Answer:
The volume of the cone in terms of π is 90.31π inches³ to the nearest hundredth.
Step-by-step explanation:
Volume = πr²(h/3) = ?
Height = <em>15 inches</em> (from the diagram)
Find r
since we are given the circumference of the base circle = 8.5π inches => 2πr
∴ 8.5π inches = 2πr
( 8.5π / 2π ) inches = r
<em>4.25 inches</em> = (r) Radius
Now that we have both Height (15 inches) and Radius (4.25 inches), calculate the volume.
Volume = πr²(h/3)
= π * (4.25 inches)² * (15 inches / 3)
= π * 18.0625 inches² * 5 inches
Volume = 90.3125π inches³
Rounding to the nearest hundredth ≅ 90.31π inches³
Percent of change = absolute value of the original amount minus new amount divided by the original amount.
The answer is a 35% decrease
Answer:
you use the to ask questions/ or just give them away
Step-by-step explanation:
9514 1404 393
Answer:
185°
Step-by-step explanation:
The triangle internal angle at Y is 145° -45° = 100°. Since the triangle is isosceles, the internal angles at X and Z are both (180° -100°)/2 = 40°. Then the bearing of Z from X is the bearing of Y from X less the internal angle at X:
(45° +180°) -40° = 185°.
Z from X is 185°.
Answer:
Step-by-step explanation:
The dealing of the cards can be seen in the following way:
We first have to choose which 7 cards are going to be dealt to the 1st player. So we have to pick 7 cards out of the 52 available cards. This can be done in ways. Now that we have chosen which 7 cards are going to be dealt to the 1st player, we have to choose which 2 of them are going to be the hidden ones. So we have to pick 2 cards out of the 7 cards to be the hidden ones. This can be done in ways. At this point we now know which cards are being dealt to the 1st player, and which ones are hidden for him. Then we have to choose which 7 cards to deal to the 2nd player, out of the remaining ones. So we have to pick 7 out of 52-7=45. (since 7 have been already dealt to the 1st player). This can be done in . Then again, we have to pick which 2 are going to be the hidden cards for this 2nd player. So we have to pick 2 out of the 7. This can be done in ways. Then we continue with the 3rd player. We have to choose 7 cards out of the remaining ones, which at this point are 52-7-7=38. This can be done in . And again, we have to choose which ones are the hidden ones, which can be chosen in ways. Finally, for the last player, we choose 7 out of the remaining cards, which are 52-7-7-7=31. This can be done in ways. And choosing which ones are the hidden ones for this player can be done in ways. At the end, we should multiply all our available choices on each step, to get the total choices or total ways to deal the cards to our 4 players (since dealing the cards is a process of several steps with many choices on each step).