How long a ladder must you have to reach the top of a 15-foot wall if the bottom of the ladder is placed 4 feet from the base of the wall? round to the nearest tenth of a foot. 14.5 ft 15.5 ft 17.0 ft 19.0 ft

Answer with Step-by-step explanation:

The problem could be modeled as a right angled triangle with height as the height of wall, base of triangle to be the distance between ladder and wall and hypotenuse to be the length of ladder

Now, Using the Pythagoras theorem

Hypotenuse²= Base²+Height²

Hypotenuse²= 4²+15²

                     = 16+225

                     = 241

Hypotenuse=

                   = 15.52 ft

Hence, Length of ladder to nearest tenth is:

15.5 ft

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.