The angle of elevation<span> of an object as seen by an observer is the </span>angle<span> between the horizontal and the line from the object to the observer's eye (the line of sight). since you did give the horizontal distance between amy and the hoop, so let us represent it as x.
so the angle of elevation = tan^-1 ( (8 - 5.9) / x)
angle elevation = tan^-1 ( 2.1 / x )</span>
56.8 feet per second = ? miles per hour
5280 feet = 1 mile
3600 sec = 1 hour
56.8/5280 = 0.01075 miles/second
(0.01075 miles/second)*(3600 seconds) = 38.72727 miles per hour
Answer:
10 pounds
Step-by-step explanation:
Let x represent the amount of raisins Meg have in her supply. She uses 1/2 of her supply of raisins to make trail mix and 3/10 of her supply of raisins to make cookies which gives a total of 8 pounds of raisins being used. To find the amount of raisins she has in her supply, we use the equation:
(1/2)x + (3/10)x = 8
multiply through by 20:
(1/2)x * 20 + (3/10)x * 20 = 8 * 20
10x + 6x = 160
16x = 160
Divide both sides of the equation by 16:
16x/16 = 160/16
x = 10 pounds
Therefore she have 10 pounds of raisins in her supply
Answer:
The 105th term of given sequence is 
.
Step-by-step explanation:
The given sequence is
It can be rewritten as
Here the first term is 0.5.
It is an arithmetic sequence because it has common difference.
The nth term of an AP is
where, 
is first term and d is common difference.
Substitute 
and 
in the above formula.
We need to find the 105th term of given sequence.
Substitute n=105 in the above equation.
Therefore the 105th term of given sequence is .
