Which expression is equivalent to 6(2x - 3)?
1 answer:
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Answer:
90 different ways
Step-by-step explanation:
We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.
To solve this problem, we need to calculate a permutation of 10 choose 2.
The formula for a permutation of n choose p is:
So we have:
So there are 90 different ways of choosing a president and a vice-president.
The point of observation is 2500 m away from the foot of the building.
The angle of elevation is 4°.
We need to find the height 'h' of the building.
With respect to 4°,
2500 is the adjacent side.
'h' is the opposite side.
The trigonometric ratio associating opposite & adjacent is tan.
We have
Cross multiplying we get
h = 2500 tan4°
h= 174.82 m
Option B) is the right answer.
Answer:
25%
Step-by-step explanation:
George is 33% (
%) richer than Pete. Let Pete's percentage of wealth be 100%.
Thus George percentage of wealth = 100% + %
= %
= 133%
Pete's percent poorer than George can be determined by;
= ÷
× 100
= ×
×100
= 0.25 × 100
= 25%
Pete is 25% poorer than George.