The angle right above 4x is equal to x
and 4x + x = 180
5x = 180
/5 /5
x = 36
Answer:
7.5
Step-by-step explanation:
Answer:
Hemisphere radius = 3 inch
Sphere volume = 4/3 • π • radius^3
Sphere volume = 4/3 • π • 27
Sphere volume = 113.0973355292 cubic inches
Cylinder Volume = π • radius^2 • height
Cylinder Volume = π • 9 * 10
Cylinder Volume = 282.7433388231 cubic inches
TOTAL VOLUME = 113.10 + 282.74 cubic inches
TOTAL VOLUME = 395.84 cubic inches
Step-by-step explanation:
Answer:
Step-by-step explanation:
In each case we find the discriminant b^2 - 4ac.
If the discriminant is negative, we have two unequal, complex roots.
If the discriminant is zero. we have two equal, real roots.
If the discriminant is positive, we have two unequal real roots.
#51: 8v^2 - 12v + 9: the discriminant is (-12)^2 - 4(8)(9) = -144. we have two unequal, complex roots
#52: (-11)^2 - 4(4)(-14) = 121 + 224 = 345. we have two unequal real roots.
#53: (-5)^2 - 4(7)(6) = 25 - 168 (negative). we have two unequal, complex roots.
#54: (4)^2 - 16 = 0. We have two equal, real roots.
