Solve the problem. Kannanaski Rapids drops 70 ft vertically over a horizontal distance of 866 ft. What is
the slope of the rapids?
-0.001
-12.4
-70
-0.081
I need help ASAP :(

Based on the information given the slope of the rapids is 0.081.

Using this formula

Slope of the rapids=Vertically rapid drop/Horizontal distance

Let plug in the formula

Slope of the rapids=70ft/866ft

Slope of the rapids=0.0808

Slope of the rapids=0.081 (Approximately)

Inconclusion the slope of the rapids is 0.081.

Learn more about slope of the rapids here:link

0.081

Step-by-step explanation:

Given parameters:

Vertical drop  = 70ft

Horizontal distance  = 866ft

Unknown:

Slope of the rapids  =?

Solution:

Slope is the rise or vertical height divide by the horizonal distance.

  Slope  =

  Insert the parameters and solve;

  Slope  =   = 0.081

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).