Answer:
p=122 q=80 r=80
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
8² + 15² = 17²
64 + 225 = 289
289 = 289
Answer:
Explained
Step-by-step explanation:
The trunk of a tree grows in two different ways, first in height and second in diameter.Usually tree grows one ring per year in diameter. So, counting the number of rings we can determine the age of a tree. Both height and diameter growth does not occur at the same rate. Tree grows more in height than in their diameter. Mature trees usually grows 1 inch in diameter every year.
Water oak gains 24 inches in height every year and 1.5 inch growth in diameter annually, meaning if we divide 1.5 inches by 12 months we gets 0.125 inches growth monthly. So a water oak tree needs only 8 months to grow 1 inch in diameter.
Answer:
.
Step-by-step explanation:
Since repetition isn't allowed, there would be
choices for the first donut,
choices for the second donut, and
choices for the third donut. If the order in which donuts are placed in the bag matters, there would be
unique ways to choose a bag of these donuts.
In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type
times.
For example, if a bag includes donut of type
,
, and
, the count
would include the following
arrangements:
Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count
by
to find the actual number of donut combinations:
.
Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of
objects from a set of
distinct objects:
.