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3 years ago

How many positive integers less than 25 can be formed by using the digits 1,2 and 3

2 answers:

8 0

There are 9 numbers that are positive integers that can be formed by the #s 1,2,&3 THAT R LESS THAN 25 1 2 3 11 12 13 21 22 23

hodyreva [135]3 years ago

3 0

I tried to think of a fancy formula for it, then decided it's just easier to list them:

1
2
3
11
12
13
21
22
23

That's<em><u> 9</u></em> of them.

You might be interested in

How do you Order the numbers from least to greatest. -7 , -7.75, 1/2, 75%

Serggg [28]

Answer:

-7.75, -7, 1/2, 75%

Hope this helps ☝️☝☝

6 0

3 years ago

-x=-y+2 and 3y+4=2x solve using matrices

MissTica

$\begin{cases}-x=-y+2\\3y+4=2x\end{cases}\implies\begin{cases}x-y=-2\\2x-3y=4\end{cases}$

In matrix form, this is

$\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-2\\4\end{bmatrix}$

The coefficient matrix has determinant

$\begin{vmatrix}1&-1\\2&-3\end{vmatrix}=-3+2=-1\neq0$

so it has an inverse, which is

$\begin{bmatrix}1&-1\\2&-3\end{bmatrix}^{-1}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}$

Multiply both sides by the inverse matrix:

$\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}-2\\4\end{bmatrix}$

$\implies\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-10\\-8\end{bmatrix}$

so that $x=-10$ and $y=-8$ .

8 0

3 years ago

tyler has a rectangular garden measuring 12m by 20 m that he wants to split diagonally from corner to corner using a fence. how

adelina 88 [10]

Answer:

23.3

(or $4\sqrt{34}$ (let me know if you wanted this one and is you want it explained) lol)

Step-by-step explanation:

To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:

$a^{2} +b^{2} =c^{2}$

Insert values:

$12^{2} +20^{2} =c^{2}$

Solve for c:

Evaluate exponents

$144+400=c^2$

Simplify addition

$544=c^2$

Find the square root of both

$\sqrt{544} =\sqrt{c^2}\\\\\sqrt{544} =c\\\\23.324=c\\\\c=23.3$

The fence needs to be approximately 23.3 m.

5 0

3 years ago

Read 2 more answers

For a project in her Geometry class, Chee uses a mirror on the ground to measure the

maria [59]

The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.

Correct response:

The eight of the goalpost is approximately <u>16.91 meters</u>.

<h3>Methods used to calculate the height</h3>

The length Chee is using the mirror to measure = The height of her school's football goalpost

The distance of the mirror from the goalpost = 14.35 meters

The distance on the other side of the mirror Chee steps to = 1.4 meters

The distance from her eyes to the ground = 1.65 meters

Required:

How tall is the goalpost.

Solution:

By using similar triangles relationships, we have;

$\dfrac{1.65}{1.4} = \mathbf{\dfrac{Height \ of \ the \ goalpost, h}{14.35} }$

Which gives;

$h = \dfrac{1.65}{1.4} \times 14.35 = 16.9125 \approx \mathbf{ 16.91}$

The height of the goalpost, h ≈ <u>16.91 meters</u>

Learn more about similar triangles here:

brainly.com/question/10676220

7 0

2 years ago

Whst is 15 divided by 6 2/3 equals

PolarNik [594]

First you make 15 a fraction by putting it over 1.
Then you make 6 2/3 a mixed fraction.
To do this, you multiply 6 with 3 and add 2 to it. Then you put the number over 3.
We get
6 X 3 = 18
18 +2 = 20
20/3

Now, we divide 15/1 with 20/3.
When we divide it, we actually cross multiply it. Basically, we flip the fraction and multiply it.

So we get 15/1 X 3/20 = $\frac{15 X 3}{1 X 20}$ .

We get 45/20 which can be simplified to 9/5 which can be simplified to 2 1/4.

So the answer is 9/4 or 2 1/4.

5 0

3 years ago

Read 2 more answers