Answer:
x = 4 sqrt(3)
Step-by-step explanation:
x is not to be confused by the mark on the right angle -- X
The function is the cosine of Y which is 30 degrees.
The cosine of 30o is sqrt(3)/2
cos(30) = adjacent side / hypotenuse = sqrt(3) / 2
The adjacent side is 6
cos(30) = 6/ x = sqrt(3) / 2
6/x = sqrt(3) / 2 Cross multiply
x * sqrt(3) = 6 * 2
x * sqrt(3) = 12 divide by sqrt(3)
x = 12 / sqrt(3) Multiply top and bottom by sqrt(3)
x = 12* sqrt(3) / sqrt(3) * sqrt(3)
x = 12 sqrt(3)/ 3 Divide by 3
x = 4 sqrt(3)
One way is to factor and see which ones repeat
125=5*5*5
it is 5 times itself 3 times
5^3
A)
150 were surveyed, possible outcomes, and 132 said they prefer dogs, favorable outcomes, 132/150 or 22/25 or 0.88, now 0.88 * 100 is just 88, namely 88% is the probability.
b)
since we know is 88%, what is 88% of 100? (88/100) * 100, 0.88 * 100, or just 88 students.
c)
18/150 or 3/25 or 0.12 namely 12%,
what's 12% of 300? (12/100) * 300, or 0.12 * 300, so just 36 students.
Answer: To find the volume of a cube, use the formula V=lwh, or Volume equals length times width times height.