Answer:
28.3 feet
Step-by-step explanation:
Given a tree 41.8 feet tall casts a shadow that is 27 feet long
So the Tangent of the angle of the sahdow remains the same for the both trees.
We know that
Therefore the height of the tree is 28.3 feet
The difference of two numbers is 2 an of the product is 41.25.
1 answer:
Let
x---------------> first number
y--------------> second number
we know that
x-y=2-------------> x=2+y-----------------> equation 1
x*y=41.25------------------> equation 2
substituting 1 in 2
(2+y)*y=41.25-------> y²+2y-41.25=0
using a graph tool----------> to resolve the quadratic equation
see the attached figure
the solution is
y=5.5
x=2+y---------> x=2+5.5---------> x=7.5
Part a)<span>Write an equation representing the product.
the answer Part a) is
</span>x*y=41.25
<span>
Part b) Find the two numbers</span>
the answer Part b) is
the numbers are 7.5 and 5.5
x---------------> first number
y--------------> second number
we know that
x-y=2-------------> x=2+y-----------------> equation 1
x*y=41.25------------------> equation 2
substituting 1 in 2
(2+y)*y=41.25-------> y²+2y-41.25=0
using a graph tool----------> to resolve the quadratic equation
see the attached figure
the solution is
y=5.5
x=2+y---------> x=2+5.5---------> x=7.5
Part a)<span>Write an equation representing the product.
the answer Part a) is
</span>x*y=41.25
<span>
Part b) Find the two numbers</span>
the answer Part b) is
the numbers are 7.5 and 5.5
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Answer:
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form
where
x ----> is the number of years since 2009
y ----> is the population of bears
a ----> is the initial value
b ---> is the base
step 1
Find the value of a
For x=0 (year 2009)
y=1,570 bears
substitute
so
step 2
Find the value of b
For x=1 (year 2010)
y=1,884 bears
substitute
The exponential function is equal to
step 3
How many bears will there be in 2018?
2018-2009=9 years
so
For x=9 years
substitute in the equation