Answer:
5 years
Step-by-step explanation:
Since the tree grows 4 feet every single year and the second year it was 12 feet tall then that means that when you bought the tree it was 8 feet tall (12-4 = 8). Therefore, using these values we can write an equation to calculate the number of years it will take for the height of the tree to be 28 feet. We do this by multiplying 4ft by the variable of a number of years (x) and then adding that product to 8ft which is the initial height. All of which should add up to 28 ft.
28 ft. = 8 ft. + 4x ... subtract both sides by 8
20 ft. = 4x ... divide both sides by 4
5 years = x
Therefore, it will take 5 years from the initial purchase for the tree to be 28ft tall.
Answer:
Step-by-step explanation:
What is the question?
Answer:
1. right triangle - a triangle with one angle that measures 90 degrees
2.radius- a line segment from the center of a circle to any point on the circle
3. ray- a part of a line that has 1 endpoint that goes in one direction forever
4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same
5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure
6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure
Step-by-step explanation:
Answer:
The diagonal is 14sqrt(2) ft
Step-by-step explanation:
The area of a square is given by
A =s^2 where s is the side length
196 = s^2
Take the square root of each side
sqrt(196) =sqrt(s^2)
14 = s
The side length is 14 ft
Now we can use the Pythagorean theorem to find the length of the diagonal
a^2 + b^2 = c^2
The side lengths of the triangle are s = 14, and the diagonal is the hypotenuse
14^2 + 14^2 = c^2
196+196 = c^2
392 = c^2
Take the square root of each side
sqrt(392) = sqrt(c^2)
sqrt(196 *2) = c
We can separate this into two pieces sqrt(ab) = sqrt(a) sqrt(b)
sqrt(196)sqrt(2) =c
14sqrt(2) = c
The diagonal is 14sqrt(2) ft
