Question A librarian weighs each book that was returned to the library (to the nearest pound). Below is the data. 245 55 Make a
1 answer:
The dot plot that represents the library book data is shown in the image below.
<h3>How to Construct a Dot Plot?</h3>To construct a dot plot, each data point is represented as a dot. The number of dots one data point has represents the frequency at which that data point occurs in the data set.
The data set given in the table will have the following data points and frequencies:
1: 1
2: 3
3: 4
4: 4
5: 4
6: 0
7: 2
8: 2
The dot plot for the data is shown in the image below.
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Answer:
1. Perpendicular
2. Isosceles
3. Never
Step-by-step explanation:
1. AC ⊥ BD because diameter of a square are perpendicular bisector of each other.
2. In Δ AOB , By using pythagoras : AB² = OA² + OB² .......( 1 )
In Δ COB , By using pythagoras : BC² = OC² + OB² ..........( 2 )
But, OA = OC because both are radius of same circle
So, by using equations ( 1 ) and ( 2 ), We get AB = BC ≠ AC
⇒ ABC is a triangle having two equal sides so ABC is an isosceles triangle.
3. The side can never be equal to radius of circle because the side of the square will be chord for the circle and in a circle chord can never be equal to its radius
