Answer: 35 inches.
Step-by-step explanation:
We know that:
hypotenuse = 5*y in
cathetus 1 = (x + 8) in
cathetus 2 = (x + 3) in
The perimeter of the triangle is 76 inches, then:
5*y + (x + 8) + (x + 3) = 76
5*y + 2*x + 13 = 76
We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.
The shorter leg is x + 3, then:
5*y - (x + 3) = 17
Then we have the equations:
5*y + 2*x + 11 = 76
5*y - (x + 3) = 17
With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.
x = 5*y  - 3 - 17 = 5*y - 20
x = 5*y - 20
Now we can replace this in the other equation, we get:
5*y + 2*x + 11 = 76
5*y + 2*(5*y - 20) + 11 = 76
15*y - 40 + 13 = 76
15*y - 29 = 76
15*y = 76 + 29 = 105
and remember that the hypotenuse is equal to 5*y, then we want to get:
3*(5*y) = 105
5*y = 105/3 = 35
5*y = 35
Then te length of the hypotenuse is 35 inches.
 
        
             
        
        
        
Answer:
y = 3/4 + 7
Step-by-step explanation:
you must put the equation into the form of y = mx + b
add 6x to both sides and put it in front of the 56
8y = 6x + 56
y must be by itself by x does not so we divide everything by 8
y = 6/8x + 7
we must simplify the fraction 6/8
y = 3/4x + 7
 
        
             
        
        
        
Answer:
56 + -56 = 0
Step-by-step explanation:
because when there is a negative and a positive you add them together getting 0
Sorry its hard to explain but yes you are correct
I hope this helps
Have a great day!
 
        
                    
             
        
        
        
Answer:
7.6 in
Step-by-step explanation:
c = 2πr       Divide each side by 2π
r = C/2π     Insert values
r = 48/(2×3.14)
r = 48/6.28
r = 7.6 in
 
        
             
        
        
        
It would take 10.7 years.
The formula for continuously compounded interest is:

where P is the principal, r is the interest rate as a decimal number, and t is the number of years.
Using our information we have:

We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:

Divide both sides by P:

Take the natural log, ln, of each side to "undo" e:

Divide both sides by 0.065: