Answer:
an apparent solution that must be rejected because it does not satisfy the original equation.
Step-by-step explanation:
1)
V=hpr^2
r=√(V/(hp)), using 216p for V and 3 ft for h you get:
r=√(216p/(3p))
r=√72
r≈8.5 ft (to nearest tenth of a foot)
2)
The volume of these ice cream cones is half the volume of a sphere plus the volume of a cone...
V=((4pr^3)/3)/2+(hpr^2)/3
V=(4pr^3)/6+(hpr^2)/3
V=(p/3)(2r^3+hr^2)
And the difference between them is:
V=(p/3)(2R^3+HR^2-2r^3-hr^2), given R,H,r,h=3,12,2,8:
V=(p/3)(2*27+12*9-2*8-8*4)
V=(p/3)(114)
V=38p cm^3
V≈119.38 cm^3 (to nearest one-hundredth of a cm^3)
3)
V=[(4pr^3)/3]/2
V=(2pr^3)/3 and when r=15yd
V=2250p yd^3
V≈7068.58 yd^3 (to nearest hundredth of a yd^3)
Answer:
Y= -12
Step-by-step explanation:
Answer:
(a) <7 and <8
(b) <3 and <8
(c) <6 and <1
Step-by-step explanation:
There are multiple different answers for each of the questions but these are the ones I chose.
(a) A linear pair is two adjacent angles that intersect and form a straight or 180-degree angle. This means that the angles are supplementary. Since angles 7 and 8 make a straight line on line n, they must be a linear pair.
(b) Vertical angles are two angles opposite of each other that share a vertex. Angles 3 and 8 are opposite of each other, made of the same lines, and share a vertex. This makes them vertical angles and congruent.
(c) As aforementioned, vertical angles are congruent. So, any vertical angles listed could answer this question. For example, angles 6 and 1 are vertical angles, and therefore congruent.