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Answer:
24.3 ft
Step-by-step explanation:
If h is the height of the ladder up the tree, the geometry can be modeled as a right triangle with legs h and 6, and hypotenuse 25. The Pythagorean theorem gives you the relation ...
h² +6² = 25²
h² = 625 -36 = 589
h = √589 ≈ 24.3
The ladder reaches about 24.3 feet up the tree.
Answer:
B
Step-by-step explanation:
We can see that this equation is in point-slope form, which is given by the formula:
Where m is the slope and (x₁, y₁) is a point.
We have the equation:
So, we can see that our (x₁, y₁) is (5,17), respectively, and our m is -3.
Therefore, our slope is -3.
Our answer is B.
Answer:
3,136cm^2
Step-by-step explanation:
A square has 4 sides that are all equal to each other. This means the perimeter can be divided by the number of sides to find the measurement of each side.
224cm ÷ 4 = 56cm
Each side is 56cm
To find the area, we must multiply base and height. Since it is a square, it will be 56cm × 56cm.
56cm × 56cm = 3,136cm^2
Answer:
The other length of the trapezoid is 8 mm
Step-by-step explanation:
Answer:
Answer: 9 (y - 2) (y + 2)
Step-by-step explanation:
Factor the following:
9 y^2 - 36
Factor 9 out of 9 y^2 - 36:
9 (y^2 - 4)
y^2 - 4 = y^2 - 2^2:
9 (y^2 - 2^2)
Factor the difference of two squares. y^2 - 2^2 = (y - 2) (y + 2):
Answer: 9 (y - 2) (y + 2)