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3 years ago

What power of 100 is divisible by 11?

1 answer:

3 0

<span>Ok so consider 100 divided by 11. remainder here is 1. Now consider the remainder when 100×100 is divided by 11. consider that you have one hundred hundreds, and each of them have a remainder of 1 when divided by 11. So, go through each of your hundred hundreds and divide it by 11, leaving remainder 1. Then collect up your remainders into a single hundred, and divide it by 11, leaving a remainder of 1. This process can be extended to dividing 100x100x100 by 11, and indeed, to dividing any power of 100 by 11.</span>

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Wendy had 35 tickets for games at carnival. She used 1 5of the tickets to play the ball toss game. Then she used 1 2of the remai

GenaCL600 [577]

Answer:

Step-by-step explanation:

15+12+5=32

35-32=3

4 0

3 years ago

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Factor the polynomial x2 + 2x – 3x – 6 by double grouping. Group terms with common factors: (x2 + 2x) + (– 3x – 6) Factor the GC

garik1379 [7]

We have been given a polynomial and we are asked to factor our polynomial by double grouping.

$x^{2} +2x-3x-6$

First of all we will group terms with common factors. We can see that $x^{2}$ and 2x have a common factor x. Common factor of -3x and -6 is -3.

$x^{2} +2x-3x-6$

$(x^{2} +2x)+(-3x-6)$

Now we will factor out Greatest Common Factor from each group.

$x(x+2)-3(x+2)$

After factoring out GCF from each group we got (x+2) as our common binomial. Now we will write our polynomial as a product of two binomials as:

$(x+2)(x-3)$

Therefore, our polynomial as a product of two binomials will be $(x+2)(x-3)$ .

8 0

3 years ago

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Find the altitude and area of an equilateral triangle

Nataliya [291]

If you look at the attached graphic, you will see that the altitude (or height) of an equilateral triangle is:
Height = side length * sq root (3) / 2
Area = side^2 * sq root (3) / 4

4 0

3 years ago

Graph the system of equations.

Marat540 [252]

You can soustracte the first or the second one

and y cancel

x = 6

now you put 6 in x
you can take the first or the second one

6 - y = -2
6 - y = -2
y = -8

8 0

3 years ago

PLEASE HELP ASAP!!!<br><br> Find the length of AC.<br><br> Express your answr in terms of pi.

Rainbow [258]

<h3>Answer: 8pi</h3>

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Explanation:

circumference = distance around the circle

In other words, if you had a curved fence around the circle, then the circumference is the perimeter of that circle (telling you how much fencing you need, assuming there's no waste)

The formula for the circumference is C = pi*d where d is the diameter. In this case, 24 ft is the diameter because this segment goes from one point on the circle to another, and this line goes through the center.

The circumference of this full circle is...

C = pi*d

C = pi*24 ... replace d with 24

C = 24pi

----------------------------------

Now we don't want the whole distance around the circle. We only want a small fraction of it. Specifically from A to C along the shortest route (this is called minor arc AC). The angle measure of arc AC is 120 degrees. Why? This is because 180 - x = 180 - 60 = 120, the x = 60 refers to the measure of minor arc BC. The two arc measures combine to get 180 degrees.

Using the fact that minor arc AC is 120 degrees, this means the distance along the arc AC is 120/360 = 1/3 of the entire circumference. Note how I divided 120 over 360 because there are 360 degrees in a full circle

So...

distance along minor arc AC = (1/3)*(circumference)

distance along minor arc AC = (1/3)*(24pi)

distance along minor arc AC = 8pi

8 0

3 years ago