Answer:
1st = 4×10 ^-9
2nd= 4×10^1
3rd = 4×10^7
4th = 4×10^-5
Step-by-step explanation:
for whole numbers you just have to count from the ending till the number indicated beside the x10
for decimals you count from the front starting at the decimal till you cover the whole number
Answer: .4
Step-by-step explanation:
.
Answer:
Proper Subsets = 1023
Step-by-step explanation:
Given
Required
Determine the proper subsets
Proper Subset (P) is calculated using;
Where
In this case;
So:
Hence;
<em>Proper Subsets = 1023</em>
<h2>
Therefore the length of the living room = 24 ft</h2>
Step-by-step explanation:
Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is 
its length
Let ,the length of the living room is = x ft
Then width =
ft
Therefore the area of the living room =
According to problem,
⇔
⇔
⇔
⇔
⇔
Therefore the length of the living room = 24 ft
1. Let's call:
x: the width of the walkway.
b: 2x+16 (there is a widht "x" of the walkway on each side).
h: 2x+32 (there is a widht "x" of the walkway on each side).
A: 924 ft^2 ( the area of the pool of including the walkway).
2. The area of a rectangle is:
A=(b)(h)
b: the base of the rectangle (2x+16)
a: the height of the rectangle (2x+32)
3. Then, we have a quadratic equation:
924=(2x+16)(2x+32)
4x^2+64x+32x+512-924=0
4x^2+96x-412=0
4. We apply the quadratic formula to find the value of "x":
x=(-b±√(b^2-4ac))/2a
x=3.71
The answer is: The width of the walkway is 3.71 ft
