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
![P=x+y+z](https://tex.z-dn.net/?f=P%3Dx%2By%2Bz)
![P=3,067\ mi](https://tex.z-dn.net/?f=P%3D3%2C067%5C%20mi)
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
![3,067=(y-71)+y+(y+372)](https://tex.z-dn.net/?f=3%2C067%3D%28y-71%29%2By%2B%28y%2B372%29)
solve for y
![3,067=3y+301\\3y=2,766\\y=922](https://tex.z-dn.net/?f=3%2C067%3D3y%2B301%5C%5C3y%3D2%2C766%5C%5Cy%3D922)
Find the value of x
![x=y-71\\x=922-71\\x=851](https://tex.z-dn.net/?f=x%3Dy-71%5C%5Cx%3D922-71%5C%5Cx%3D851)
therefore
The measure of the shortest side is 851 miles
Plug 30 in instead of the n terms.
an=(5-30)/(30+2)
an= -25/32
Step-by-step explanation:
Part A, Option 1 is a exponential function while option is a linear equation.
Part B, Let y=b*a^(x) be the function for option 1. At x=1, y=1100 and at x=2, y=1210. 1100=b*a and 1210=b*a^2. Dividing them both we get, b=1.1 and a=1000. y=1000*(1.1)^(x). For option 2, it's a linear equation with a function y(x)=1000+100x.
The 20 year difference would be immense. With option 1, Belinda will get $6727.5 whereas with option 2, they will end up with $3000
Answer:
81
Step-by-step explanation:
Average | x = 81
Count | n = 5
Sum | Sum = 405
Solution:
The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.
Average = Sum / Count
= 405 / 5
= 81