Answer:
9.562
Step-by-step explanation:
Use the Heron’s Formula to find the area of a triangle when all three sides are known (SSS). In the formulas below, S represents the semi-perimeter of the triangle, and ABC are the three given sides.
You must first know the semi-perimeter (S) before you are able to calculate the area.
S= 1/2 (A+B+C)
Area = √S(S-A)(S-B)(S-C)
In your case:
<u>semi perimeter </u>
= 1/2 (9+4+6)
= 19/2
= 9.5
<u>Area </u>
= √9.5(9.5−9)(9.5−4)(9.5−6)
= √91.4375
= 9.562
Answer:
224ft^3
Step-by-step explanation:
l*w*h= volume
Answer:
f(g(x)) = g(f(x)) = x
Step-by-step explanation:
Lemma;
If f(x) and g(x) are inverses, then the compositions f(g(x)) = g(f(x)) = x
Answer:
3/1
Step-by-step explanation:
The average rate of change is the distance between y values divided by the distance between x values. We know this as rise/run or slope for linear equations. For non-linear equations, we calculate the average over an interval.
This function has y-values of -1 at x=0 and 5 at x=2.
We add -1+5=6 and divide this by 2-0=2.
6/2=3.
The y-values on average change 3 units for every 1 unit of the x-values.