Okay, so your first one, number six. You have two shapes there, a cone and a circle. Now you have a full cone and a half of a circle. Let's start with the cone. The formula for the volume of a cone is πr²h/3. You have your height, that is 12, so get your paper out and plug that in. H = 12. Now, your radius is where it gets a bit tricky. Have you ever heard of the Pythagorean theorem? It's a²+b²=c². Look at the cone, but look at it like it's a two-dimensional shape. You see the triangle in the middle, ignore the rest and pretend it's only that triangle. You now have a right triangle, You know your height is 12, and by looking at the triangle adjacent to it, and know it's equal, you know that your hypotenuse (the longest side of your triangle) is 15. So plug that into the Pythagorean theorem. Now you have 12²+b²=15². Use algebra to work that out, and you're left with 9. So your radius is 9. Now plug that into your volume of a cone equation. The volume of the cone is about 1017.88. Now find the circle or sphere. The formula is 4/3πr³. Just plug in your radius and get your answer, which is 3053.63. Now cut that in half, as you've only got half a circle. Now you've got 1526.82. Now add that to the volume of your cone, and you've got your final answer. 2544.7, or about that. I used π on a calc, and not 3.14, so it might be a little different.
Do you think you can do the next one? Just look at your triangle in there. You've already got one side and a hypotenuse, so plug it into the Pythagorean theorem and get your last side. Then look at the little marks on there and you can see if places are the same. If you need help with it don't hesitate to ask. I'm staying up all night anyway. Homeschooled and behind, so I'm not going anywhere.
let w = width and 3w = length
perimeter is the distance around the outside of the object or P = 2L + 2W
2(3w) + 2w = 24
6w + 2w= 24
8w = 24
w= 3
3w= 9
Width is 3in. and length is 9in.
Answer:
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Answer:
The cost per pound of bananas is $0.84.
Step-by-step explanation:
The question asks to use the given information to set up a proportion and solve for the missing variable. In this case, we know that the cost of 2 1/4 (or 2.25) bananas is $1.89. Since they are asking for cost per pound, we can set up a ratio (fraction):
Since the cost of bananas is the same regardless of the number of pounds, we can set up a proportion to find the cost for just one (1) pound:
Where 'x' is the cost.
Using cross-multiplication and division we get: 2.25x = 1.89. Next, we use inverse operations to divide both sides by 2.25: 2.25x/2.25 = 1.89/2.25. Solve: x = 0.84 or $0.84 per pound.
