The answer is three significant figures. The 1 and the 7 are both significant, because they are non-zero quantities.
This is where significant figures gets a little more complicated, because if a zero is used as a placeholder (i.e. 0.00027 cm) then it is insignificant.
But in the case above, the zero isn't being used as a placeholder, and thus, is significant.
Answer:
I think that A, B, and C are correct.
Step-by-step explanation:
1. Since measures 2 and 3 are a linear pair, they equal 180 degrees. A is correct.
2. Since measures 3 and 4 are also a linear pair, they too equal 180 degrees. B is correct.
3. Measures 2 and 3 are already established to be 180 degrees (check answer 1) , and measures 3 and 4 are also 180 degrees (check answer 2). Since they are both 180 degrees, they are congruent (equal), so C is correct.
D is NOT correct. Measures 1 and 3 are equal because they are vertical angles. We also know that they are acute angles (less than 90) so adding them together will equal less than 180 degrees.
Measures 2 and 4 are equal because they are vertical angles, and they are obtuse (more than 90 degrees). Adding them together will equal more than 180 degrees.
Logic tells us that something less than 180 CANNOT be equal to something more than 180. This proves that 2 and 4 and 1 and 3 are not congruent.
D is WRONG
Answer:
5) =
6) C
<em>Hope this helps and have a great day!!!</em>
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Answer:
First question: 2.04%
Second question: 2.5
Third question: 339.29
Step-by-step explanation:
First, find the volume of Container A. This can be found by pir^2h. r is 6, and h is 12, so the volume is 1357.17. Next, find the volume of Container B. We will use the same equation. This gives us 1385.44 for the volume of Container B. We will subtract the volume of A from B to see the difference. The difference is 28.27. We will then take the difference and divide is by the volume of B. This is 0.02. This means that 2% of Container B will be empty. Specifically, 2.04%.
For this one we can simply divide 20 by 8. This gives us a scale factor of 2.5.
In order to find the surface area of a cylinder we will use the equation 2pirh + 2pir^2. We will plug in the values of r and h in order to give us the surface area. This gives us the answer 339.29.