First, we can draw a picture. The cable goes from the top of the pole to the ground (with the pole on the right in my drawing), and the point on the ground is 10 m away from the base of the pole. This forms a right triangle, with the right angle being between the 10 m distance and the pole itself. We can then apply the Pythagorean Theorem, so

a²+b²=c², with c being the side opposite the right angle (the cable), getting us

10²+(length of pole)² = 19²

19²-10²=(length of pole)²

= 261

square root both sides to isolate the length of the pole

length of pole ≈ 16.2 m

5 0

3 years ago

A circle with a 10 inch diameter is cut from a square piece of tin with 10 inch sides. To the nearest tenth of a square inch, fi

saveliy_v [14]

The area of the circle is

... A = (π/4)d² . . . . where d=10 in

The area of the square is

... A = d² . . . . . . . . where d=10 in

The amount of the square that is not in the circle is

... (1 -π/4)d² = 0.2146018d² ≈ 21.5 in² . . . for d=10 in

5 0

3 years ago

Fiona drew a regular polygon that first maps directly onto itself after rotating 15 degrees. How many sides does the polygon hav

AlexFokin [52]

Answer:

Step-by-step explanation:

Let n = number of sides

15n = 360

divide both sides of the equation by 15

n = 24

5 0

3 years ago