The answer is B because the base of the triangle is a square as said then three triangles meet up at the point and make a pyramid
Answer:
Option (3)
Step-by-step explanation:
Since, flowerbed is in the shape of a right triangle,
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
(Hypotenuse)² = (12)² + (12)²
(Hypotenuse)² = 144 + 144
Hypotenuse = √288
Hypotenuse = 16.97
≈ 17 ft
Perimeter of the triangle = Sum of the measures of three sides of the triangle
= 12 + 12 + 17
= 41 ft
Therefore, Option (3) will be the correct option.
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Define price and weight
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Let the price of the diamond be y and the weight be x.
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General equation for y varies directly as square root of x
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y = kx², where k is a constant
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Find the constant k
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when x = 12, y = 7200
7200 = k(12)²
7200 = 144k
k = 7200 ÷ 144
k = 50
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Substitute k into the equation
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y = 50x²
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Calculate the weight of the two broken diamonds
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The diamond is broken into 3:1
3 + 1 = 4
4 shares = 12
1 share = 12 ÷ 4
1 share = 3 decigrams
3 shares = 3 x 3
3 shares = 9 decigrams
Ratio 1 : 3 = 3 decigrams : 9 decigrams
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Find price of the of the 3 decigrams
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y = 50(3)²
y = $450
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Find the price of the 9 decigrams
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y = 50(9)²
y = $4050
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Total price of the 3 decigrams and the 9 decigrams
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$450 + $4050 = $4500
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Lost incurred
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$7200 - $4500 = $2700
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Answer: The lost incurred is $2700
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Answer: a) 59049, b) 15120, c) 126.
Step-by-step explanation:
Since we have given that
5 digit sequences from the integers 1,2,...9.
a) the digits can be the same.
Repetition is allowed.
So, Number of ways to form 5 digit sequences would be
b) the digits cannot be the same and the order in which they appear matters.
Repetition is not allowed and order is maintained, so we will use "Permutation":
c) the digits cannot be the same and the order in which they appear does not matter.
Repetition is not allowed and order is not maintained, so we will use "Combination":
Hence, a) 59049, b) 15120, c) 126.