Answer:
b, 1 5/8
Step-by-step explanation:
the area is 4 15/32 square meters, and you find the area by doing length x width. the length is provided, 2 3/4. so all you have to do is divide 4 15/32 by 2 3/4 and you get 1 5/8
<h3>
Answer: 31 games</h3>
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Explanation:
- 32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
- 16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
- 8/2 = 4 games happen in round 3.
- 4/2 = 2 games in round 4.
- 2/2 = 1 game as the final championship.
Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.
To get the total number of games played, we add up the quotients
16+8+4+2+1 = 31
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Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1
We can write that rule as

which is equivalent to

Arctan (√3 /3) = 30°. = π/6 rad
That is the value searched, in degrees and radians.
You can verifiy that tan(30°) = sin(30°) / cos(30°) = [1/2] / [√3/2] = 1/√3 = √3 / 3
Since the angles are bisecting < RSU = < UST
substitution----- 4x+16=9x-9
subtract 4x from both sides----- 16=5x-9
add 9 to both sides-----25=5x
divide by 5 on both sides------ 5=x
The value of x is 5
substitute the value of x in both expressions
1st expression: 4x+16
substitute the value of x------ 4(5)+16= 20+16=36
2nd expression: 9x-9
substitute the value of x-----9(5)-9=45-9=36
< RST= <RSU+<UST
<RSU=36 degrees
<UST= 36 degrees
------------------------------------you have calculated both above-------------------------------------------
m<RST= 36 + 36=72 degrees