Answer:
The area = 30 units²
Step-by-step explanation:
∵ A (-4 , 1) and (2 , 1)
∴ AB is a horizontal segment (same y-coordinates)
∴ AB = 2 - -4 = 6 units
∵ B (2 , 1) and C (2 , -5)
∴ BC is a vertical segment (same x-coordinates)
∴ AB ⊥ BC
∴ BC = 1 - -5 = 6 units
∵ A (-4 , 1) and D (-4 , -3)
∴ AD is a vertical segment
∴ AD ⊥ AB
∴ AD // BC
∴ AD = 1 - -3 = 4 units
∴ ABCD is trapezium with parallel bases AD , BC and height AB
∵
∴ units²
The formula for surface area of a sphere is A=4*PI*r^2
Using that formula and the known surface are we can find the radius. We can then use that to find the volume.
500 = 4*PI*r^2
Divide both sides by 4:
500/4 = PI *r^2
125 = PI *r^2
Divide both sides by PI
125/PI = r^2
39.79 = r^2
r = SQRT(39.79)
r = 6.3 cm
Now we can find volume using V=4/3*PI*r^3
V = 4/3 *PI *6.3^3
V= 1051.3
The answer is C
Answer:
0
Step-by-step explanation:
If the event is not possible it's not going to happen
Answer:
JL=2 units
Step-by-step explanation:
we know that
If k is the midpoint in the line JL
then
JL=JK+KL
JK=KL
substitute the given values
2x-5=3x-8
Solve for x
3x-2x=-5+8
x=3
so
JK=2x-5=2(3)-5=1 units
KL=3x-8=3(3)-8=1 units
therefore
JL=JK+KL=1+1=2 units