The length around the rug is the circumference.
The formula is C = 2 x PI x r
C = 2 x 3.14 x 5 = 31.4 feet
Answer: I. only
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Explanation :
II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal. The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.
I. True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.
III. False. Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.
Answer: 0.1008188
Step-by-step explanation:
The question will usng the poisson distribution formula:
Given :
Mean(λ) number of occurrence in a given interval = 3
P(X=x) = Probability of exactly x occurrence in a given interval
Number of desired occurence(x) = 5
P(X=x) = [(λ^x) * (e^-λ)] / x!
Where ; e = base of natural logarithm = 2.7182818
P(X=5) = [(3^5) * (e^-3)] / 5!
P(X=5) = [(243) * (0.0497870)] / 120
P(X=5) = [12.098257] / 120
P(X=5) = 0.1008188
Answer:
Volume = 315 cm³
Step-by-step explanation:
Volume = Length × Width × Height
→ Substitute in the values
Volume = 6 cm × 3.5 cm × 15 cm
→ Simplify
Volume = 315 cm³
The answer is 515. Because 5×103 is 515