Answer:
Step-by-step explanation:
Given: expressions
To find: expression that denotes a rational number
Solution:
A number of the form 
where p and q are integers and 
is said to be a rational number.
Sum of a rational and irrational number is irrational.
In 
, 
is a rational number and 
is an irrational number
So, is not a rational number.
In 
, 
is an irrational number and 4 is a rational number
So, 
is not a rational number.
In 
, 
is a rational number
So, is a rational number
In 
, 
is a rational number and 
is an irrational number
So, is not a rational number.
Answer:
60 feet
Step-by-step explanation:
The height, h (in meters), of the object launched from a platform is represented by the equation
where x is the time (in seconds) passed after the launch.
The time of launch is 
(0 seconds passed after the launch)
Substitute to find the height:
Answer:
B. Similar - AA
Step-by-step explanation:
Two angles in ∆ABC are congruent to two corresponding angles in ∆DEF. Thus, it follows that the third pair of angles of both triangles would also be congruent.
Therefore, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.
This satisfies the AA Similarity Criterion. Therefore, ∆ABC ~ ∆DEF by AA.
Develop <span> cos(</span>π<span>/3 + h) =
= 1/2 -h.</span>√3/2 - h²/4√3 +h³/4√3 + h⁴/48 - h⁵/80√3 - h⁶/1440 +....
The probability is 0.3707.
We calculate the z-score associated with this using the formula
z = (X-μ)/σ = (67-68)/3 = -1/3 = -0.33
Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of this (less than) is 0.3707.
