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3 years ago

Please help!!!!!!!!!

Mathematics

1 answer:

Luba_88 [7]3 years ago

8 0

Answer:

2000 ft²

Step-by-step explanation:

g(n) = 5n²

maximum area of space: 100²

5n² = 100² = 10000

n² = 2000 ... garden area

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Which of the following Platonic solids is also a pyramid? A. tetrahedron B. Hexahedron C. octahedron D. Icosahedron E. dodecahed

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Tetrahedron - its the only one that has a base from which all edges meet at a single point.

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Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 cannot be used as a building frame support on the house

tankabanditka [31]

Right triangle ... use Pythagorean theorem.
Hypotenuse is longest side.
8^2 = 64 so it is the shortest side, then sqrt(95) then sqrt(150).
So Pythagorean theorem is 8^2 + [sqrt(95)]^2 = [sqrt(150)]^2 if the triangle is right.
64 + 95 = 159 which doesn’t equal 150 so he’s right. It’s not a right triangle

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What is the binomial expansion of (x 2y)7? 2x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5 14xy6 2y7 x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5

AysviL [449]

You can take x = a, 2y = b and then can apply the binomial theorem.

The expansion of given expression is given by:

Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is

<h3>What is binomial theorem?</h3>

It provides algebraic expansion of exponentiated(integer) binomial.

According to binomial theorem,

$(a+b)^n = \sum_{i=0}^n ^nC_i a^ib^{n-i}$

<h3>How to use binomial theorem for given expression?</h3>

Taking a = x, and b =2y, we have n = 7, thus:

$(x+2y)^7 = \: ^7C_0x^0(2y)^7 + \: ^7C_1x^1(2y)^6 + \: ^7C_2x^2(2y)^5 + \: ^7C_3x^3(2y)^4 + \:^7C_4x^4(2y)^3 + \:^7C_5x^5(2y)^2 + \:^7C_6x^6y^1 + \: ^7C_0x^7y^0\\\\
(x+2y)^7 = 128y^7 + 448xy^6 + 672x^2y^5 + 560x^3y^4 + 280x^4y^3 + 84x^5y^2 + 14x^6y + x^7\\\\
(x+2y)^7 = x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$

Thus, Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is correct.

Learn more about binomial theorem here:

brainly.com/question/86555

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3 years ago

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geometric mean:
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harmonic mean:
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photoshop1234 [79]

Answer:

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Step-by-step explanation:

you should reread the question and ask for help.

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