Answer:
1386 in³
Step-by-step explanation:
Volume of the composite cone = volume of a hemisphere + volume of a cone
=>Find the volume of cone
Volume of cone = ⅓πr²h
π = 3.142
r = 7 in
h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]
h = √(225 - 49)
h = √176 ≈ 13 in
Volume of cone = ⅓*3.142*7²*13
= ⅓*2001.454 ≈ 667 in³
=>Find volume of hemisphere.
Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³
π = 3.142
r = 7 in
Volume = ⅔*3.142*7³ ≈ 719 in³
<em>Volume of composite figure = 667+719 = 1386 in³</em>
Answer:
x = 1
y = 10
Step-by-step explanation:
5x + y = 15
Step 1: Move 5x on the other side by subtracting it from both sides
y = 15 - 5x
2x + y = 12
Step 2: Move 2x on the other side by subtracting it from both sides
y = 12 - 2x
Since y = y, that means 15 - 5x = 12 - 2x
Step 3: Add 5x to both sides
15 = 12 + 3x
Step 4: Subtract 12 from both sides
3 = 3x
Step 5: Divide both sides by 3
x = 1
y = 12 - 2x
Step 6: Plug in 1 for x
y = 12 - 2(1)
Step 7: Multiply 2 by 1
y = 12 - 2
Step 8: Subtract 2 from 12
y = 10
A set with n elements has 2^n subsets, including the empty set and the complete set.
Your set has 2^6 = 64 subsets.
Answer:
11 / 12 or 0.9167
Step-by-step explanation:
Given:
3/4 + 1/6
Find:
Value with expression
Computation:
"3/4 added to number 1/6"
3/4 + 1/6
By taking LCM
[9 + 2] / 12
11 / 12 or 0.9167
brainliest?
Answer:
(3, -2)
Step-by-step explanation:
Rotating (-2, -3) by 90 degrees counter-clockwise gets you to (3, -2).
