Answer:
32cm
Step-by-step explanation:
Area of a triangle= 1/2 X b X h
b= 8
h=8
1/2 X 8 X 8
= 4 X 8
= 32cm
Answer:
Probability
Step-by-step explanation:
Probability of an event is how likely that event is to happen. And it is denoted by letter P and calculated by the formula below:
P(E) = number of possible outcome/number of the total event sample
P(E) = n(E) / n(S)
Answer:
1) 477.5
2) 395.8
3) 2042.0
4)132.7
5) 44.1
6) 437.9
Step-by-step explanation:
Surface area of a cylinder = 2(pi)(r)(h) + 2 (pi)(r)^2
Lateral area of a cylinder = 2 (pi)(r)(r)
The steps to determine whether the pillars have the same volume are;
First, we must know that the volume of an object of uniform surface area is the product of its Area and height.
The uniform area of each pillar is then evaluated and if equal;
Both pillars can be concluded to have the same volume.
We must first recall that for various shapes, the volume of the shape is a function of its height.
For example: a A cylinderical pillar and a rectangular prism pillar;
Volume of a cylinder = πr²h
Volume of a Cuboid = l × w × h
Since h = h.
Therefore, for both pillars to have the same volume; their Areas must be equal.
πr² = l × w
Learn more about Area and volume here
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First off, the underline underneath means plus or minus, since when you take the square root of something, the answer can be negative or positive at the same time
1. 64 is a perfect square. 8 x 8 = 64, therefore it is +- (plus or minus) 8.
2. 45 is not a perfect square, so you can pull out numbers or plug into a calculator and estimate.
Both answers: Since 45 is divisible by 9 and five, you can break a nine into two threes, therefore pull it out, and since the answer is negative, you get:
-3(5)^0.5 (an exponent of one-half or 0.5 means square root)
If you solve by calculator, the answer is ~= (approximately equal to) -6.72
3. Since 90 is not a perfect square, repeat the previous question. 9 can go into 90, therefore you can pull out two threes and are left with: +-3(10)^0.5
Using the calculator, you get ~= +-9.49
