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3 years ago

When two rays are combined at a common endpoint it makes a different construction called a(n)?

1 answer:

6 0

The unknown term that is being asked for this item is an ANGLE. This defined geometric term is formed when two rays combined at a common point usually called the vertex. The combining rays are called sides. The types of angles are acute, right, obtuse, straight, reflex, etc depending on its measure.

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Turma:

Roman55 [17]

E porque ya lo use y es facil

3 0

3 years ago

PLEASE HELP MEEEE HURRRY!!! :)

sammy [17]

Answer:

Option D

Step-by-step explanation:

We are given the following equations -

$\begin{bmatrix}-5x-12y-43z=-136\\ -4x-14y-52z=-146\\ 21x+72y+267z=756\end{bmatrix}$

It would be best to solve this equation in matrix form. Write down the coefficients of each terms, and reduce to " row echelon form " -

$\begin{bmatrix}-5&-12&-43&-136\\ -4&-14&-52&-146\\ 21&72&267&756\end{bmatrix}$ First, I swapped the first and third rows.

$\begin{bmatrix}21&72&267&756\\ -4&-14&-52&-146\\ -5&-12&-43&-136\end{bmatrix}$ Leading coefficient of row 2 canceled.

$\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ -5&-12&-43&-136\end{bmatrix}$ The start value of row 3 was canceled.

$\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ 0&\frac{36}{7}&\frac{144}{7}&44\end{bmatrix}$ Matrix rows 2 and 3 were swapped.

$\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\end{bmatrix}$ Leading coefficient in row 3 was canceled.

$\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&0&0&\frac{4}{9}\end{bmatrix}$

And at this point, I came to the conclusion that this system of equations had no solutions, considering it reduced to this -

$\begin{bmatrix}1&0&-1&0\\ 0&1&4&0\\ 0&0&0&1\end{bmatrix}$

The positioning of the zeros indicated that there was no solution!

<u><em>Hope that helps!</em></u>

6 0

3 years ago

It takes three identical water pumps 8 hours to fill a pool, What is the constant of variation?

BaLLatris [955]

Answer:

Constant of variation is 24.

Step-by-step explanation:

Inverse variation states that a relationship between two variables in which the product is remain constant.

If one variable increases then, the other one decreases in proportion so that the product is unchanged,

if y is inversely proportional to x i.e $y \propto\frac{1}{x}$ or

$y =\frac{k}{x}$ ;where k is the constant of variation.

It is given that 3 identical water pumps takes 8 hours to fill a pool,

since, it will take less time with more pumps, so it is an inverse variation.

By definition of inverse variation;

$time = \frac{k}{pump}$

Substitute the values to solve for k;

$8 = \frac{k}{3}$

Multiply by 3 to both sides we get;

$8 \times 3 = \frac{k}{3} \times 3$

Simplify:

k = 24

Therefore, the constant of variation is, 24

3 0

3 years ago

Find the area of the shape shown below.

Tamiku [17]

Answer:

28 square units.

Step-by-step explanation:

Let us divide the shape into two rectangles and a right triangle. The resulting composite figure is attached.

As we see in the figure the area $A_T$ of the triangle is

$A_T= \frac{1}{2} (2)(4)=4\: units^2$ .

The area $A_{r1}$ of the bigger rectangle is (it's actually a square )

$A_{r1}=4*4=16\:units^2$ ,

and the area of the smaller rectangle is

$4*2 =8\:units^2$ .

Therefore, the total area $A_{tot}$ of the shape is

$A_{tot}= A_T+A_{r1}+A_{r2}$

$A_{tot}= 4\:units^2+16\:units^2+8\:units^2$

$\boxed{A_{tot}=28 \:units^2}$

5 0

3 years ago

Read 2 more answers

What is the length of the base of a right triangle with an area of 24m and a height of 4m

insens350 [35]

To find the length of the base, we have to understand that area of triangle:

Base x height/2

Therefore we would multiply the area by 2 and divide by 4 to find the answer:

24x2/4

=48/4

=12

Therefore the answer is 12m.

Hope it helps!

4 0

3 years ago

Read 2 more answers