Answer:
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Answer:
a. 106 degrees
Step-by-step explanation:
m=measure of angle 1; m-32 degrees=measure of supplement
m+(m-32 degrees)=180 degrees Add 32 degrees to each side.
2m=212 degrees Divide each side by 2
m=106 degrees ANSWER: The measure of angle 1 is 106 degrees
CHECK:
106+(106-32)=180
106+74=180
180=180
The volume of the cube is 6*6*6 (in cubed)=216 (in cubed).
in 1 cubic inch, there is 0.5 lb of weight
so in 216 cubic inch, there are 216*0.5 lb = 108 lbs of weight
Answer: 108 lbs
Answer:
Step-by-step explanation:
<u>Exponents Properties</u>
We need to recall the following properties of exponents:
We are given the expression:
We need to express the following expression in terms of n.
It's necessary to modify the expression to use the given equivalence.
Recall 
. Thus:
Applying the property:
Substituting the given expression:
Or, equivalently:
F ( x ) = tan ( 2 x );
f ` ( x ) = (1 / cos² x )· ( 2 x )` = 2 / cos² x
f` ( π/6 ) = 2 / cos² (π/6) = 2 / (√3/2)² = 2 : 3/4 = 8/3
