Answer:
Possible values of x are 50 < x < 110.
Step-by-step explanation:
Consider the perimeter of the field:
2x + 2(x + 30) < 500
2x + 2x + 60 < 500
4x < 440
x < 110.
Consider the area of the field:
x(x + 30 ) > 4000
x^2 + 30x - 4000 > 0
(x - 50)(x + 80) > 0
The critical values are x = -80 and 50.
As x is a width it must be positive so x > 50.
Answer:
D. 4 ft.
Step-by-step explanation:
Diagonals are the lines that extend from one corner of the square/rectangle to the opposing/reflectory side. So an example of a diagonal would be from the upper left hand corner of this shape to the lower right hand corner. This would be a diagonal. Since We know that both diagonals intersect at the center, each diagonal halves itself. So, since we know that 1/2 of a diagonal = 2 feet, then if we add the second half of the diagonal, or 2 more feet, we get the length of a diagonal.
2 ft. + 2 ft. = 4 ft.
And since the lengths of diagonals in squares and rectangles are congruent, we can see that if one diagonal is equal to 4 ft., then the length of the other diagonal will also be 4 ft.
Answer: x=-14
Step-by-step explanation:
Answer:
Step-by-step explanation:
the equatoin is 4x+77=497
and x is the hours spent
so solving it you subtract 77 from 497 which is 420 and 420/4 is equal to 105
