First off, we'll convert the mixed fractions to "improper",
9514 1404 393
Answer:
C. 12cm
Step-by-step explanation:
The equation for the perimeter of the rectangle is ...
P = 2(L+W)
34 = 2(n +m)
Solving for m, we get
m = 17 -n . . . . . . . divide by 2, subtract n
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The Pythagorean theorem gives the relationship between the sides and the hypotenuse
m^2 +n^2 = (n+1)^2
(17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m
289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses
n^2 -36n +288 = 0 . . . . . . . put in standard form
(n -12)(n -24) = 0 . . . . . . . . . factor
n = 12 . . . . . . . . . . n=24 is an extraneous solution here
The value of n is 12 cm.
State tax is computed by first subtracting the amount of exemptions
(5*$1000=$5000) from annual income and then multiplying it by the state
tax.
($18150-$5000)*5%= $657.50
Answer:
10 boys
Step-by-step explanation:
6:2 simplfies to 3:1 30 / 3 = 10
30:10 simplfies down to 6:2
Answer:
answer : x = 3±√ 119 / 16
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