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2 years ago

Will give brainliest please help ASAP

Mathematics

1 answer:

marissa [1.9K]2 years ago

7 0

Answer: 1) If we talk about whole numbers then we should choose only square numbers that could be the area of square so that if we want to find its side so we a can find its square root i.e. side.

2) We can find the square root of the area of the given square to find the side length of the square.

3) No , it is not possible to find a side length that would be perfect for a square with an area of 45 square units because if we find its side we need to find its square root i.e.

$side=\sqrt{45}=\sqrt{3\times3\times5}=3 \sqrt{5}$ ................>which is irrational and √5=2.236

∴side=3×2.236=6.708 unit ......> which is not accurate we need to take approx value of it to get the side length of the square.

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3 years ago

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Use simpson's rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. compare y

Lubov Fominskaja [6]

y = ln x , 1 <= x <= 3, about x axis and n = 10, dy/dx = 1/ x

S = (b a) ∫ 2π y √( 1 + (dy/dx) ^2) dx

so our f(x) is 2π y √( 1 + (dy/dx) ^2)

(b - a) / n = / 3 = (3-1) / 30 = 1/15

x0 = 1 , x1 = 1.2, x2 = 1.4, x3 = 1.6 ....... x(10) = 3

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S10 = (1/15) ( f(x0) + 4 f(x1) + 2 f)x2) +.... + f(x10) )

= (1/15) f(1) + f(3) + 4(f(1.2) + f(1.6) + f(2) + f(2.4) + f(2.8)) + 2(f(1.4) + f(1.8) + f(2.2) + f(2.6) )

( Note f(1) = 2 * π * ln 1 * √(1 + (1/1)^2) = 0 and f(3) = 2π ln3√(1+(1/3^2) = 7,276)

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3 years ago

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3 years ago

Kareem purchased several packs of gum to place in gift baskets for $1.26 each. He spent a total of $8.82. How many packs of gum

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