Answer:
for the first one its 128 the second one is 4.0 cm
Step-by-step explanation:
The frog's jump represent a geometric series.
The sum of finite geometric series can be solved using the equation:
Sn = ao ( (1-r^n)/(1-r) )
Plugging in the values,
S8 = 1 ( (1-2^8)/(1-2) )
S8 = 255
Therefore, after 8 hops, the frog will have traveled 255 inches
Please refer the attached figure for better understanding of the solution
Here we are given that the angle of depression is 40°
And the height of the boat from the water is 25.17 ft
we need to find the length of the rope used which we can take as x
We can see that sin is the ratio that corresponds to the opposite side and the hypotenuse sides of the triangle formed
so we have
sin 40° = 



Hence the length of the rope needed is 39.16 ft
A). 8 is a factor of 24 but not of12.
B). 10 is not a factor of 12 or 24.
C). Bingo. 12 is a factor of 12 and of 24.
D). 18 is not a factor of 12 or 24.