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Paladinen [302]
2 years ago
13

Work out the size angles x,y and z​

Mathematics
1 answer:
Andreas93 [3]2 years ago
3 0

Answer:

x = y = 14

z = 70

Step-by-step explanation:

As we can see from the markings, x = y

So we have an isosceles triangle in ABD

the sum of angles in a triangle is 180

52 + x + y = 180

x + y = 180-52

x + y = 28

so since x = y

x = y = 14

To get z, we have that;

52 + z + 14 + 44 = 180

z + 110 = 180

z = 180-110

z = 70

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Mars2501 [29]

The solution to the binomial expression by using Pascal's triangle is:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>

Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.

We can have the Pascal tree triangle expressed as follows:

                          1

               1                   1

        1                2                 1

    1          3              3               1

1      4            6                4            1

--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---

From the given information:

The expansion of (3x-4y)^11 will correspond to line 11.

Using the general formula for the Pascal triangle:

\mathbf{(a+b)^n = c_oa^nb^0 + c_1 a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_na^0b^n}

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

Learn more about Pascal's triangle here:

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2 years ago
What is 1/8 divided by 2
erma4kov [3.2K]

Answer:

Divide: 2 : 1

8

= 2

1

· 8

1

= 2 · 8

1 · 1

= 16

1

= 16

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1

8

is 8

1

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In words - two divided by one eighth = sixteen.

SO FINAL ANSWER IS 16!!! HOPE THIS HELPS YOU mark me the brainliest if im correct

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3 years ago
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The order of six and three tenths repeating, negative six and four ninths, 630%, and −6.1 from least to greatest is negative six and four ninths, −6.1, 630%, six and three tenths repeating. option D

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Therefore, the order six and three tenths repeating, negative six and four ninths, 630%, and −6.1 from least to greatest is negative six and four ninths, −6.1, 630%, six and three tenths repeating. option D

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