First let us assign the variables for the two lengths:
x = 1st integer
x + 1 = 2nd consecutive integer = the
hypotenuse of the right triangle
The 2nd consecutive integer should be the hypotenuse
since its value should be highest among the three sides.
Now using the hypotenuse formula we calculate for x:
(x + 1)^2 = 5^2 + x^2
x^2 + 2x + 1 = 25 + x^2
2x + 1 = 25
2x = 24
x = 12 m
So other integer is
x + 1 = 13 m
Therefore the other sides are 12 m and 13 m.
Answer:
x>12
Step-by-step explanation:
Y=mx+b
6x+2y=-88
2y=-88-6x
y=-44-3x
y=-3x-44
m is the slope
b is the y-intercept
Answer:
The length of the prism is 4.87 inches
The width of the prism is 2.87 inches
The height of the prism is 2.87 inches
Step-by-step explanation:
Let
l -----> the length of the prism in inches
w ----> the width of the prism in inches
h---> the height of the prism in inches
we know that
The volume of the prism is
we have
so
-----> equation A
----> equation B
-----> equation C
substitute equation B and equation C in equation A and solve for l
Solve the cubic equation by graphing
using a graphing tool
The solution is l=4.87 in
see the attached figure
Find the value of w
The approximate dimensions of the prism are
The length of the prism is 4.87 inches
The width of the prism is 2.87 inches
The height of the prism is 2.87 inches
There is a constant rate of change on the graph