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Dmitriy789 [7]
3 years ago
9

A pile of sand has a weight of 90kg.

Mathematics
1 answer:
Elodia [21]3 years ago
4 0

Answer:

52.5 kg ANS

Step-by-step explanation:

Weight of a pile of sand = 90kg

Ratio of weight of sand in three bags = 2:3:7

Let the weight be 2x kg, 3x kg, 7x kg respectively A.T.Q.

= 2x + 3x +7x = 90

= 12x = 90

= X= 90/12

= X = 7.5 kg

Weight of sand in medium bag =

= 3 × 7.5

= 52.5 kg ANS

I hope this answer is correct

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x=46

Step-by-step explanation:

the numbers are 46&47&48&48

so your answer is 48

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Let point P be with coordinates (x_0,y_0). Find the equation of the  tangent line.

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Find x-intercept and y-intercept of this line:

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The area of the triangle enclosed by the tangent line at P, the x-axis, and y-axis is

A=\dfrac{1}{2}\cdot (2x_0^2+y_0)\cdot \left(\dfrac{y_0+2x_0^2}{2x_0}\right)=\dfrac{(y_0+2x_0^2)^2}{4x_0}.

Since point P is on the parabola, then y_0=1-x_0^2 and

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Find the derivative A':

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Equate this derivative to 0, then

12x_0^4+8x_0^2-4=0,\\ \\3x_0^4+2x_0^2-1=0,\\ \\D=2^2-4\cdot 3\cdot (-1)=16,\ \sqrt{D}=4,\\ \\x_0^2_{1,2}=\dfrac{-2\pm4}{6}=-1,\dfrac{1}{3},\\ \\x_0^2=\dfrac{1}{3}\Rightarrow x_0_{1,2}=\pm\dfrac{1}{\sqrt{3}}.

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