6018

幾個英文的數學題目 (火燒眉毛般的急)

1/ Mr. T

who is y years old

has been the manager of a company for more than 20 years. Mr. T has c children

half of whom are girls. The company that Mr. T manages has e emplyees

more than one for each year Mr. T has been a live. The product yce = 6018. How old is Mr. T and how many boys does he have/2/ A convex polyhedron has 12 square faces

8 regular hexagon faces

and 6 regular octagon faces. At each vertex of the polyhedron

one square

one hexagon

and one octagon meet. How many of the line segments that connect pairs of vertices lie in the interior of the polyhedron rather than along an edge or across a face?作法簡單打就行了

不過答案有可能是複雜的~
1.6018=2*3*17*59c = 2y = 3*17 = 51e = 59boy = c/2 =1.2.12個四邊形

48個邊

12*(C(4

2)-4)=12*2=24條對角線8個六邊形

48個邊

8*(C(6

2)-6)=8*9=72條對角線6個八邊形

48個邊

6*(C(8

2)-8)=6*20=120條對角線邊=(48 48 48)/2=72(edges)頂點=72*2/3=48(vertices)48頂點有C(48

2)=1128(segments)1128(segments) - 72(edges) - 216(across a face) = 840 interior segments依我猜的題意解的.若有謬誤.尚祈指正
half of whom are girls

girls是複數

表示有兩個或更多的女兒

答案就不該是