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vesna_86 [32]
3 years ago
9

A stack of 500 pieces of paper is 1.875 inches tall.

Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0

If there were 1000 sheets of paper, then the thickness of each sheet would be 1.875 in divided by 1000.

1.875/1000 = 0.001875

Since there are 500 sheets of paper, each one is twice as thick as 0.001875, so each sheet is 0.00375 inches thick. 0.015 is much greater than 0.00375, so it must be incorrect.

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True or False: If we have an integer primal solution with cost C and a fractional dual solution with cost at least C/2, the size
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Step-by-step explanation:

The size of the vertex cover is atleast twice the size of the maximum edge. Vertex must contain atleast one vertex from the matched edge. Vertex are never the strong dual solutions of each other.

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Please help me ASAP! Triangle ABC is located at A (2, 3), B (4, 4), and C (6, 3). Zackary says that triangle ABC is an isosceles
son4ous [18]
<h2>Hello!</h2>

The answer is:

The second option,

Zackery, because AB=BC

<h2>Why?</h2>

To identify which type of triangle is the triangle formed by the given points, first, we need to calculate the distance between the points.

So, finding the distances we have:

From A to B: (2,3) and (4,4)

distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(4-2)^{2} +(4-3)^{2}}=\sqrt{2^{2} +1^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units

From B to C: (4,4) and (6,3)

distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(6-4)^{2} +(3-4)^{2}}=\sqrt{2^{2} +(-1)^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units

Hence, since the distances AB and BC are equal, the triangle is an isosceles triangle, so the answer is:

Zackery, because AB=BC

Have a nice day!

7 0
3 years ago
Anja stands by the side of the road counting the wheels on the vehicles that go past her if she counts 250 wheels tie many cars
Juliette [100K]

Answer:

50 cars and 25 bikes

Step-by-step explanation:

Given

Total wheels = 250

Required:

Number of cars and bikes

Let C represent Cars and B represents Bike

A car has 4 wheels and a bike has 2 wheels;

So,

4C + 2B = 250

Divide through by 2

\frac{4C + 2B}{2} = \frac{250}{2}

2C + B = 125 ---- Equation 1

The ratio of wheels of cars to wheels of bike is 1:2

Meaning that

1C = 2B

So, C = 2B

Substitute 2B for C in equation 1

2(2B) + B = 125

4B + B = 125

5B = 125

Divide both sides by 5

\frac{5B}{5} = \frac{125}{5}

B = \frac{125}{5}

B = 25

Recall that C = 2B

So,

C = 2 * 25

C = 50

Hence, Anna has seen 50 cars and 25 bikes

6 0
3 years ago
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