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:
10+2+0.3+0.05+0.007
Step-by-step explanation:
Answer:
i think its x= 0.75
Step-by-step explanation:
substitute:
8x × 5 = 40x
8x × 10 = 80x
8 × 5 = 40
5 × 10 =50
40x + 80x = 40 + 50
add like terms
so it'd be:
120x = 90
now divide 90 by 120 and that would give you the value of x alone which is 0.75
Answer:
<em>figure</em><em> </em><em>of</em><em> </em><em>cuboid</em>
<em>volume</em><em> </em><em>of</em><em> </em><em>cuboid</em><em>=</em><em>l×</em><em>b</em><em>×</em><em>h</em>
Step-by-step explanation:
(10×3×4)in cube=120incube
