Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = 
= 
=
5/6 and 1/6 are exponents to X. The X’s are divided by each other. does that make sense?
The volume of a sphere is calculated like so:
v = 4*pi*r^3/3
so half sphere will have half that volume:
v = (<span>4*pi*r^3/3)(1/2)
</span>v = <span>4*pi*r^3/6
</span>plug in the data:
v = <span>4*pi*(10)^3/6
</span>v = 2094.4
that is the volume of the half sphere
Answer:
For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.
Step-by-step explanation:
63degrees
Step-by-step explanation:
there are multiple ways to do this
for one, angle a = angle e (corresponding angles)
angle f + angle e = 180 degrees (angles on a straight line)
angle f = 180 degrees - angle e where angle e = angle a = 117degrees
so angle f = 63 degrees.
