Answer:
C) 1/6^32
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(b·c)
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
_____
Using these rules, your expression simplifies to ...
6^8·6^(10(-4)) = 6^8·6^-40 = 6^(8-40) = 6^-32 = 1/6^32
The correct answer is the first option, which is:
A=G^2/H; H=G^2/A
The explanation is shown below:
1. To solve the exercise shown in the figure attached, you must apply the proccedure shown below:
2. You have the following equation to calculate G:
G=√AH
3. Now, to find the formula to calculate A, you must clear the A, as below:
G^2=(√AH)^2
G^2=AH
A=G^2/H
4. Then, you must apply the same proccedure to find the formula for calculate H, as following:
G^2=(√AH)^2
G^2=AH
H=G^2/A
2912 is the population . when 12% is increase of the Ann's population
Answer:
27 inches
Step-by-step explanation:
To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.
The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:
cos(48) = height / diagonal
0.6691 = 18 / diagonal
diagonal = 18 / 0.6691 = 26.9 inches
Rounding to the nearest inch, the diagonal of the canvas measures 27 inches
