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mylen [45]
3 years ago
6

There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.

Mathematics
2 answers:
DochEvi [55]3 years ago
3 0

Answer:

About 4.06, so your answer is 4 meters.

soldi70 [24.7K]3 years ago
3 0

Answer:

406.4

Step-by-step explanation:

.  160 x 2.54 = 406.4 meters in 160 inches.

.  To check you can do division.

.  406.4 divided by 2.54 = 160 inches.

Hope this help!

Have a great day!

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\huge\boxed{18\ \text{points}}

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with x, x+1, x+2, and x+3 respectively since each one is 1 point more than the last.

Add all of these values up and set it all equal to 78.

x+x+1+x+2+x+3=78

Now, simplify.

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Subtract 6 on both sides.

\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}

Divide both sides by 4.

\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}

Since Louise's score is x, the answer is 18.

<h3>Double-checking</h3>

To verify our answer, add the point totals 18, 19, 20, and 21.

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Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.
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<u>ANSWER</u>

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

<u>EXPLANATION</u>

The Cartesian equation is

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We substitute

x = r \cos( \theta)

y = r \sin( \theta)

and

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This implies that

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

Let us evaluate the exponents to get:

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Factor the RHS to get:

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Divide through by r²

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

Apply the double angle identity

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The polar equation then becomes:

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