The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is
3.5 feet long. What is the height of the bird house?
2 answers:
Answer:
Bird house is 20 ft. high.
Step-by-step explanation:
Let the height of the bird house is h feet high casts a shadow of 14 ft long.
My friend is 5 feet high and casts a shadow of 3.5 feet.
Now we see both the triangles Δ ABC and Δ XYZ are similar.
By the similar triangles theorem sides opposite to the corresponding angles will be in the same ratio.
(from similar triangles ABC and XYZ)
Therefore bird's house is 20 feet high.
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Answer:
<h2>y = 2</h2>Step-by-step explanation:
To find the value of y when x = 8 we must first find the relationship between the two variables.
The statement
y varies directly with variable x is written as
y = kx
where k is the constant of proportionality
when
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So the formula for the variation is
when
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we have the final answer as
<h3>y = 2</h3>Hope this helps you
Answer:
The number of trees at the begging of the 4-year period was 2560.
Step-by-step explanation:
Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees was, and for the next three years we have that
Start End
Second year --------------
Third year -------------
Fourth year --------------
So the formula to calculate the number of trees in the fourth year is
we know that all of the trees thrived and there were 6250 at the end of 4 year period, then
⇒
Therefore the number of trees at the begging of the 4-year period was 2560.