Answer:
45
Step-by-step explanation:
There are 10 points to choose as "starting points" and 9 points to connect them to so you would think that the answer is 10 * 9 = 90. However, this is incorrect as it is over-counting by a factor of 2. Suppose we have two points A and B. Using this method, 2 of the 90 line segments would be AB and BA but AB and BA are the same line segment. Therefore, the answer is 90 / 2 = 45.
The square piece of wood measures 32 in per side,
Then the circle that can be cut off it has a radius of 16 in (half of the diameter 32 in)
Therefore, the area of the circle is going to be given by the formula:
And the area of the initial square was:
Area = 32^2 in^2 = 1024 in^2
Therefore the left-overs of the piece of wood would be the difference:
1024 in^2 - 803.84 in^2
Erica will take 4.5 minutes to run from home to school
<h3><u>Solution:</u></h3>
Given that , Arica can run of a kilometer in a minute
Her school is th of a kilometer away from her home
We have to find at this speed how long will it take Erica to run from home to school
<em><u>The relation between speed distance and time is given as:</u></em>
Plugging in values, we get
Hence, she takes 4.5 minutes to reach school from her home