Answer:
We know that a closed 2D shape with 5 sides and 5 angles is called the Pentagon.
Therefore, the given polygon figure represents the Pentagon.
Step-by-step explanation:
It is clear that the given figure contains:
We know that a closed 2D shape with 5 sides and 5 angles is called the Pentagon.
Therefore, the given polygon figure represents the Pentagon.
<em>Please also note that the sum of interior angles in a Pentagon is 540°</em>
Answer: 
Step-by-step explanation:
Since you indicate that it is a cone, you need to use the formula for calculate the volume of a cone. This is:

Where "r" is the radius and "h" is the height of the cone.
According to the information given in the exercise, the height and the radius of the pylons are the following:

Then, knowing these values, you can substitute them into the formula,as following:

Finally, evaluating, you get that the volume of concrete that Tobias will need for each pylon is the one shown below:

Answer:

Step-by-step explanation:
<u>Probabilities</u>
The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.
Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is

We are required to compute the probability that only one of the counters is white. It means that the favorable options are

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now

Thus the option WN has the probability

Now for the second option NW. The initial probability to pick a non-white counter is

The probability to pick a white counter is

Thus the option NW has the probability

The total probability of event A is the sum of both


Answer:
x<3 and x≥5
Step-by-step explanation:
Look at the circles and what is shaded on the number line. The first circle is at x=3, and it's an open circle. An open circle means that the interval does not include that point. The arrow is going to the left, meaning x < 3.
The next circle is at x=5. It is a closed circle, so the interval does include that point (so draw a bar under the less than/greater than sign). Next, notice how the arrow is pointing to the right. That means that the blue area is at x=5 and greater than x=5, so x≥5.