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solniwko [45]
2 years ago
15

Show how to add 2 1/2+ 4/5 using the number line below

Mathematics
1 answer:
denis-greek [22]2 years ago
3 0

Answer:

Start at 2 1/2 plot that. Then go to 3 3/10 which is 3 right of the whole number 3 and plot it. Lastly, draw lines or bumps to represent going from 2 1/2 to 3 3/10.

Step-by-step explanation:

The Simplest way (This includes the graphing part but I advise you to use the addition steps first)

I always like to convert mixed numbers into decimals.

2 1/2 is 2.5 and 4/5 is 0.8.

2.5 + 0.8 = 3.3 which is 3 3/10

Graph:

2 1/2 should be in the middle of the whole numbers 2 and 3.

That is your starting point.

Now to add 4/5 which is 0.8 you could do 2.5 + 0.8 = 3.3

You need to find your ending point.

Your ending point should be 3 tickmarks to the right of 3.

Now, you could draw hop marks or arrows starting from 2 1/2 to 4/5

Addition Steps:

First, convert 2 1/2 to an improper fraction.

2x2 + 1 = numerator.

4+1 = 5

5/2 is 2 1/2.

Now you need to find a common denominator for 2 and 5.

This should be 10.

Multiply 5/2 by 5/5

Multiply 4/5 by 2/2

25/10 and 8/10 should be the answers

Now do 25+8 but keep the denominator 10.

25+8 is 33/10.

You could convert it to 3.3 which is 3 3/10  

3 3/10 is on your number line.

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Quadrilateral ABCD is inscribed in a circle with angle measures m∠A = (11x − 8)°, m∠B = (3x2 + 1)°, m∠C = (15x + 32)°, and m∠D =
dimulka [17.4K]

Answer:

No for all of the 4 values

Step-by-step explanation:

The sum of the internal angles of a quadrilateral is always 360°, so we have that:

m∠A + m∠B + m∠C + m∠D = 360

11x - 8 + 3x2 + 1 + 15x + 32 + 2x2 - 1 = 360

5x2 + 26x - 320 = 0

Solving the quadratic function using Bhaskara's formula, we have:

Delta = 26^2 + 4*5*320 = 7076

sqrt(Delta) = 84.12

x1 = (-26 + 84.12)/10 = 5.81

x2 = (-26 - 84.12)/10 = -11.01 (this value will generate negative angles, so it is not valid).

Now, finding the angles, we have:

m∠A = 11*5.81 - 8 = 55.91°

m∠B = 3*(5.81)^2 + 1 = 102.27­°

m∠C = 15*5.81 + 32 = 119.15°

m∠D = 2*(5.81)^2 - 1 = 66.51°

As all these values are different from the values shown, the answer is No for all of them.

8 0
3 years ago
The ancient Greeks were ultimately able to prove that the constructions they thought impossible were, in fact, impossible. A. Tr
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3 years ago
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Tan(x+pi/2)= negative cot x
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I'm only going to alter the left hand side. The right side will stay the same the entire time

I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)

So with that in mind, this is how the steps would look:

tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
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6 0
3 years ago
Can 0.1/100 be simplified?
FrozenT [24]
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5 0
3 years ago
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Someone please help me
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Answer:

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we know that

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5 0
3 years ago
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