So if the shapes are similar, they have to have a number multiple from to get the other triangle. If you divide 63 by 42, you get 1.5. Then you have to divide 54 by 1.5 to get G and that would be 36.
By expanding D it is clear that it is the factored form of 2/3x + 4
as 2/3x + 4 = 2/3x + 4*3/3
= 2/3x + (2*3)*(2/3). ( rearranging terms)
=2/3( x+ 2*3). ( taking 2*3 common)
=2/3( x + 6)
which is option D
hope it helped ^_^
Answer:
total cost= $5,814
Step-by-step explanation:
Total linear feet measured: (110 x 2) + (270 x 2) = 760 linear ft
total sq ft= 760 x (7) = 5320 sq ft
total linear ft x labor= 760 x 1.70 = 1292 labor
Total sq ft x Cyclone fencing cost= 5320 x .85 = 4522
the total cost is 1292 + 4522 = $5,814
Answer:
Step-by-step explanation:
<u>Let the integers be x- 1, x and x +1, then:</u>
- x - 1 + x + x + 1 = 87
- 3x = 87
- x = 29
The integers are 28, 29, 30
<span>As the age of the U-235 sample is 2.631 billion years, and the half-life of U-235 is 713 million years, the sample has undergone 2.361 X 1,000,000,000 / 713 X 1,000,000 = 3.69 half lives. In each half-life the sample reduces to half its original weight according to the radioactive Half-Life Formula:
ln (Nt /N0) = -kt, where N0 = mass of the original weight of radioactive material, Nt = mass of radioactive material at time t, k = decay constant and t = time interval . We have to put Nt/N0 = 1/2 for time interval = half-life.</span>
