Answer:
162 square feet
Step-by-step explanation:
Let the side lengths of the square be l feet each.
Then the diagonal together with any two sides forms an isosceles right triangle.
We can apply the Pythagoras Theorem, which says that, the sum of the squares of the two shorter legs equals the square of the hypotenuse ( the diagonal) in this case.
Divide both sides by
The area of the square garden is 162 ft²
The number of 1 foot by 1 foot square planter boxes that can fill this garden is
Answer:
- large: 40 lbs
- small: 20 lbs
Step-by-step explanation:
A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.
Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...
L + S = 60 . . . . . . combined weight is 60 lbs
70L +60S = 4000 . . . . weight of boxes in the truck
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We can solve this by substituting for s in the second equation.
70L +60(60 -L) = 4000
10L = 400 . . . . . . . . . subtract 3600, simplify
L = 40
S = 60 -L = 20
A large box weighs 40 pounds; a small box weighs 20 pounds.
4y - 9 = 3
add 9 to both sides
4y = 12
divide both sides by 4 so 4 divided by 4 is one and 12 divided by 4 is 3 thus getting your answer of 3
y=3
13.5 because 4.5 times 3 is 13.5
