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BlackZzzverrR [31]
3 years ago
14

A money bank has twice as many nickels as dimes. There is exactly $2.00 in the bank. How many nickels are there?

Mathematics
1 answer:
Makovka662 [10]3 years ago
7 0
There is 16 nickels in 2 dollars
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SSS Congruence Theorem

Step-by-step explanation:

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ABCDEFGHIJ is a regular decagon with a radius of 25.89 units. Find the area of ABCDEFGHIJ. Round the answer to the nearest tenth
Verdich [7]
Let's call the midpoint of GF M.
MF = 16/2 = 8
KF = 25.89
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Convert the polar equation r = 2 secØ to a Cartesian equation.y = 2x = 2x^2 = 2
ss7ja [257]
Polar and cartesian equation<h2>Initial explanation</h2>

Let's analyze the relation between r and x and y:

We have that between the indicated value of r (of the polar coordinates) and x and y (of the cartesian coordinates) there is a relation because they form a triangle. If r changes, then the value of x and y will change.

<h2>STEP 1: given equation</h2>

Using the given equation

r = 2 secØ

we have that

\begin{gathered} r=2secØ \\ \downarrow \\ \frac{r}{2}=secØ \end{gathered}<h2>STEP 2: secØ equation</h2>

Observing the image of the initial explanation we have a right triangle, we know that the equation of

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\sec Ø=\frac{\text{hypotenuse}}{\text{adjacent side}}

In this case,

hypotenuse = r

adjacent side = x

then,

\begin{gathered} \sec Ø=\frac{\text{hypotenuse}}{\text{adjacent side}}=\frac{r}{x} \\ \sec Ø=\frac{r}{x} \end{gathered}<h2>STEP 3: comparison between given equation and secØ equation</h2>

Then, we have that:

\begin{gathered} \sec Ø=\frac{r}{x} \\ \sec Ø=\frac{r}{2} \end{gathered}

This means that:

\begin{gathered} \frac{r}{x}=\sec Ø=\frac{r}{2} \\ \downarrow \\ \frac{r}{x}=\frac{r}{2} \end{gathered}

Then,

x = 2

The equation in cartesian coordinates is x=2.

Answer: x=2

6 0
1 year ago
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