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3 years ago

HELP DUE TODAY ASAP!!!! Find the area of the triangles.

Mathematics

1 answer:

Serjik [45]3 years ago

3 0

1 is 75 and 2 is 24

Area of triangle = 1/2 base*height

1: a=(1/2)*10*15
A=5*15
A=75

2: a=(1/2)*6*8
A=3*8
A=24

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A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

Pressing one button
Pressing a pair of buttons

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

4 0

3 years ago

What is the domain of the function?

ratelena [41]

Answer:

Domain: B but should be x > 0

Range: A

Step-by-step explanation:

The domain is the set of all x values. This is seen in the graph as all values on the x-axis which have a value for the function. Since this function begins at the y-axis (where x = 0) and continues right then the domain is x > 0.

The range is the set of all y values. This is seen in the graph as all values on the y-axis which have a value for the function. Since the function curves on the coordinate plane all along the y-axis, it has no restrictions. This means it has all y values as a part of the function. The range is all real numbers.

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3 years ago

. A square picture frame occupies an area of 112 ft2 . What is the length of each side of the picture in simplified radical form

saw5 [17]

Recall that a square is just a rectangle with all sides equal.

and the area of a rectangle is just length * width.

$\bf \textit{area of a rectangle}\\\\
A=length\cdot width\quad 
\begin{cases}
length=x\\
width=x\\
A=112
\end{cases}\implies 112=x\cdot x\implies 112=x^2
\\\\\\
\sqrt{112}=x\implies \sqrt{16\cdot 7}=x\implies \sqrt{4^2\cdot 7}=x\implies 4\sqrt{7}=x$

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3 years ago

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Ronch [10]

The line is right in the middle of 100 and 110 degrees so the answer should be 105 degrees. This tool is called a protractor. :)

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3 years ago

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What are the x-intercepts of the graphed function?

DIA [1.3K]

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

The x-intercepts are where the parabola touches the x-axis (aka when y is 0).

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2 years ago