Answer:
The average rate of change(A(x)) of a function f(x) from a to b as;
Given the function:
For x =1 ,
and for x=5
then;
the average rate of change of a function A(x)= or
Therefore, the average rate of change of the given function from x=1 to x=5 is; -35.7084
Answer:
-25
Step-by-step explanation:
Order of Operations
Notice that 56° = 45° + 11°. Then
tan(56°) = sin(56°) / cos(56°)
… = sin(45° + 11°) / cos(45° + 11°)
… = (sin(45°) cos(11°) + cos(45°) sin(11°)) / (cos(45°) cos(11°) - sin(45°) sin(11°))
Recall that sin(45°) = cos(45°) = 1/√2, so we can cancel each term involving 45° :
tan(56°) = (cos(11°) + sin(11°)) / (cos(11°) - sin(11°))
Answer:
a = 45°
Step-by-step explanation:
In triangle PSR
PS = RS (Given)
angle SPR = angle SRP (isosceles triangle property)
Let angles SPR and SRP be x
Therefore, 90° + x + x = 180° (angle property)
=> 90° + 2x = 180°
=> 2x = 180° - 90° = 90°
=> 2x = 90°
=> x = 90° ÷ 2 = 45°
=> x = 45°
Hope it helps:)