The owners of a golf course hired a company to determine how many squirrels were living on their property. First, the company pu
1 answer:
Answer:
Squirrel population is 440 squirrels.
Step-by-step explanation:
It is given that there are 22 squirrels are marked.
Later the company returned and counted a total of 220 squirrels of which are marked were 11.
So, we can set up proportional equation to find the squirrel population.
Let squirrel population is x.
We can set up proportional equation as
Cross multiply
11 x=4840
Divide both sides by 11
x=440
Best estimate is 440.
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Answer:
The measure of the shortest side is 851 miles
Step-by-step explanation:
Let
x ----> the measure of the shortest side
y ---> the measure of the middle side
z ---> the measure of the longest side
we know that
The perimeter of triangle is equal to
so
----> equation A
the shortest side measures 71 mi less than the middle side
so
----> equation B
the longest side measures 372 mi more the the middle side
so
----> equation C
substitute equation B and equation C in equation A
solve for y
Find the value of x
therefore
The measure of the shortest side is 851 miles
The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal, it is obtained by Pythagoras theorem.
Step-by-step explanation:
The given are,
From ΔABC,
AB= 6
BC= 10
AC = x
From ΔDEC,
CD= 28
DE= 21
CE = y
Step:1
Pythagoras theorem from ΔABC,
...............(1)
Substitute the values,
=
+
100 = 36 +
= 100 - 36
= 64
AC =
AC = 8
AC = x = 8
Step:2
Pythagoras theorem for ΔDEC,
................(2)
From the values,
=
+
= 784 + 441
= 1225
CE =
CE = 35
CE = y = 35
Result:
The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.