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2 years ago

15

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t

he preimage?

2 answers:

svp [43]2 years ago

3 0

A full rotation is 360 degrees so the required angle is 360/12 = 30 degrees.

bagirrra123 [75]2 years ago

3 0

The answer is 36% ................

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Isabella saved 2 nickels today. If she doubles the number of nickels she saves each day, how many days, including today, will it

luda_lava [24]

Answer:

Step-by-step explanation:

Alright, lets gets started.

First day, she saves nickels = 2

As we know, she doubles the number of nickels she saves each day.

Means second day she saves nickels = $2*2 = 4$

Third day she saves nickels = $2*4 = 8$

Fourth day she saves nickels = $2*8=16$

Hence we have $2 + 4 + 8 + 16...$

It is like a geometric series, the sum of nickels she needs more than 500.

So, lets see how many days she will take to save 500 nickels first

Using the sum formula for geometric series

$s=\frac{a(1-r^n)}{(1-r)}$

where s is sum, r is multiplication factor, that is 2 in this case and a is first term of series that is 2 also

$500=\frac{2(1-2^n)}{(1-2)}$

Simplifying, dividing 2 in both sides

$250=\frac{(1-2^n)}{(1-2)}$

$250=\frac{(1-2^n)}{-1}$

Cross multiplying

$-250=1-2^n$

$2^n-1=250$

$2^n=251$

Taking log on both sides

$nlog2=log251$

$n=\frac{log251}{log2}=7.971$

It means it will take 8 days to save mmore than 500 nickels. : Answer

Hope it will help :)

8 0

2 years ago

Describe the graph represented by the equation r=5/(3+2 sin theta).

Yuki888 [10]

We have the following equation:

$r= \frac{5}{3+2sin(\theta)}$

If we graph this equation we realize that in fact this is an ellipse with major axis matching the y-axis. So we can recognize these characteristics:

1. Center of the ellipse:

The midpoint C<span> of the line segment joining the foci is called the </span>center<span> of the ellipse. So in this exercise this point is as follows:
</span>
$C(0, -2)$

2. Length of major axis:

The line through the foci is called the major axis<span>, so in the figure if you go from -5, at the y-coordinate, and walk through this major axis to the coordinate 1, the distance you run is the length of the major axis, that is:</span>

$6 \ units$

3. Length of minor axis:

The line perpendicular to the foci through the center is called the minor axis. So in the figure if you go from -2, at the x-coordinate, and walk through this minor axis to the coordinate 2, the distance you run is the length of the minor axis, that is:

$4 \ units$

4. Foci:

Let's find c as follows:

$c=\sqrt{a^{2}-b^{2}}=\sqrt{3^{2}-2^{2}}=\sqrt{5}$

Then the foci are:

$f_{1}=(0, \sqrt{5}-2)$

$f_{2}=(0, -\sqrt{5}-2)$

8 0

2 years ago

Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 40 mph. The distance from Raj's house to t

Stells [14]

Answer:

15 minutes more, as 60-45mins = 15 minutes.

Step-by-step explanation:

Distance = 30 miles

Speed = 30mph = 1 hr

Compared to Distance 30 miles

Speed = 40mph = 3/4 of 60mins = 45 mins.

1hr = 60mins = 60-45 = 15 minutes.

5 0

2 years ago

Read 2 more answers

If john can drink one barrel of water in 6 days, and mary can drink one barrel of water in 12 days, how long would it take them

krek1111 [17]

Hello,

A good first step to take would be to calculate how much of a barrel John and Mary can drink together in 1 day.

If John can drink 1 barrel in 6 days, then every day he can drink 1/6 of a barrel.
If Mary can drink 1 barrel in 12 days, then every day she can drink 1/12 of a barrel.

Every day, the total that John and Mary can drink will be (1/6) + (1/12) = (1/4) of a barrel.

If we want to know how many days it will take for them to drink 1 barrel of water together, and they drink 1/4 of a gallon every day, we do

(1) / (1/4) = 1 * (4/1) = 4 days

It will take 4 days for John and Mary to drink 1 barrel together.

Hope this helps!

6 0

2 years ago

A number,n,is added to 15 less than 3 times itself.result is 101. Wich equation can be used to find the value of x

noname [10]

Let the number be 'x'

According to the question,

A number is added to 15 less than 3 times itself.

So, x + (15 less than 3 times itself)

15 less than 3 times itself = $3x - 15$

Now, x + (15 less than 3 times itself) = $x + (3x-15)$

We get the result as 101.

So, $x+ 3x-15 = 101$

$4x - 15 = 101$

Therefore, it is the required equation used to evaluate the number 'x'.

3 0

2 years ago