We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
Answer:
Alejandra worked 8 hours and Qasim worked 5
Step-by-step explanation:
195/15 is 13. They worked 13 hours in total. 8 is 3 more than 5 and together they equal 13.
Divide the total amount of money by the total amount of feet.
477.84/32 = $14.93
hope this helps :)
Seven hundred is the value of the seven in 43,782
The square root of 640 is 25.29
