Lamian is a chinese noodle made by repeatedly folding and stretching dough to make noodles of varying thickness. a ball of dough is rolled into a long "rope" 222 centimeters (\text{cm})(cm)left parenthesis, start text, c, m, end text, right parenthesis in diameter. one end of the dough is held in each hand, and the dough is stretched and folded, making 222 separate strands. this process is repeated until the strands are the desired thickness. assume that each time the dough is stretched, the thickness of each noodle decreases by 30\%30%30, percent. how many folds will be needed to produce noodles whose thickness is at most 0.5\,\text{cm}0.5cm0, point, 5, start text, c, m, end text?

answer: the answer is one

step-by-step explanation:

pemdas, in this situation there is no parenthesis or exponents so you go to multiplication, 1x1=1, then division 1/1= 1 then addition 1+1=2 then subtraction 2-1=1

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.