Answer:
(d) 10
Step-by-step explanation:
Multiply by x and divide by its coefficient:
(43.65)(8.79) = (0.4365)(87.9)x
(43.65)(8.79)/((0.4365)(87.9)) = x
At this point, any calculator can give you the answer. It is, perhaps, more satisfying to work out the answer without a calculator.
x = (43.65)/(0.4365) × (8.79)/(87.9)
In the first quotient, the numerator is 100 times the denominator; in the second, the denominator is 10 times the numerator.
x = (100) × (1/10) = 100/10
x = 10
_____
Moving the decimal point to the right 1 place multiplies the numerical value by 10.
First, we need to get the total number students by adding the number of men and women. 63 + 86 = 149. This is the total number of samples. To get the probability that a randomly selected is a woman, we can write the ratio as 63:149 or the probability is 63/149.
The answer is C! 6/7 because the negatives cancel out!
Area of the cross section (Trapezium) :
1/2 (6 + 11) x 3 = 25.5 cm²
Volume = area x height = 25.5 x 3 = 76.5 cm³
If 30 60 90 right triangle then ratio of short leg : long leg : hypotenuse = a : a√3 : 2a
in this case
short leg = 4
long leg = 4√3 (short leg times √3)
and
hypotenuse = 8 (twice of short leg)
so answer is A.
The angle measures are 30, 60 and 90