Answer:
0.082 = 8.2× 10^-2
Step-by-step explanation:
Given the decimal number 0.082, the expanded form using the power of 10 can be gotten by writing the decimal number in standard format(writing as a multiple of 10).
To do that we will shift the decimal point to the front up to the front of digit 8. This shows that the decimal point will be shifted 2times to the front. Since of is shifted 2times to the front, our power of 10 will be -2.
0.082 = 8.2× 10^-2
This gives the required answer.
Note that, the power of 10 is positive when decimals are shifted to the back and negative when shifted to the front(in this case).
The answer to this question is 4y+4
Answer:
Step-by-step explanation:
Let 
, we need to determine 
, which can be found by applying the following property:
, 
(1)
Then,
Let x represent the total cost, so i have this equation:
x=5c+12. Hope it help!
Answer:
132cm²
Step-by-step explanation:
You can find the area of the entire shape by calculating the area of seperate smaller shapes.
You can split them up into 2 rectangles, one with a base of 7cm and height of 4cm, and another one with a base of 7cm and height of 8cm. You also have 2 triangles, with a base of 19cm - 7cm / 2 = 6cm since it is the entire bottom line subtracted by the top; they will have a height of 8cm each.
To calculate the rectangles areas, simply do length x width, which are:
4cm x 7cm = 28cm²
8cm x 7cm = 56cm²
Next, since the triangles are similar in measurements, instead of doing the normal calculation to find the area of a triangle, you can do base times height again, which is:
6cm x 8cm = 48cm²
Add all the answers together to get the final area, which is 132cm².
