Answer:
The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today.
The radius of a circle is one-half the length of the diameter of a circle. The diameter of a circle is 10 ft. Therefore, the radius of the circle is 5 ft.
Step-by-step explanation:
Deductive reasoning or deduction, is one of the two basic types of logical inferences. A logical inference is a connection from a first statement to a second statement for which the rules of logic show that if the first statement is true, the second statement should be true. Basically one logical statement defines the base of the argument to reach the conclusion.
Here we can see that in first case:
The fair charges $5 for admission, so we know the fact that it charges $5 for the admission, now whoever goes to the fair will have to spend $5 to get in. Tom is going to the fair so Tom will spend$5 for admission to the fair. Therefore, this statement is deductive reasoning.
Case 2:
The radius of a circle is one-half the length of the diameter, this sentence is a fact. Now the diameter of a circle is 10ft so it is obvious that based on the previous sentence we will calculate the radius of the circle that is half of the diameter.
So only these two examples are based on deductive reasoning.
Sample 1:
Error = 14 - 13.7 = 0.3
Percentage Error = 0.3/13.7 x 100 = 2.19%
Sample 2:
Error = 24.4 - 24 = 0.4
Percentage Error = 0.4/24.4 x 100 = 1.64%
Sample 3:
Error = 25.8 - 25 = 0.8
Percentage Error = 0.8/25.8 x 100 = 3.1%
Sample 4:
Error = 40.2 - 39 = 1.2
Percentage Error = 1.2/40.2 x 100 = 2.99%
Sample 2 has the least percent error
Answer:
The quotient is 2x+1. The remainder is 2x-2
Step-by-step explanation:
Answer:
9.8 units
Explanation:
According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.
Let the third side be x units.
Then,
x² + 10² = 14²
=> x² + 100 = 196
=> x² = 196 - 100
=> x² = 96
=> x = √96
=> x = 4√6
=> x = 9.79....
=> x = 9.8 (Rounding to the nearest tenths)
So, the length of the third side is 9.8 units.
