Answer:
19 red beads
Step-by-step explanation:
We first need to find a common denominator of 4/9, 1/5 and 1/4.
The common denominator is 180. Like in an expression, what we do to one side we have to do to the other.
Silver - 180/9 = 20 ; 20*4 = 80 so there are roughly 80 sliver beads.
Gold - 180/5 = 36 ; 36*1 = 36 so there are roughly 36 gold beads.
Blue - 180/4 = 45 ; 45*1 = 45 so there are roughly 56 blue beads.
180 - (silver+gold+blue) = red beads
180-161 = 19 red beads b/c ----->
80+36+45+19 = 180
Answer:
x=9
Step-by-step explanation:
Since you’re multiplying n^-6 and n^3, you can add the exponents: -6+3 = -3
n^-6 * n^3 = n^-3
If you need to finish without having a negative exponent in your answer, then remember a negative exponent means that factor is on the wrong side of the fraction.
n^-3 = n^-3 / 1 = 1/n^3
when the factor moves to the other side of the fraction, the side of the exponent changes.
Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = 
Cosθ = 
tanθ = 
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = 
θ = 
Option (A) will be the answer.
