If it's a geometric sequence then:
![a_1=27;\ a_2=27\\\\r=\dfrac{a_2}{a_1}\to r=\dfrac{27}{36}=\dfrac{3}{4}=0.75\\\\a_{n+1}=a_nr\\\\a_3=27\cdot0.75=20.25\ CORRECT](https://tex.z-dn.net/?f=a_1%3D27%3B%5C%20a_2%3D27%5C%5C%5C%5Cr%3D%5Cdfrac%7Ba_2%7D%7Ba_1%7D%5Cto%20r%3D%5Cdfrac%7B27%7D%7B36%7D%3D%5Cdfrac%7B3%7D%7B4%7D%3D0.75%5C%5C%5C%5Ca_%7Bn%2B1%7D%3Da_nr%5C%5C%5C%5Ca_3%3D27%5Ccdot0.75%3D20.25%5C%20CORRECT)
We calculate the fourth and fifth term of the sequence:
![a_4=a_3r\to a_4=20.25\cdot0.75=15.1875\\\\a_5=a_4r\to a_5=15.1875\cdot0.75=11.390625](https://tex.z-dn.net/?f=a_4%3Da_3r%5Cto%20a_4%3D20.25%5Ccdot0.75%3D15.1875%5C%5C%5C%5Ca_5%3Da_4r%5Cto%20a_5%3D15.1875%5Ccdot0.75%3D11.390625)
Answer:
In year 4 15.1875 animals.
In year 5 11.390625 animals.
Answer: Bottom-Right corner
The points are (-5,6) (-5,-6) (4,-6)
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Explanation:
What you do is go through each of the answer choices, plot the points, and see which give you a right triangle. A right triangle has one 90 degree angle.
The upper-left choice leads to an obtuse triangle, so we can cross that off the list. It turns out that the other choices lead to right triangles.
The upper-right choice has a hypotenuse of roughly 11.18, so that's also eliminated
The bottom-left choice has a hypotenuse of 10.82, which means we cross that off the list
The bottom-right choice has a hypotenuse of 15, so we found the answer
Note: you use the distance formula to find the length of the hypotenuse. The distance formula is
d = sqrt((x1-x2)^2+(y1-y2)^2)
Answer:
Trapezoid
Step-by-step explanation:
Answer:
482895ft^2
Step-by-step explanation:
Given data
Width= 657ft
Length= 735ft
We know that area A
A= Length* Width
A=657*735
A= 482895ft^2
Hence the area is 482895ft^2