The first thing we are going to assume for this case is that the tree and the post are located in the same place.
From that place, both cast a shadow in the same direction.
We then have two similar triangles.
Therefore, we have the following relationship:

From here, we clear the value of x.
We have then:

Rewriting:
Answer:
the tree is 30 feet tall
Answer:
v = 55
Step-by-step explanation:
Plug in the values provided into the equation
v = u + at
v = 23 + 8 * 4
Solve
v = 23 + 8 * 4
v = 23 + 32
<u>v = 55</u>
They each got 4 dollars because all the $ added up will be 16 and it divided by the 4 kids 16 •|• 4= 4
Lets use 1 to solve this problem because it is easiest to show.
Multiply 1 by 1.3 for a 30% increase (1*1.3=1.3).
Then multiply 1.3 by .7 for a 30% decrease. (1.3*.7=.91)
Therefore the page had a 9% reduction from its original size or is 91% of its original size.
Answer:
D.2.58
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 2.58.
The answer is given by option D.