A Pythagorean spiral is constructed by drawing right triangles on the hypotenuse of the other right triangles. Start with a right triangle in which each leg is 1 unit long. Use the hypotenuse of that triangle as one leg of a new triangle and draw the other leg 1 unit long. A spiral has been started below, continue the pattern until a spiral with 12 triangles is formed. 1. Determine the Tangent of the angle at the centre of the spiral for each of the first five triangles. 2. Use this pattern to predict the tangent of the 100th triangle.

The angle is determined by dividing 360 by the number of vertexes that it took to complete the circle. The tangent of the 100th triangle would be the same respectively.

Step-by-step explanation:

I remember learning this in kindergarten.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.