We have been given that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.
We will use sum of geometric sequence formula to solve our given problem.
, where,
a = First term of sequence,
r = Common ratio,
n = Number of terms.
For our given problem 
, 
and 
.
Therefore, the ball will travel 100 meters and option B is the correct choice.
Answer:
I think its 86
Step-by-step explanation:
As the two lines going in the same direction are parallel and angles within parallel lines add to 180.
so 180-94=86
The total cost would be $4,050. Hope this helps!
If 28 tiles is placed in 7 rows then each row has 4 tiles.
<u>Step-by-step explanation:</u>
The total number of tiles given =28.
The number of rows = 7.
The number of tiles in each row is given by diving the total number of tiles given by the number of rows.
No of tiles in each row= 
.
No of tiles in each row = 
.
No of tiles in each row = 4.
Note: You can replace the values according to the given values.
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
