Answer: Wouldn't the answer be A?
Step-by-step explanation:
Answer:
-6/7 < -1/7
because it is more than negative one by seven
Answer: C) Contrapositive
The original conditional is in the form "If P, then Q"
The contrapositive is in the form "If not Q, then not P"
You flip the order of P and Q, and you also negate each piece. The original conditional and contrapositive can be proven to have the same truth values through the use of a truth table.
Answer:
The perimeter of a rhombus with diagonals of 12 feet and 18 feet would be 60 feet.
Step-by-step explanation:
Perimeter of a rhombus: S1 + S2 + S3 + S4 = answer. (S stands for side.)
12 ft. + 18 ft. + 12 ft. + 18 ft. = 60 ft.
Answer:
400 m^2.
Step-by-step explanation:
The largest area is obtained where the enclosure is a square.
I think that's the right answer because a square is a special form of a rectangle.
So the square would be 20 * 20 = 400 m^2.
Proof:
Let the sides of the rectangle be x and y m long
The area A = xy.
Also the perimeter 2x + 2y = 80
x + y = 40
y = 40 - x.
So substituting for y in A = xy:-
A = x(40 - x)
A = 40x - x^2
For maximum value of A we find the derivative and equate it to 0:
derivative A' = 40 - 2x = 0
2x = 40
x = 20.
So y = 40 - x
= 40 - 20
=20
x and y are the same value so x = y.
Therefore for maximum area the rectangle is a square.