Since this is not a rational function (with undetermined values in the denominator), but just a normal expression, we can just substitute t with the value toward which the function is approaching. Since this is a continuous function, it doesn't matter from which side it's approaching 0. In this case, let t=0, then sin(4t)=0, cos(4t)=1, then -2 sin^2(4t)+2tcos(4t)=0.
Answer:
The required probability is, 
Step-by-step explanation:
P(A sandwich is made of roast beef) = 
P(A snack is made of popcorn) = 
Since, the two events, i. e., 'A sandwich is made of roast beef' and 'A snack is made of popcorn' are independent, so,
P(Gretchen will get a roast beef sandwich and popcorn in her box)
= 
=
Answer:
100m
Step-by-step explanation:
x=the height of the tower
100m=the distance from the tower
45 degrees the angle of elevation
Drawing a diagram allows you to see that you can form a 'right-angled triangle'.
Using trig. :
Tan 45=x/100m
multiply both sides by 100m
100m*tan 45=100m
Question
If the area of a square is 625 cm^2 then what is the length of one side of the square
Answer:
Step-by-step explanation:
The sides can be found by taking the square root of the area
√625 =
25 cm
---------------
check
Area = s²
25² = 625
the answer is good
