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victus00 [196]
3 years ago
12

Which statement is true

Mathematics
1 answer:
horsena [70]3 years ago
3 0

Answer:

i think it A

Step-by-step explanation:

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Find the value of x and the value of y
Doss [256]

Answer:

C

Step-by-step explanation:

These sides are in a ratio:

1 : 2 : \sqrt{x} 3

Therefore:

6 0
2 years ago
Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.
SashulF [63]

<u>ANSWER</u>

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

<u>EXPLANATION</u>

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
in the six grade 54% of the are boys. there are 189 boys in the sixth grade. what is the total number of the students in sixth g
notka56 [123]

<h2>189 boys is 54%</h2><h2>x is 46%(100-54)</h2><h2>Cross multiply:</h2><h2>189*46%=54%*x</h2><h2>86.94=0.54x</h2><h2>x=161</h2><h2>189 boys 161 girls</h2><h2>350 altogether</h2><h2>Hope this helps plz hit the crown :D</h2>
6 0
3 years ago
Read 2 more answers
The radius of the front wheel of Paul's bike is 63cm. Paul goes for a cycle and travels 69.89km. How many full revolutions did P
Rudiy27

Answer: 17,649

Step-by-step explanation:

Given

The radius of the cycle is r=63\ cm

Distance traveled by Paul is 68.89\ km

Distance traveled by one complete revolution of wheel is equivalent to circumference of wheel i.e.

\Rightarrow 2\pi r\\\\\Rightarrow 2\times \dfrac{22}{7}\times 63\\\\\Rightarrow 396\ cm\ \text{or}\ \text{3.96}\ m

No of revolution made by wheel

\Rightarrow n=\dfrac{69.89\times 1000}{3.96}\\\\\Rightarrow n=17,648.9899\approx 17,649

7 0
3 years ago
An account with $600 earns 4% simple interest per year. The next year all the money is put into a new account that earns 4.5% si
N76 [4]
[First Year]
$600 • 0.04 • 1 year
600 • 0.04 = 24 • 1 = 24

[Second Year]
$600 • 0.045 • 1 year
600 • 0.045 = 27 • 1 = 27

24 + 27 = $51

I believe this is correct and I hope this helps! :)
7 0
3 years ago
Read 2 more answers
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