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2 years ago

Triangle abc has vertices located at a( 0, 2), b (2,5), and c (-1,7). find the length of each side of the triangle

1 answer:

5 0

$ab=\sqrt{(0-2)^{2}+(2-5)^{2}}=\boxed{\sqrt{13}}\\\\bc=\sqrt{(2-(-1))^{2}+(5-7)^{2}}=\boxed{\sqrt{13}}\\\\ac=\sqrt{(0-(-1))^{2}+(2-7)^{2}}=\boxed{\sqrt{26}}$

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3 years ago

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(08.05 MC)

MissTica

Answer:

The rotation of the rectangle, of area 12 squared units, about y-axis produces a cylinder, with a volume of 48 $\pi$ cubic units.

Step-by-step explanation:

Rotation about x-axis or y-axis at an angle requires some general rules. When a 2D figure is rotated about a line a 3d figure would be produced. This can be done through a process called solid of revolution.

From the question, connecting the given coordinates produces a rectangle with a length of 4 units and width 3units.

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If the given rectangle is rotated about y-axis, a cylinder would be formed.

The volume of the cylinder = V = $\pi$ $r^{2}$ h

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V = $\pi$ × $(4)^{2}$ × 3

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3 years ago

When dividing each of the numbers $$3759$$ and $$4139$$ by some positive integer number, the remainder happened to be equal to $

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Answer:

The smallest possible value of the divisor is 19

Step-by-step explanation:

The given numbers for division are;

3759 and 4139, the remainder = 16

Let x represent the number

Therefore, we have;

x > 16

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The factors of 3743 obtained from an online resource are 1, 19, 197, 3759

The factors of 4123 obtained from an online resource are 1, 7, 19, 31, 133, 217, 589, 4123

The common factors of 3743 and 4123 are 1, 19

Given that x > 16, we have, x = 19

Therefore, the smallest possible value that will divide both 3759 and 4139 whereby the remainder is 16 = 19

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