is 90 degrees. Therefore, the complementary of 41.4 is 90-41.4 = 48.6 and the supplement would be 180-41.4= 138.6.