we know that
triangles BCD and ACE are similar
so, their ratios of sides must be equal
Calculation of y:
we can see that
AC=AB+BC
AC=y+3
CE=CD+DE
CE=4+6
CE=10
now, we can plug values
now, we can solve for y
Calculation of AC:
we know that
AC=y+3
we can plug y
and we get
...................Answer
If the range of the numbers in the list L is 4, then x can't be 4 since there is an element in the list that is x^2. Therefore,
0 ≤ x^2 ≤ 4 so that it would be the highest number and
0 ≤x ≤ 2
So, the value of x can be equal to 2 but not higher. So, 2 is always greater or equal to x.
Answer:
B would be a *dependent* event, and A would be an *independent* event.
Step-by-step explanation:
Independent events are separate events where the outcome in either event does not affect the other's probability. The opposite, where the outcome of the one event affects the other's probably, is dependent.
For Option A, taking a tile out and then replacing it does not affect the probability that the same tile will be picked for the 2nd picking.
For Option B, taking a tile out of the bag and then picking another tile are 2 separate events and both have different probabilities for picking identical tiles.
Therefore, Option B is dependent and Option A is independent.
Circumcerence = distance travelled in one full rotation = 2 x π x 8 = 16π
for 2 minutes and 15 seconds,
multiply 16π by 2.25 as 2 minutes is twice the distance of one rotation and 15 seconds is a quarter more
therefore answer is 36π = 113.1 inches
