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>
180x^2+162x+10
Please mark me brainless
Answer:
F. Distributive Property
Step-by-step explanation:
So with the equation:
12 x 47 = 12 (40 + 7)
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
The next steps in the process:
= 12 x 40 + 12 x 7
= 480 + 84
= 564
is an example of the distributive property because you multiply each addend separately and then add them.
You essentially break up 47 into 40 + 7 to make the multiplication easier.
