Answer: 0.00009
Step-by-step explanation:
9*10^-5 = 9/(10^5) = 9/100000 = 0.00009
(1.5) decimal form (mixed number form= 1/2-1) hope this helps.
9514 1404 393
Answer:
21.46 mm^2
Step-by-step explanation:
The area of the square is ...
A = s^2 = (10 mm)^2 = 100 mm^2
The area of the circle is ...
A = πr^2 = π(5 mm)^2 = 25π mm^2 ≈ 78.54 mm^2
Then the shaded area is ...
100 mm^2 -78.54 mm^2 = 21.46 mm^2 . . . shaded area
Answer:
Step-by-step explanation:
Hi there!
Open up the parentheses
Combine like terms
Divide both sides by 8 to isolate
I hope this helps!
Ahh, this question goes all the way back to my year 9 test a couple years ago; which I got wrong back then - I now know how
Firstly we find the expression for the area (using x as the walk way):
>50x * 2 (the left and right)
>20x * 2 (the top and bottom)
>4 * x^2 (the corners)
Add them all together , Area = 140x + 4x^2
Now we place the deck's area, <u>456</u> into the expression
456 = 140x + 4x^2
Solve for x
I'm a bit rusty on this i'm afraid, but I believe the only way to solve this is to factorise it
0 = 4x^2 + 140x - 456
0 = 4(x+38)(x-3) <
<u>x must = -38 or = +3 (the numbers inside the brackets inverted)</u>
x must = +3 as it's logical, you can't have a negative width
The walkway is 3 feet wide, we can put this into our expression to double check this,
<em>456 = 140*(3) + 4(3)^2</em>
<em>456 = 420 + 4*9</em>
<em>456 = 420 + 36</em>
<em>456 = 456
</em>Yes, 3 feet wide is correct.
*Note, I tried to keep this simple, please let me know if I didn't go into enough detail anywhere