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liraira [26]
3 years ago
7

What is the area of the shaded rectangle

Mathematics
1 answer:
Contact [7]3 years ago
4 0

Answer:

27/70

Step-by-step explanation:

9/10 of the rectangle is shaded on the top and 3/7 of the rectangle is shaded on the side. Multiply those values together to find the area of the shaded rectangle.

9/10 · 3/7 = 27/70

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A cylindrical metal pipe has a diameter of 20 millimeters and a height of 21 millimeters. A cylindrical hole cut out of the cent
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<h3>Answer:</h3>
  • 21π(10)^2 – 21π(6)^2
  • 2,100π – 756π
<h3>Step-by-step explanation:</h3>

The volume of metal is the difference of the overall volume of the cylinder and the volume of the hole in it. The formula for the volume of a cylinder is ...

... V = π·r^2·h . . . . . radius r and height h

For the overall dimensions, the radius is half the diameter, so is 10 mm. The hole is said to have a radius of 6 mm. The overall "height" is 21 mm, so the volume in mm³ will be ...

... V_overall -V_hole = π(10)^2(21) -π(6)^2(21)

... = 21π·10^2 -21π·6^2 . . . . . . . matches the first selection

... = 2100π -756π . . . . . . . . . . . matches the third selection

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6 0
4 years ago
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masya89 [10]
<span>Our primary counting system is based on binary digits to represent numbers</span>
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3 years ago
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MakcuM [25]
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Find the solution of the given initial value problem in explicit form. y' = (1 – 11x)y?, y(0) = -1 Enclose numerators and denomi
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Answer:

y(x)=-e^{x-(\frac{11*x^{2} }{2}) }

Step-by-step explanation:

This is a separable equation. First divide both sides by y:

\frac{dy(x)}{\frac{dx}{y(x)} } =-11x+1\\\frac{dy}{y}=(-11x+1)dx

Integrate both sides:

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Solve for y taking exp to both sides:

y(x)=c_1*e^{x-(\frac{11*x^{2} }{2}) }

Where c_1 is an arbitrary constant

Evaluating the initial condition:

y(0)=c_1*e^{0-(\frac{11*0^{2} }{2}) } =-1

c_1*e^{0} =-1\\c_1*1=-1\\c_1=-1

Finally, replacing c_1 in the differential equation solution:

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Answer:

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