In ΔUVW, w = 9.7 cm, ∠W=110° and ∠U=42°. Find the length of u, to the nearest 10th of a centimeter

9514 1404 393

  6.9 cm

Step-by-step explanation:

The law of sines is useful here:

  u/sin(U) = w/sin(W)

  u = w · sin(U)/sin(W) = (9.7 cm)sin(42°)/sin(110°)

  u ≈ 6.9 cm

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.