1. (a) Simplify the ratio 25 : 35
2 answers:
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There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.
Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.
We are required to find the number of ways in which the volunteers can be assigned.
Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.
n=n!/r!(n-r)!
Number of ways in which the volunteers can be assigned is equal to the following:
Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.
Number of ways =14
=14!/12!(14-12)!
=14!/12!*2!
=14*13/2*1
=91 ways
Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.
Learn more about combinations at brainly.com/question/11732255
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9514 1404 393
Answer:
(i) ∠CDF = 86°
(ii) ∠BAD = 141°
Step-by-step explanation:
(i) Angles CDF and GFD are "alternate interior" angles, so are congruent.
∠CDF = 86°
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(ii) Angles BAD and CDA are "alternate interior angles, so are congruent. Angle CDA is the sum of angles CDH and HDA. Angle CDH is supplementary to angle CDF, so is ...
∠CDH = 180° -∠CDF = 180° -86° = 94°
Then ...
∠CDA = ∠CDH +∠HDA = 94° +47°
∠CDA = 141°
