Answer:
The distance between corner to corner is equal to √10 times the width.
D = √10*W
Step-by-step explanation:
For a rectangle of length L and width W, the distance between two opposite corners can be calculated if we use the Pythagorean's theorem, where we can think on the length as one cathetus, the width as another cathetus and the diagonal as the hypotenuse.
Then the length of the diagonal is:
D^2 = L^2 + W^2
D = √( L^2 + W^2)
In this case we know that the length is 3 times the width, then:
L = 3*W
Replacing this in the equation for the diagonal we have:
D = √( (3*W)^2 + W^2) = √( 9*W^2 + W^2)
D = √( 10*W^2) = √10*√W^2 = √10*W
D = √10*W
The distance between corner to corner is equal to √10 times the width.
H= 445.36
because you bring the 86.43 over to the 531.79. which would make 86.43 a negative number. so you subtract 531.79 by 86.43
If x is the age and y is the diameter of the trunk, write the equation:
ax+b=y
We must solve for a and b with the given information.
If (x, y) is (1, 4), we have:
a+b=4
If (x, y) is (10, 25), we have:
10a+b=25
Multiply the first equation by 10 to get:
10a+10b=40
Subtract the second equation from this to get:
9b=25
Thus b=25/9. a=4-25/9=11/9, so our equation is 11x/9+25/9=y.
