1.) 9 cm
2.) 5 cm
3.) 10 in
4.) 4 in
Answer:
sorry don't know but hope you have a amazing year
Answer:
A
Step-by-step explanation:
pythagorean theorem
A^2+B^2=C^2 do that for all sides then add
Answer:
- dimensions: 12 ft by 5 ft
- area: 60 ft²
Step-by-step explanation:
Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...
x² + (x+7)² = 13²
2x² +14x + 49 = 169 . . . . eliminate parentheses
x² +7x -60 = 0 . . . . . subtract 169 and divide by 2
(x +12)(x -5) = 0 . . . . factor the equation
x = -12 or +5 . . . . . . . only the positive value of x is useful here.
The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².
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<em>Comment on finding the area</em>
The quadratic equation above can be rearranged and factored as ...
x(x +7) = 60
Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.
For this case we will complete the table part by part.
We have then:
First row:
Snake = Rabbit = 4
Rabbit = Not Snake = 18
Total = 4 + 18 = 22
Second row:
Not rabbit = Snake = 11
Not rabbit = Not Snake = 26
Total = 11 + 26 = 37
Third row:
Total = 4 + 11 = 15
Total = 18 + 26 = 44
Total = 59