In a 30 60 90 triangle, the "middle-sized" side = the short side multiplied by the square root of 3.
so the "middle-sized" side = x * square root of 3.
Source:
http://www.1728.org/trig2.htm
Answer:
Shorter piece is 3 ft, longer piece is 8 ft
Step-by-step explanation:
Set up two equations...
Let x be the length of the shorter piece, and let y be the length of the longer piece.
The whole board is 11 feet long, so
x + y = 11
He wants the longer piece to be 4 feet less than 4 times the length of the shorter board, so
y = 4x - 4
Substitute the second equation into the first equation....
x + 4x - 4 = 11 (y becomes 4x - 4)
Now solve for x
5x = 15 (combine like terms, add 4 to both sides)
x = 3 (divide both sides by 5)
Now substitute 3 in for x in either equation and solve for y...
y = 4(3) - 4
y = 12 - 4
y = 8
All of them approach 9 when x=0
Answer:
Option B
Step-by-step explanation:
The null hypothesis for a chi-square goodness of fit test states that the data are consistent with a specified distribution.
While the alternative hypothesis states that the data are not consistent with a specified distribution.
In this case study, the test is for a nose distribution. Thus the null hypothesis would be that the population has a normal distribution.
Answer:
the answer is 18! 72÷4=18