Find the area of the cone:
Area of cone: ⅓r^2h
⅓r^2h
= ⅓(3.5)^2(7)
= ⅓(12.25)(7)
= 1/3(85.75)
= 85.75/3
1/3 cup sloshed out:
(85.75/3 )/3
= 29.9 cubic cm
The ordered pair (-1,5) is a solution to the system because it makes both equations true.
1) x+y=4
2) x-y=-6
1) -1 + 5 = 4
5-1 = 4 you can switch the order to make it easier to understand
so
4 = 4
2) -1 - 5 = -6
-1 + -5 = -6 you can change the sign in the middle and make y -
so
-6 = -6
There are several approaches.
(5/3)x^2 - 5 = 0 has the coefficients a=5/3, b=0 and c = -5.
Thus, the quadratic formula would be appropriate here:
-0 plus or minus sqrt(0^2 - 4(5/3)(-5) )
x = -------------------------------------------------------
2(5/3)
plus or minus sqrt(100/3)
= ------------------------------------
10/3
3 10
= ------* ----------- = sqrt(3) (answer)
10 sqrt(3)
Answer:
1.601 x 10^9
Step-by-step explanation:
