During a hurricane, thousands of pine trees snapped off to form right triangles. suppose that for one such tree, the vertical distance from the base of the broken tree to the point of the break was 4.2 ft. the length of the broken part was 12.1 ft. how far along the ground was it from the base of the tree to the point where the broken part touched the ground? it is approximately ft or ft^2 from the base of the tree to the point where the broken part touches the ground.
(type an integer or decimal rounded to the nearest tenth as needed.)

Using the Pythagorean theorem:

a^2 + c^2 = c^2

Where a and b are the base and height and c is the hypotenuse.

You are given the height and the hypotenuse:

4.2^2 + b^2 = 12.1^2

17.64 + b^2 = 146.41

Subtract 17.64 from both sides:

b^2 = 128.77

Take the square root of both sides:

b = 11.347 feet

b = 11.3 feet.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2