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3 years ago

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:

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