V=πr2h
v=π(5)^2(10)
v=250π
v=785 inches cubed
Z / -4 < 2....multiply both sides by -4, cancelling out the -4 on the left. And dont forget to change the inequality sign because of multiplying by a negative.
z > 2 * -4
z > -8
Answer: F
Step-by-step explanation:
1+2+...+n = n*(n+1)/2 for all natural numbers n.
Left-hand-side = (5+1)+(5+2)+...+(5+10)=5*10+10*(10+1)/2=50+55=105
Right-hand-side = (4)+(4+1)+...+(4+9)=4*10+9*(9+1)/2=40+45=85
105≠85
The equation is false
Answer:
Q1 = -4, Q2 = 6
Step-by-step explanation:
In this box-and-whisker plot, the first vertical line is the first quartile (-4), the second vertical line is the median (4), and the vertical line is the third quartile (6). The box contains the middle 50% of the data set.
See the picture with letters attached to better understand the problem
we know that
in the right triangle ABC
AB=BC----------> by angle 45°
AC²=AB²+BC²-----> AC²=(√2)²+(√2)²----> AC²=4-----> AC=2
in the right triangle ACD
tan 60°=y/AC--------> y=AC*tan 60°-----> y=4*tan 60°----> y=4√3
the answer isy=4√3