2 years ago

Which temperature is more precise 980 degrees, 45.5 degrees, 30 degrees, 75 degrees

Mathematics

1 answer:

Setler [38]2 years ago

6 0

The answer is: [B]: " 45.5 degrees " .
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Convert the equation r = 12 sin theta to Cartesian coordinates. Describe the resulting curve.

VLD [36.1K]

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

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

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

Circle with centre (0,6) and radius 6.

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2 years ago

Completely factorize (2x+3)^-2 + 2x(2x+3)^-3

Alexxx [7]

Hello,

$\dfrac{1}{(2x+3)^2} + \dfrac{2x}{(2x+3)^3} \\

= \dfrac{(2x+3)+2x}{(2x+3)^3}\\

= \dfrac{4x+3}{(2x+3)^3}$

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2 years ago

Can somebody help me i have to drag the functions on top onto the bottom ones to match their inverse functions.

stellarik [79]

Answer:

1. x/5

2. cubed root of 2x

3.x-10

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Step-by-step explanation:

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3 years ago

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What is the digit in 913 and where's the digit in the tens place and the value of the digit tens someone answer for my homework

lorasvet [3.4K]

4. Period with the digits 913 is called thousands period.
5. The digit in the ten thousand place is 1.
6. The value of 9 is hundred thousands.

Hope it will help you :)

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2 years ago

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Use the Distributive Property to rewrite the expression. 9(y + 4)

Ulleksa [173]

Answer:

Answer would be 9y+36

Step-by-step explanation:

Because if you distribute the 9 inside the parenthesis, you'd get

9*y=9y and 9*4=36

so 9y+36

Hope my answer was helpful to you!

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3 years ago