Answer:
Step-by-step explanation:
The three heaviest eggs are between and
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Answer
12 and 20
Step-by-step explanation:
Answer:
8 / sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan A = BC / AC
tan 30 = BC / 8
8 tan 30 = BC
8 * sqrt(3)/3 = BC
8/3 sqrt(3) = BC
Based on the calculations, the exact area of this rectangle is equal to 16√3 + 32 mm².
<h3>How to calculate the area of a rectangle?</h3>
Mathematically, the area of a rectangle can be calculated by using this formula:
Area = Length × Width
Note: Radius (R) is equal to 2 mm.
Joining the center of the circles would form an equilateral triangle with side length of 2R. Also, the height of the equilateral triangle is given by:
Height = √2R² - R²
Height = √3R
For the length and width of this rectangle, we have:
Length = R + 2R + R
Length = 4R
Width = 2R + height of equilateral triangle
Width = 2R + √3R
Width = (2 + √3)R
Therefore, the area of a rectangle becomes:
Area = 4R × (2 + √3)R
Area = 4(2 + √3) × R²
Area = 4(2 + √3) × 2²
Area = (8 + 4√3) × 4
Area = 16√3 + 32 mm² ≡ a√3 + b
In conclusion, a = 16 and b = 32.
Read more on rectangle here: brainly.com/question/25292087
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Answer:
5 hours and 28 minutes
Step-by-step explanation: