1. a)CK²=CH²+HK², CH - radius
CH²=CK²-HK²=50²-30²=2500-900=1600 ft²
CH=40 ft -- radius
b) cos(KCH)= CH/CK=40/50=4/5
KCH=arccos(4/5)≈36.87°
2)C=2πr≈2*3.14*40=251.2 ft
C=2*40π=80π ft --- exact
3) A =πr²=40²π=1600π ----exact
A≈1600*3.14=5024 ft
Answer: C
Step-by-step explanation:
Rejecting the null hypothesis means we've found a significant difference in the means. That means the probability that we'd see means so far apart by chance is less than our threshold of significance.
Answer
1.56
Step-by-step explanation:
You must find the unit rate. To do so, you must divide 3.90 by 15. That will give you 0.26. After, times 6 and .26 to get your answer. Hope this helps.
Your answer is 10^(- 4).
Think about how exponents with a base 10 work. 10^1 = 10, 10^2 = 100, 10^3 = 1000. It's just add a zero to the right side as you go up.
Then think about 10^0. Anything to a zero power is 1. Only way to go is into negative exponents now. If for positive exponents on 10 we add a zero to the right side, then for negative exponents we add them to the left. Only difference is we have a decimal.
10^(- 1) = 0.1
10^(- 2) = 0.01
10^(- 3) = 0.001
And then your answer
10^(- 4) = 0.0001
Hopefully that explanation makes sense. Exponents can be rough to explain when you're not face-to-face or using some sort of live animation to talk through it. If you're still confused, I'd suggest talking to your instructor.