Shaded circles = 4
Total circles = 12
=
as a simplified expression =
We can simplify it even more =
Fraction =
Equivalent decimal = 1 ÷ 3 = 0.33
Answer:
210 yd³
Step-by-step explanation:
V=LWH
V=(8 1/3)(4 1/5)(6)
V=(25/3)(21/5)(6)
V=(525/15)(6)
V=3150/15
V=210
Therefore, the volume of the prism is 210 yd³
9514 1404 393
Answer:
3929 square feet
Step-by-step explanation:
The radius of the fence circle is half its diameter, so is 51.4 feet. The area of a circle is given by the formula ...
A = πr^2
The difference in areas of the two regions is found by subtracting the smaller area from the larger one. So, the difference in area between the fenced area of radius 51.4 feet and the playground area of radius 37.3 feet is ...
∆A = π(51.4^2 -37.3^2) = 1250.67π ≈ 3929 . . . square feet
Answer: 7.81 feet
Step-by-step explanation:
This scenario forms a right-angled triangle where Ruby's height of 5 feet is the height of the triangle. Her 6 feet long shadow is the length of the triangle and the distance from the top of her head to the end of the shadow is the hypotenuse.
This can therefore be solved by the Pythagorean formula:
c² = a² + b²
where ;
c = hypotenuse
a = height
b = length
c² = 5² + 6²
c² = 25 + 36
c² = 61
c = √61
c = 7.81 feet
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