Answer:
162 and 
Step-by-step explanation:
To find the original number multiply by the reciprocal of the multiplier, that is
90 × 
= 
= 162
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Similarly
Change the mixed number into an improper fraction
5 
= 
, then
× 
( cancel 35 and 7 by 7 / cancel 6 and 3 by 3 )
= × 
=
The long answer is <span>28.571428%, but I would round it upwards to make it seem more realistic.</span>
Answer:
5x^-2 is rewritten as a negative exponent
Let, one leg be x units.
since the other leg is 9.0 units shorter than the other,
the measure of the other leg =x-9
hypotenuse =13.0 units
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.
x^2 +(x-9)^2 =13^2
x^2 + x^2 -18x +81 = 169
2x^2-18x-88=0
Divide the whole equation by 2
x^2 - 9x -44 =0
Let's use the quadratic formula to find the roots.
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a
a=1 b=-9 c=-44
x= [9±sqrt(81+176)]/2
=[9±sqrt(257)]/2
=[9±16.03]/2
=25.03/2 or -7.03/2
length of a triangle cannot be negative,
Therefore, x=25.03/2 =12.52
one leg =12.5 units
other leg =12.52-9 =3.5 units
