Atree that is 40 feet tall casts a 30-foot shadow. at the same time, another tree casts a 20-foot shadow. how tall is the second tree?

Height of second tree = 26.67 foot

Step-by-step explanation:

A tree that is 40 feet tall casts a 30-foot shadow

Height of tree = 40 feet

Height of shadow of tree = 30 feet

So ratio of original height to shadow height is 1.333.

Now we need to find how tall is the another tree, if its shadow is 20 feet.

Height of second tree = 26.67 foot

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.