The smallest possible whole-number length of the unknown side is 17 inches.
<h3>What is the Pythagoras theorem?</h3>
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
From the information given, the sides of an obtuse triangle measure 9 inches and 14 inches.
Therefore, the third side will be:
c² = 9² + 14²
c² = 81 + 196
c² = 277
c = ✓277
c = 16.64
c = 17
Hence, the smallest possible whole-number length of the unknown side is 17 inches.
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Answer:
65.38degrees
Step-by-step explanation:
Given the following
Length of ladder = 12foot = hypotenuse
Distance of the ladder from the wall = 5ft = adjacent
Required
Angle between the ground and the ladder theta
Using the SOH CAH TOA identity
Cos theta = adj/hyp
Cos theta = 5/12
Cos theta = 0.41667
theta = arccos(0.41667)
theta = 65.38 degrees
Hence the angle between the ground and the floor is 65.38degrees
852.21+23.81=856.02
so the answer is C) 856
Answer:
This is a Categorical variable and the measurement scale is ordinal scale.
Step-by-step explanation:
The measurement scale that is being used to classify sleep is the ordinal measurement. In this question, the variable that is called sleep quality is a categorical variable. categorical variables are variables that have the data representing groups. sleep quality has been given this categorical order extremely low very low low and extreme high.
The ordinal scale is a scale that denotes order it has all variables in a specific order.
On the face of it, [5.3%, 8.65%].
_____
If you mean that up to 8.65% may be added to the base 5.3% rate, then the total can be in the range [5.3%, 13.95%].