Answer:
The area of the triangle with the given vertices is 10 square units
Step-by-step explanation:
x y
D 3 3
E 3 -1
F -2 -5
D 3 3
Area: A=Abs [(xd ye + xe yf + xf yd) - (yd xe + ye xf + yf xd)] /2
Absolute value: Abs
A = Abs { [(3)(-1)+(3)(-5)+(-2)(3)] - [(3)(3)+(-1)(-2)+(-5)(3)] } / 2
A = Abs [ (-3-15-6)-(9+2-15) ] / 2
A = Abs [ (-24)-(-4) ] / 2
A = Abs ( -24+4) / 2
A = Abs (-20) / 2
A = 20 / 2
A = 10 square units
73 (because you want more than 72 to break the record) - 10 = 63
63/9 ( the amount of minutes left) = 7
Joey would have to eat at least 7 hot dogs each minute to break his record.
x+10 > 72
hope this helps
Answer:
The approximate volume is 
Step-by-step explanation:
we know that
The exact volume of the cylinder is

so
To find the approximate volume of the cylinder, substitute the term
by the approximate value of
and then multiply
so

Answer:
Yes i would use it between that time
Step-by-step explanation:
Answer:
2/ 5
Step-by-step explanation:
From the venn diagram, find tbe probability ;
P(work | sport)
Recall :
P(A | B) = P(A n B) / P(B)
From the venn diagram :
P(work | sport) = P(work n sport) / P(sport)
P(work n sport ) = 4
P(sport) = 6 + 4 = 10
Therefore,
P(work | sport) = P(work n sport) / P(sport)
P(work | sport) = 4 / 10
P(work | sport) = 2/5