Draw a diagram (see picture below). The tree and its shadow is one triangle, the man and its shadow is another triangle. We assume both are right triangles because people and trees stand vertical.

Create a proportion to solve. Put the missing value in a numerator.

Tree height / Tree shadow = Man height / Man shadow

$\frac{x}{8} =\frac{6}{4}$

Solve using cross multiplication. Multiply x by 4. Multiply 6 by 8.

4x = 48 Divide both sides by 4 to isolate x.

x = 12 Height of tree

The tree is 12 feet tall.

4 0

3 years ago

Show how to determine whether (2x – 4) is a factor of the polynomial 2x^5 – 4x^4 + 2x^2 – 2x - 4

amid [387]

Answer:

See explanation.

Step-by-step explanation:

First put 2x-4 equal to 0 and solve it.

2x-4=0

2x=4

x=2

Now plug 2 into the polynomial and see if it equals to 0

In case it's not, then it is not a factor of it

2(2)^5 - 4(2)^4 + 2x^2 -2(2) - 4 = 0

So it's indeed a factor of the polynomial.

Hope this helps!

8 0

3 years ago

Twenty states in a country have four-star hotels. Assume the country has 50 states. (a) What fraction of the states can claim

marissa [1.9K]

1) 20/50, 4/10, 2/5 of the states can claim at least one four star hotel.
2) 30/50,6/10,3/5 of the states are without a four star hotel.

Please vote my answer brainliest. thanks!

8 0

3 years ago