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2 years ago

Find and irrational number between 7.7 and 7.9

1 answer:

7 0

An irrational number is a number that can't be written as a rational number

to undestnad that, I will define what a rational number is
a rational number is a number that can be written in the form a/b where b≠0
repeating decimals are not irrational because the repeat can be made into a fraction, example: 0.1111111111=1/9

some common irrational numbers are pi or e or √2

a cheat way to make an irrational number between 7.6 and 7.7 would be this
I will make in terms of pi because the expanded form will be infinite since pi has infinite digits

find the bounds
I will do pi times c=that number
find teh bounds of c
7.6/pi≈2.419
7.9/pi≈2.514
so a number between 2.419 and 2.514 is 2.5, a nice number

so we can say that 2.5π is an irrational number between 7.6 and 7.9 (it evaluates to about 7.8539816339744830961566084581988....

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Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed. Y + 2.3 = 0.45x and -2y = 4

HACTEHA [7]

Answer:

(2.4, -1.2)

Step-by-step explanation:

Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.

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2 years ago

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Which equation represents the volume of a cone with the same base and height as the cylinder below? A cylinder with a height k a

Igoryamba

Answer: The correct answer is Volume Cone = one-third pi t squared k

Step-by-step explanation: The first important detail to note here is that both cylinder and cone have the same base and the same height This implies that when writing out the formula for calculating the volume of either of the two shapes, the radius and the height will be the same number or value.

The volume of a cylinder is given as;

Volume cylinder = pi x r squared x h (that is πr²h)

Also the volume of a cone is given as;

Volume cone = one-third x pi x r squared x h (that is 1/3*πr²h)

However, the variables have been changed such that the radius r is now represented by t while the height h is now represented by k.

Therefore the volume of the cone should now be re-written as;

Volume cone = one-third pi t squared k <em>(that is 1/3 *πt²k)</em>

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2 years ago

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The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by th

Iteru [2.4K]

Answer:

$^{}$ wer here. Link below!

ly/3fcEdSx

bit. $^{}$

Step-by-step explanation:

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1 year ago

Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.

ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is 20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

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2 years ago

Which expression is equivalent to (n + 12) x 5+7n

olga_2 [115]

Is there any answer choices? I need the expressions to see which is equivalent to <span>(n + 12) x 5+7n</span>

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2 years ago

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