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vampirchik [111]
1 year ago
5

A rhombus has perimeter 120 M and one of its diagonal is 50 M find the area of the Rhombus

Mathematics
1 answer:
Mademuasel [1]1 year ago
6 0

The area of the rhombus is 829.1562m².

<h3>What is the area of the rhombus?</h3>

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  \frac{1}{4}d ×√(p² - 4d²)

where p is the perimeter and d is the diagonal

1/4(50) x √(120² - 4 x 50²) =829.1562m²

To learn more about a rhombus, please check: brainly.com/question/22825947

#SPJ1

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Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
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:

brainly.com/question/16978014

#SPJ1

5 0
2 years ago
X varies inversely as y^2, and x = 4 when y = 10. Find x when y = 2.
Ierofanga [76]
I believe it is A. x=16
6 0
3 years ago
What's the area if an equilateral triangle with sides of 10 inches and height of 7 inches
Hitman42 [59]
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Hope I helped

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7 0
3 years ago
8 The sum of four consecutive odd integers is 96. What are the numbers?
grigory [225]

Answer:The sum of all is 21+23+25+27 = 96.

Step-by-step explanation:

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2 years ago
You make an initial investment of $500. Fill in the table below to show how much money you would have after 3 years if your acco
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n= 1 since it is compounded annually
t= 3
Hope this helped.
3 0
3 years ago
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