ABCD is a trapezium. AD and BC are parallel. a) work out the length of BD to one decimal place. b) work out the length of CD to one decimal place

a) The length of B D = 12 .06 cm

b) The length of CD = 13 .36 cm

Step-by-step explanation:  

Step(i):-

Given the side of the length AB = 10 cm

From diagram

In diagram given angle α = 56°

cross multiplication , we get

Step(ii):-

we have BC = 18 cm

B D = 12 .06

By using Pythagoras theorem

BC² = B D² + C D²

C D² = BC² - B D² = (18)² - (12.06)²

C D²  = 324 - 145.44

C D² = 178.56

CD = √178.56 = 13.36

Conclusion:-

a) The length of B D = 12 .06 cm

b) The length of CD = 13 .36 cm

the answer is b.)

< 1=< 2

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour