Answer:
clay sphere gives more clay for less money
Step-by-step explanation:
Volume of cone=1/3πr^2h
=1/3*3.14*(9^2)*12
=1/3*3.14*81*12
=3,052.08/3
=1017.36 inches^3
Volume of a cyclinder=πr^2h
=3.14*(9^2)*12
=3.14*81*12
=3,052.08 inches^3
Volume of a sphere=4/3πr^3
=4/3*3.14*(9^3)
=4/3*3.14*(9^3)
=4/3*3.14*729
=9,156.24 / 3
=3,052.08 inches^3
Clay cone=$12
Clay cyclinder=$30
Clay sphere=$28
Which is the best to buy
Comparing volume
Volume of sphere=3,052.08 inches^3
Volume of cyclinder=3,052.08 inches^3
Volume of cone=1017.36 inches^3
Sphere and cyclinder both have the same volume which is 3 times more than volume of a cone
Clay sphere cost $28 which is cheaper than clay cyclinder at the same volume.
Therefore, clay sphere gives more clay for less money
X=0 is a vertical line so, the only vertical line that passes (-4,4) is x = -4.
Answer:
60°
Step-by-step explanation:
Let angle BAE = angle ACD = x
BCD = AEC = 60°
EAC + FCA + ECF + AEC = EAC + x + 60° + 60° = 180°
EAC = 60° - x
BAC = EAC + BAE = 60° - x + x = 60°
Since the triangle is isosceles we know that angle a is equal to angle c.
8y-7=73
8y=80
y=10
We also know that the sum of the interior angles in any triangle is 180 degrees.
73+73+6x+4=180
150+6x=180
6x=30
x=5
'of' in math implies that the values are being multiplied together, so multiply 47 and 65%;
47 * 65% = 47 * .65 = 30.55