Answer:
d^2 = 30^2 + 12^2
e^2 = d^2 + 8^2
e^2 = 30^2 + 12^2 + 8^2
e = √(30^2 + 12^2 + 8^2) = 33.3 ft
9514 1404 393
Answer:
7. d. l = 6.48 cm, w = 6.48 cm
8. d. square
Step-by-step explanation:
For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.
__
7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.
__
8. In light of the above, the shape is a square.
_____
The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.
IT SHOULD KEEP THE SAME PROPORTION AS 1/10.
For each dollar earned one tenth is saved or 1/10 and for the $52,000, the saved money is 52000/10 = $5,200
Answer:
Notebooks: $2.75 each; pens: $1.10 each
Step-by-step explanation:
Let n and p represent the unit cost of notebooks and the unit cost of pens.
Then 3n + 2p = $10.45, and 4n + 6p = $17.60.
Let's use elimination by addition/subtraction to find n and p.
Multiplying the first equation by -3, we get -9n - 6p = -$31.35
and then combine this with the second: 4n + 6p = $17.60
-----------------------------
Then, -5n = -$13.75
Dividing both sides by 55, we get n = $13.75 / 5, so we now know that n = $2.75. Each notebook costs $2.75.
Subbing $2.75 for n in the first equation, we get:
3($2.75) + 2p = $10.45, or
$8.25 + 2p = $10.45
Solving for p, we get p = $2.20 / 2 = $1.10.
Each pen costs $1.10.