3 years ago

Solve 3x2 + 4x = 2 in a quadratic formula

Mathematics

1 answer:

egoroff_w [7]3 years ago

6 0

Answer:

−

√

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Given that there is a polar equation as

$r=12 sin \theta$

This has to be converted into cartesian.

We know the conversion is

$r^2 =x^2+y^2 \\tan \theta = \frac{y}{x}$

Using this we can say that

$sin^2 \theta = 1-cos^2 \theta \\= 1-\frac{1}{sec^2 \theta} \\=1-\frac{1}{1+tan^2 \theta} \\=1-\frac{1}{1+\frac{y^2}{x^2} } \\=1-\frac{x^2}{x^2+y^2} \\=\frac{y^2}{y^2+y^2}$

$\sqrt{x^2+y^2} =12(\frac{y}{\sqrt{x^2+y^2} } \\x^2+y^2 =12y\\x^2+y^2-12y+36 = 36\\x^2+(y-6)^2 = 6^2$ }

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3 years ago

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60.......................

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Find the volume of a pyramid with a square base, where the perimeter of the base is

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Answer:

33.4 m^3

Step-by-step explanation:

The edge length of the base is 1/4 of the perimeter, so is ...

(10.3 m)/4 = 2.575 m

Then the area of the base is the square of this, or ...

B = (2.575 m)^2 = 6.630625 m^2

The volume is ...

V = (1/3)Bh = (1/3)(6.630625 m^2)(15.1 m) ≈ 33.4 m^3

The volume of the pyramid is about 33.4 cubic meters.

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