You are using a^2+b^2=c^2
since c is the hypotenuse
#1 the equation would be 16^2+b^2=34^2
16^2= 256
34^2= 1156
1156-256= 900
b^2=900 (now find square root of 900)
b= 30
You are now trying to find the hypotenuse or c in this so it is simpler
#2 equation - 4^2+2^2=c^2
16+4=c^2
20=c^2
c= 4.27
Answer:
$116800
Step-by-step explanation:
Step one:
given
principal= $40,000
rate= 5.5%
time = 20 years
Step two:
the final amount is expressed as

substitute

$116800
The answer is 480 because the equation is always length times width.
The area is given by
A = (5 + 2x) * (10 + 2x) - 50
Rewriting we have:
A = 50 + 10x + 20x + 4x ^ 2 -50
Rewriting we have:
A = 4x ^ 2 + 30x
Substituting the value of the area we have:
54 = 4x ^ 2 + 30x
Rewriting:
4x ^ 2 + 30x - 54 = 0
We look for the roots:
x1 = -9
x2 = 3/2
We take the positive root:
x2 = 3/2
Answer:
the value of x is:
x = 3/2