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Answer: Choice D</h3>
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Explanation:
You'll have to go through each answer choice one by one to check if those dimensions lead to to a volume of roughly 9.5 m^3
For choice A, we have a radius of 0.7/2 = 0.35 meters and a height of 6.2 meters. The volume of the cylinder is pi*r^2*h = 3.14*(0.35)^2*6.2 = 2.38483 which rounds to 2.4 cubic meters. We can rule out choice A because we want 9.5 as a result instead of 2.4
We follow the same steps for choices B through D. You should find that choice D is the answer because:
V = pi*r^2*h = 3.14*(1.4/2)^2*6.2 = 9.53932 which rounds to 9.5 m^3.
Note the 1.4/2 is dividing the diameter 1.4 in half to get the radius.
Perimeter:
p = 2b + 2h = 68
b = 4h - 6 (per problem statement)
substituting for b in the perimeter equation:
p = 2(4h - 6) + 2h = 68
(2)(4h) - (2)(6) + 2h = 68
8h - 12 + 2h = 68
10h - 12 = 68
10h = 68 + 12
10h = 80
h = 80/10
h = 8
b = 4(8) - 6 = 32 - 6 = 26
p = 2(26) + 2(8)
p = 52 + 16 = 68 . . . [OK]
b = 26 cm
h = 8 cm
First you find the area of the circle using the radius then multiplying that to the height. That gets the full volume. Using that measurement multiply it by 5/6 to figure out what 5/6 of the volume is. Good luck!
12, 24, 36, 48, 60, 72, 84, and 96.
Answer:
Learning to subtract rational numbers by adding the additive inverse can be explained to your child as being the same as finding the opposite. This can even be described to your child as being a similar concept to one that they have worked with in the past where subtraction is the opposite of addition.
Additive inverse can be defined as adding a number with the opposite or the negative of that number to equal zero. The additive inverse of 1 is (-1), the additive inverse of 2 is (-2) and so on.
Example: 5 + (-5) = 0
In this example, (-5) is the additive inverse.
You can then take additive inverse one step when finding the additive inverse when subtracting rational numbers.
Example: 7 - 4 = 7 + (-4)
3 = 3
When finding the inverse, it is important to keep in mind that what you do to one side, you must do the opposite to another. In the example above, because you subtracted a positive four on one side, you are going to add a negative four to the other. This will make the equation equal on both sides.
Step-by-step explanation: