Answer:
Amount of material for chain link = 30 feet
Amount of material for rope = 50 feet
Step-by-step explanation:
Let the amount of chain link = X
The amount of rope be represented by Y
He bought a total of 80 feet of materials
Hence we have:
X + Y = 80 ....... Equation 1
Y = 80 - X
The chain-link cost two dollars per foot and the rope cost 1.50 per foot he spent a total of $135
X × $2 + Y × $1.50 = $135
2X + 1.5Y = 135 ......Equation 2
Substitute 80 - X for Y in Equation 2
2X + 1.5(80 - X) = 135
2X + 120 - 1.5X = 135
Collect like terms
2X - 1.5X = 135 - 120
0.5X = 15
X = 15/0.5
X = 30 feet
Substitute 30 feet for X in Equation 1
X + Y = 80 ....... Equation 1
30 + Y = 80
Y = 80 - 30
Y = 50 feet
Hence the amount of material he used for the chain link = 30 feet and the amount of material he used for the rope was = 50 feet
To find the total volume of the toy ice cream, simply add the individual volumes of the cone and the half sphere. The volume of the cone is 1/3*πr²h. On the other hand, the volume of a sphere is 4/3*πr³. But since only half of the sphere was used, that would be 2/3*πr³. Thus, the total volume of the toy ice cream is:
V = 1/3*πr²h + 2/3*πr³, where
h is the height of the cone
r is the radius of the cone and the sphere. Since the sphere fits perfectly on top of the cone, they would have identical diameters. Having the same value for r, we can further simplify the equation by factoring
V = 1/3*πr² (h + 2r)
V = 1.05r²(h+2r)
Answer:
Impact Academy kid trying to cheat
Answer:
The third one.
Step-by-step explanation:
Hope this helps.
Each angle is 60 degrees times 60 with the no.of angles