There are 24 (2x8+2x4) posts around the pool with 4 overlaps, therefore, there are 20 posts in total.
Among the 8 posts along one side, there are 7 gaps in between them. Hence, the length is 2x7=14yards
Among the 4 posts on the other side, there are 3 gaps in between them. Hence, the width is 2x3=6 yards
Answer:
89.01% probability that a flight arrives on time given that it departed on time.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Departing on time
Event B: Arriving on time.
The probability that a flight departs and arrives on time is 0.81.
This means that 
The probability that an airplane flight departs on time is 0.91.
This means that 
Find the probability that a flight arrives on time given that it departed on time.

89.01% probability that a flight arrives on time given that it departed on time.
The answer to this is C. Although the initial ratio of Grade 7 to Grade 8 students is 17:34, which is 1:2, and which can be represented well by the 6 sides of the cube by putting 1 and 2 as Grade 7 and 3-6 as Grade 8, the problem with the cube rolls is that the probabilities will not change after students are chosen. The problem states that students cannot be selected more than once, so the cube roll will only work the first time, and may not be accurate for subsequent rolls.
The answer:
According to the image, <span>the length of line segment GF can be found with
</span>GF= GC +CF
CF is one the radius, so CF=7.5
to find GC, we can apply Pythagorean theorem on the right triangle GEC
it is
GC² =GE² + EC² = 10² +7.5² =156.25, and then GC= sqrt(156.25)=12.5
therefore, GF= GC +CF=12.5+7.5=20
so the answer is <span>20.0 units</span>
Answer:
The volume of the larger solid is 
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar , then the ratio of its surface areas is equal to the scale factor squared
so
Let
z-------> the scale factor
x-------------> surface area larger solid
y-------------> surface area smaller solid

substitute

----> scale factor
step 2
Find the volume of the larger solid
we know that
If two figures are similar , then the ratio of its volumes is equal to the scale factor elevated to the cube
so
Let
z-------> the scale factor
x-------------> volume of the larger solid
y-------------> volume of the smaller solid

we have


substitute the values

