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2 years ago

Plss help me with this:(((

Mathematics

1 answer:

TEA [102]2 years ago

5 0

C
B
C

hope it helps

#carry on learning

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List five numbers that have 3,5 and 7 as prime factors

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Its: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23

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2 years ago

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dolphi86 [110]

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Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

ANSWER

${r}^{2} = 4 \cos2\theta$

EXPLANATION

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

$\cos^{2}\theta -\sin^{2}\theta= \cos(2 \theta)$

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

3 years ago

Plz help me math doesnt like me

marin [14]

Answer:

hello

Step-by-step explanation:

i think diameter is 13 cm

but radius is equal to 13/2=6,5cm

hope it helps

have a nice day

bye

8 0

2 years ago

How do I solve cos x> 1/2 sin x?

Hatshy [7]

Divide both sides by $\dfrac12\cos x$ :

$\dfrac{\cos x}{\frac12\cos x}>\dfrac{\frac12\sin x}{\frac12\cos x}\implies2>\dfrac{\sin x}{\cos x}=\tan x$

If $-\dfrac\pi2$ , then

$\tan x$

and more generally, for any integer $n$ ,

$n\pi-\dfrac\pi2$

4 0

2 years ago

Plss help me with this:(((​

Plss help me with this:(((