Answer:
81π
Step-by-step explanation:
-The sum of central angles in a circle add up to 360°.
-Let x be the area of the circle.
-Given the area of a 120° is 27π, the circles area can be calculated as:
Hence, the area of the circle is 81π
Answer:
There are 15 men in the dance recital.
Step-by-step explanation:
If 20 people is 4 parts, then 5 people are 1 part. Due to that, 15 people will equal 3 parts.
The grams of apples left is 413765 grams
<h3>How to determine the value</h3>
From the information given, we have that:
- There are 36 crates of apples
- Each contains 25 kilograms of apples
- 486,235 grams of apples were sold
If we have 36 crates, let's determine the the total grams of apples
1 crate = 25 kilograms = 25000 grams
36 crates = x
x = 25000 × 36
x = 900000 grams
The total grams of apple is 900000 grams
The grams left = Total - sold = 900000 - 486,235 = 413765 grams
Thus, the grams of apples left is 413765 grams
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Answer:
Sam is correct.
Step-by-step explanation:
Exponent rules state that when an number with an exponent is raised to a power, the two exponents multiply. For example, a^2^2=a^4.
9514 1404 393
Answer:
- red division: 6 teams
- blue division: 5 teams
Step-by-step explanation:
We can let r and b represent the numbers of teams in the red and blue divisions, respectively. The total number of goals scored in each division will be the average for that division times the number of teams in that division.
r - b = 1 . . . . . . there is 1 more red team than blue
4.5r +4.2b = 48 . . . . . . total goals scored per week
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Solving by substitution, we have ...
r = b +1
4.5(b +1) +4.2b = 48 . . . . substitute for r
8.7b +4.5 = 48 . . . . . . . . simplify
8.7b = 43.5 . . . . . . . . . . subtract 4.5
b = 43.5/8.7 = 5 . . . . . divide by 8.7
r = b +1 = 6 . . . . . . . . . find r
There are 6 red teams and 5 blue teams.
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<em>Additional comment</em>
The basic idea is that you make an equation for each relation given in the problem statement. For a problem like this, you do need to have an understanding of how the average number of goals would be calculated and how that relates to the total goals.
