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Liula [17]
3 years ago
6

The length of a rectangle is five centimeters more than its width, w. If the perimeter of the rectangle is 26 centimeters, what

is the area of the rectangle, in square centimeters?
A.104
B.676
C.36
D.26
Mathematics
1 answer:
dem82 [27]3 years ago
7 0
L is 5 more than W
L=5+W
P=2(L+W)
P=26
26=2(L+W)
L=5+W
sub
26=2(5+W+W)
divide both sides by 2
13=5+W+W
13=5+2W
minus 5 both sides
8=2W
divide 2 both sides
4=W

L=5+W
L=5+4
L=9

L=9 cm
W=4 cm

area=LW
area=9*4
are=36 cm^2

C is answer
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Karo-lina-s [1.5K]

\text{The scientific notation:}\\\\a\times10^n\\\\1\leq a


a.\\(5\times10^3)\times(3.5\times10^{-1})=(5\times3.5)\times(10^3\times10^{-1})\\\\=15.75\times10^{3+(-1)}=15.75\times10^2=1.575\times10\times10^2\\\\=1.575\times10^{1+2}=\boxed{1.575\times10^3}

b.\\(8\times10^2)\div(4\times10^3)=(8\div4)\times(10^2\div10^3)=2\times10^{2-3}\\\\=\boxed{2\times10^{-1}}

c.\\(6\times10^{-3})^2=6^2\times(10^{-3})^2=36\times10^{-3\cdot2}=36\times10^{-6}=3.6\times10\times10^{-6}\\\\=3.6\times10^{1+(-6)}=\boxed{3.6\times10^{-5}}

Used:\\\\a^n\times a^m=a^{n+m}\\\\a^n\div a^m=a^{n-m}\\\\(a^n)^m=a^{n\cdot m}

5 0
3 years ago
Your office parking lot has a probability of being occupied of 1/3. You happen to find it unoccupied for nine consecutive days.
olasank [31]

Answer:

0.4

Step-by-step explanation:

Let X be the random variable that represents the number of consecutive days in which the parking lot is occupied before it is unoccupied. Then the variable X is a geometric random variable with probability of success p = 2/3, with probability function f (x) = [(2/3)^x] (1/3)

Then the probability of finding him unoccupied after the nine days he has been found unoccupied is:

P (X> = 10 | X> = 9) = P (X> = 10) / P (X> = 9). For a geometric aeatory variable:

P (X> = 10) = 1 - P (X <10) = 0.00002

P (X> = 9) = 1 - P (X <9) = 0.00005

Thus, P (X> = 10 | X> = 9) = P (X> = 10) / P (X> = 9) = 0.00002 / 0.00005 = 0.4.

6 0
3 years ago
The wholesale price for a desk is $199. A certain furniture store marks up the wholesale price by 24%. Find the price of the des
eduard

Answer:

246.76$

Step-by-step explanation:

199 x .24 =

47.76

199 + 47.76 =

246.76

5 0
3 years ago
Eric paints 8 rooms in 3 days for $600.
sweet [91]
He earns 200 dollars per day. He earns 75 dollars per room. He can paint about 16 rooms in 6 days.
5 0
3 years ago
Find the greatest common factor of these monomials <br><br> 34a^2 b 24a^5 b^2
Ronch [10]
<span>34a^2 b = 2a^2b(17)

24a^5 b^2 = 2ab(12a^3b)

answer

</span>greatest common factor of these monomials  = 2ab
7 0
4 years ago
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