You need to use the Law of Cosines:
AC² = AB² + BC² - 2·AB·BC·cos(b)
Therefore, you get:
AC = √(90² + 80² - 2·90·80·cos(50)
=√5243.86
= 72.4 in
Now you can sum up all the sides in order to find the perimeter:
AB + BC + AC = 90 + 80 + 72.4 = 242.4 in
The correct answer is A) 242.4 in
Answer:
Step-by-step explanation:
Rearrange the terms and take out a common factor of 4
4(8x^2 + 2x + 1)
I think this is as far down as you want to take it. It gives an imaginary root which you may not be familiar with.
Answer:
slope =2
y intercept = (0,-4)
Step-by-step explanation:
y = 2x - 4
Since this is in the form y = mx+b where m is the slope and b is the y intercept
The slope is 2 and the y intercept is -4
slope =2
y intercept = (0,-4)
g(x) = the quantity of x minus one, over four
g(x) = (x-1)/4
g(5) = (5-1)/4
g(5) = 4/4
g(5) = 1
f(x) = x2 − 3x + 3
f(g(5)) =1^2 − 3(1) + 3
f(g(5)) = 1 - 3 + 3
f(g(5)) = 1