On a scale drawing a dog house is 6 centimeters tall. If the actual dog house is 51 inches tall, what is the scale factor if you are going from the scale drawing to the
actual dog house.

0.05

Step-by-step explanation:

Given parameters:

The scaled height of the dog house  = 6cm

     Original height  = 51inches

         let us convert the original height to cm;

          1in = 2.54cm

         51in  = 51 x 2.54  = 129.54cm

Scale factor;

     =

                        = 0.05

The scale factor is 0.05, the drawing has been reduced by a multiple of 0.05 of the actual height

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph