13. leah's mom is standing at the bottom of the slide at the playground, waiting for lean to side own.
the angle of elevation from the bottom of the slide to the top is 46", and the slide has a vertical height
of 9 feet, find the length of the slide.

12.511 3dp

Step-by-step explanation:

Diagram - See Attachment - Not drawn accurately.

Using trigonometic equations, we have the opposite and we want to find the hypotenuse.

Sinx = opp/hyp

Substitute X with 46 and opp with 9.

Sin46 = 9/hyp

Rearrange to get the hypotenuse on its own

Sin46 = 9/hyp

Sin46 * hyp = 9

hyp = 9/Sin46

hyp = 12.511 (3dp)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

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.