Answer:
The answer is less than 34.
The odds of rolling a 3 on a 6-sided number cube is 1 out of 6. The odds of rolling a 3 on either of two 6-sided cubes are 1/3. This is because 1/6 * 2 = 1/3. Therefore, an average of one-third of rolls will have a 3 in them. 1/3 expressed as a decimal is .3 repeating (.3333333 etc) and that rounds to 33 which is less than 34.
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9514 1404 393
Answer:
a) no
b) yes
c) maybe (no)
Step-by-step explanation:
There are two versions of the triangle inequality. One requires ...
a + b > c
for any triple of side measures a, b, c.
The other allows ...
a + b ≥ c
which admits "triangles" that have zero height and look like line segments.
Most questions asking "do these lengths form a triangle" are concerned with the "greater than" case, and disallow the "or equal to" case.
__
a)

b)

c)

Answer:
B
Step-by-step explanation:
We know that:
-measuring a cone
-diameter: 18 units
-height: 8 units
We need to know how to find the volume of this cone. To do this, we need the equation to find the volume of a cone:
where r=radius and h=height
Upon assessing this equation we also now know that we are missing a radius.
For a circle, the radius is the distance from the midpoint, center, to the border of the circle. The diameter is the distance from the border of one circle to another, passing through the midpoint. Knowing this, we can conclude that the diameter is two times the radius.
Using this information we can figure out the radius for this cone: 9 units.
Now that we have the radius, we can plug in the rest of the numbers with the correct placements.
square the 9 by calculating 9 times 9.
combine like terms and keep pi separate.
V=216
cubic units
Since this problem is asking for volume, we will used cubic units.
Answer:
v=2 s=5
Step-by-step explanation:
a) v=volleyball s=soccer
s × v = 7
" the soccer (s) practice lasts 1 hour (1) more than (+) twice as long (2) as the volleyball (v) practice; this simplifies to: s = 1 + 2v
b) substitute equation for soccer for s
(1 + 2v) + v = 7
solve for v
1 + 3v = 7 (2v + v = 3v; that's where the 3v comes from)
we subtract 1 from both sides
3v = 6
we divide 3 from both sides
v=2
solve for s
since we know what v equals, we substitute it in
s + 2 =7
subtract 2 from both sides
s = 5