We know that
in the right triangle
sin x=opposite side angle x/hypotenuse
opposite side angle x=66 mm
hypotenuse=79 mm
so
sin x=66/79
x=arc sin (66/79)-------> x=56.66°-------> x=56.7°
the answer is
x=56.7°
1. B
Adding a constant offset to the data does not change its variance. Scaling it, or applying a non-linear function will change the variance.
2. A
For a given number on the 3rd die, the first two dice can match it 11 ways, or have two numbers that match in 5 additional ways. Thus probability of 2 or more numbers being the same is 6*16/216 = 4/9.
Answer:
622
Step-by-step explanation:
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You would need 3 2-dimensional rectangles and 2 2-dimensional triangles to make up a Triangular Prism.
I hope this helps!
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Answer:
Roberto did 4 or 5 hours
Step-by-step explanation:
r- Roberto
e- Edward
j- Jim
j = 1 hr. paddled
r= 2e for the number of hours, r, robert paddled.
r+ e+ j < 10 Substitute in for r and j.
2e+ e+ 1 < 10
3e <9
e< 3
r = 2*e
r < 2*3 I Changed it to less than, so because edward has to do less than 3 hours, so now im finding the number of hours that he has to be below.
r<6
Roberto did less than 6 hours.
Edward did less than 3 hours.
Jim did 1 hour.
Possible Combination of hours that satisfies all the criteria and is below 10 total hours:
Jim Does 1 hour, Edward does 2 hours, and Roberto does 4 hours.
Another Possibility is
Jim does 1 hours, Edward does 2.5 hours and Roberto does 5 hours.
(Edward has to do 2.5 hours for Roberto to do 5 hours, because it states that Roberto does twice as many hours as Edward, it does not state that he did more than twice as many hours so it is necessary for Edward to do 2.5 hours for Roberto to do 5.)
