Answer:
10√3 feet
Step-by-step explanation:
In a 30-60-90 triangle;
-Long leg = long leg
-Short leg = 1/2 * long leg
-2nd longest leg = short leg * √3
-Long leg = 20
-Short leg = 1/2 * long leg = 10
-2nd longest leg = short leg * √3 = 10√3
<span>It is because even numbers always have a factor of two, and therefore, larger composite even numbers will have factors of two and other even numbers based around two, such as 4, 8, 16, 32, and so on. On the other hand, numbers which are odd can have factors of 3, 5, and 7 for example, and their numbers based around them(3, 9, 27; 5, 10, 15; 7, 49, 343; and so on). If we look into it, notice how for odd numbers the space between the numbers based around 3, 5, and 7 are increasingly further apart. This is the reason why less large odd integers to have numerous factors. It is because odd numbers cannot have the prime factor 2, this will reduce their factor number. And is is also because even numbers are already divided by 2, this will give them more factors over the odd numbers.</span>
Answer:
1. DF (option 3)
2. segment addition postulate
3. segment congruence postulate
4. DF (option 5)
Answer:
The Sample size is 1918.89035
Step-by-step explanation:
Consider the provided information.
It is given that 14 out of 105 samples failed.
Therefore p = 14/105 = 0.13
3... and q=1-0.133=0.867
Samples would be needed to create a 99 percent confidence interval.
Subtract the confidence level from 1, then divide by two.
By standard normal table z=2.5758≈2.58
Calculate the sample size as:
Where, e is the margin of error,
Substitute the respective values.
Hence, the Sample size is 1918.89035
Answer:
A) False
B) False
Step-by-step explanation:
A. Two angles whose measures add up to 90° are said to be complementary, while two angles are adjacent when formed beside each other. So, adjacent angles might be complementary or supplementary. Thus, the answer to the first part of the question is false.
B. When two angles share a side, they are said to be adjacent to each other. But supplementary angles add up to 
. Since adjacent angles might be complementary or supplementary, then the answer to the second part of the question is false.
