SHORT ANSWER: 84cm
Let width = w
Let length = w + 5
The area of a rectangle is found by multiplying its width by length and the problem states that the area is 84 cm2.
(Width)(Length) = 84
(w)(w + 5) = 84
w2 + 5w = 84
w2 + 5w - 84 = 0
(w + 12)(w -7) = 0
w + 12 = 0
w = -12
The width of a rectangle can't be NEGATIVE!!! Forget about that!
w - 7 = 0
w = 7
Now go back to naming the variables and replace the w with 7.
Length = w + 5 = 7 + 5 = 12
Width is 7 cm. Length is 12 cm.
Check it. Is 7 x 12 = 84? Yes.
Answer:
(X, Y, Z) = (8, 28, 32)
Step-by-step explanation:
The ratio units will form a geometric sequence if the middle one is the square root of the first and last:
Y' = √(2·8) = 4
To get this value from 7, we must subtract 3. In the real sequence we must subtract 12, so each "ratio unit" must stand for 12/3 = 4 real units, and the real numbers X, Y, Z are 2·4 = 8, 7·4 = 28, 8·4 = 32.
(X, Y, Z) = (8, 28, 32)
(X, Y-12, Z) = (8, 16, 32) . . . . a geometric sequence with a ratio of 2
Answer:
A=2
Step-by-step explanation:
Your question is incomplete i guess
The top later is 5 because if the ladder is 10 inches half is 5 and the other half is 5