Answer:
11
Step-by-step explanation:
2(8−4)(2)− 10/2
=11
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EASY
yourwelcome
Answer: L = 36 feet approximately
The more accurate value is 35.9547644 feet, but this approximate value isn't exact either.
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Explanation:
Ignore the vertical line and any byproducts of it.
Refer to the diagram below. Note that the 95 degree angle is from 15+80 = 95.
We can use the law of sines like so
sin(A)/a = sin(B)/b
sin(75)/200 = sin(10)/L
L*sin(75) = 200*sin(10)
L = 200*sin(10)/sin(75)
L = 35.9547644 which is approximate.
This rounds to roughly 36 feet when rounding to the nearest whole number.
Side note: We never use angle C = 95, and its opposite side.
Answer:
V = (1/3)πr²h
Step-by-step explanation:
The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.
Cylinder Volume = πr²h
Cone Volume = (1/3)πr²h
where r is the radius (of the base), and h is the height perpendicular to the circular base.
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<em>Comment on area and volume in general</em>
You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...
V = Bh . . . . . for an object with congruent parallel "bases"
V = (1/3)Bh . . . . . for a pointed object with base area B.
This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)
Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)
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* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.
B because you need to do 2/6 which is the probability of getting a number above 4 times 1/2 the probability of getting heads. 2/6 x 1/2 = 2/12 = 1/2