Answer:
2411.52 cm³
Step-by-step explanation:
V = (2/3)πr³ Use the equation for volume of a hemisphere
V = (2/3)(3.14)(8)³ Simplify the exponent
V = (2/3)(3.14)(512) Multiply
V = 1071.79 cm³
V = πr² h/3 Now find the volume of the cone
V = (3.14)(8)²(20/3) Simplify the exponent
V = (3.14)(64)(20/3) Multiply
V = 1339.73 cm³
Add both of the volumes together to get the volume of the figure.
1071.79 + 1339.73 = 2411.52 cm³
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Answer:
the solution set consists of {x < -2 ∪ x > 10/3}
Step-by-step explanation:
|3x - 2| > 8 is equivalent to the following set of inequalities:
1) 3x - 2 > 8
and
2) -(3x - 2) > 8
In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.
In case 2, above, carry out the indicated multiplication first:
-3x + 2 > 8. Next, subtract 2 from both sides: -3x > 6.
Next, divide both sides by -3, remembering to reverse the direction of the inequality sign: x < -2.
Thus, the solution set consists of {x < -2 ∪ x > 10/3}
Answer:
Step-by-step explanation:
Answer:
If we’re dividing .31 by 9
The solution is on the photo below
Hope this helped. Have a great day!
