1) Reduza os números abaixo a uma potência de base 2
2 answers:
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Answer:
The least possible score a team could have earned is 3.
Step-by-step explanation:
From the given information it is clear that the total number of teams is 3.
Total number of members in each team is 3.
A team earned 6 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 5.
It means the points for 1st, 2nd, 3rd, 4th, and 5th place are 5, 4, 3, 2 and 1 respectively.
Total points that can be earned all teams together = 5+4+3+2+1=15
There were no ties, disqualifications, or withdrawals.
To minimize the score of a team, we have to maximize the score of the other two teams.
It is given that no team earned more than 6 points,
Let two teams earn there maximum score. i.e. 6. So the score of third team is
Therefore, the least possible score a team could have earned is 3.
Answer:
Option B
The measure of angle b is 75°
Step-by-step explanation:
Method 1
we know that
In a inscribed quadrilateral, the opposite angles are supplementary
so
∠a+60°=180° ------> equation A
∠b+105°=180° -----> equation B
To find the measure of angle b solve the equation B
∠b+105°=180°
Subtract 105° both sides
∠b+105°-105°=180°-105°
∠b=75°
Method 2
see the attached figure with letters to better understand the problem
we know that
The inscribed angle measures half that of the arc comprising
so
∠105°=(1/2)[arc ADC]
arc ADC=2*105°=210°
<em><u>Find the measure of arc ABC</u></em>
we know that
arc ABC+arc ADC=360° -----> by complete circle
arc ABC=360°-210°=150°
<u><em>Find the measure of inscribed angle b</em></u>
∠b=(1/2)[arc ABC]
substitute
∠b=(1/2)[arc 150°]=75°
