Answer:
C 1055 04 cm
Step-by-step explanation:
We don't need to see the figure, since we know for sure the cone fits into the cylinder (smaller diameter and height).
So, we first need to calculate the volume of the cylinder, which is given by the formula:
VT = π * r² * h
VT = 3.14 * 5² * 16 = 3.14 * 400 = 1,256 cubic cm
Then we calculate the volume of the cone, which is given by:
VC = (π * r² * h)/3
VC = (3.14 * 4² * 12)/3 = (3.14 * 192)/3 = 200.96 cu cm
Then we calculate the void space left inside the cylinder by subtracting the volume of the cone from the volume of the cylinder:
NV = VT - VC = 1,256 - 200.96 = 1,055.04 cu cm
Answer:
C
Step-by-step explanation:
Calculate AC using Pythagoras' identity in ΔABC
AC² = 20² - 12² = 400 - 144 = 256, hence
AC = 
= 16
Now find AD² from ΔACD and ΔABD
ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²
ΔABD → AD² = 12² - x² = 144 - x²
Equate both equations for AD², hence
256 - 400 + 40x - x² = 144 - x²
-144 + 40x - x² = 144 - x² ( add x² to both sides )
- 144 + 40x = 144 ( add 144 to both sides )
40x = 288 ( divide both sides by 40 )
x = 7.2 → C
Answer:
1. (x + 2)² + (y - 9)² = 64
2. (x + 6)² + (y - 9/2)² = 100
3. (x - 15)² + (y + 10)² = 1
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
1. Center: (-2, 9), Radius: 8
(x - (-2))² + (y - 9)² = 8²
(x + 2)² + (y - 9)² = 64
2. Center: (-6, 9/2), Radius: 10
(x - (-6))² + (y - (9/2))² = 10²
(x + 6)² + (y - 9/2)² = 100
3. Center: (15, -10), Radius: 1
(x - 15)² + (y - (-10))² = 1²
(x - 15)² + (y + 10)² = 1
Answer:
Below.
Step-by-step explanation:
15+10+8=33.
Multiply 32X 9 = 288kg
they asked you to convert the kilograms to grams so divide the 288kg by a 1000= 0.288grams
