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3 years ago

15

Rich as 3 pieces of pizza each pizza end forms a 20 degree angle. if all the pieces were placed together what would the size of

the angle be?

2 answers:

Dima020 [189]3 years ago

8 0

3 pieces times 20 degrees equals 60 degrees <span />

Salsk061 [2.6K]3 years ago

6 0

20 times 3 equals 60

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11) At a certain company, an HR benefits meeting and shareholders meeting happen at the same time, so it is impossible for an em

Airida [17]

Answer:

0.99

Step-by-step explanation:

The computation of the probability for employee goes for shareholder meeting or HR benefits meeting is

= Probability of HR benefits meeting + Probability of shareholder meeting

= 0.33 + 0.66

= 0.99

We simply added the both meeting probability i.e HR benefits and shareholder meeting so that the given probability could come

4 0

3 years ago

Express the system as AX = B; then solve using matrix inverses

Wittaler [7]

Answer with explanation:

1. The given equations are

3x -5 y=2

-x+2 y= 0

⇒The matrix in the form of , AX=B, is

$A=\left[\begin{array}{cc}3&-5\\-1&2\end{array}\right] ,\\\\ X=\left[\begin{array}{c}x&y\end{array}\right],\\\\B=\left[\begin{array}{c}2&0\end{array}\right]$

$\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B$

Adj.A=Transpose of cofactor of Matrix A

$Adj.A=\left[\begin{array}{cc}2&1\\5&3\end{array}\right] ,\\\\ |A|=6-5\\\\|A|=1\\\\\left[\begin{array}{c}x&y\end{array}\right]=\left[\begin{array}{cc}2&5\\1&3\end{array}\right] \times \left[\begin{array}{c}2&0\end{array}\right]\\\\x=4, y=2$

2.

The given equations are

x+y-z=2

x+z=7

2 x +y+z=13

⇒The matrix in the form of , AX=B, is

$A=\left[\begin{array}{ccc}1&1&-1\\1&0&1\\2&1&1\end{array}\right]\\\\ X=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\\\\B= \left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B\\\\a_{11}=-1,a_{12}=1,a_{13}=1,a_{21}=-2,a_{22}=3,a_{23}=1,a_{31}=1,a_{32}=-2,a_{33}=-1\\\\|A|=1\times(0-1)-1\times(1-2)-1\times(1-0)\\\\=-1+1-1\\\\|A|=-1\\\\Adj.A=\left[\begin{array}{ccc}-1&-2&1\\1&3&-2\\1&1&-1\end{array}\right]$

$\frac{Adj.A}{|A|}=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\\\\X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\times\left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\x=3,y=3,z=4$

7 0

3 years ago

Explain The probability of tossing a prime number when you toss the cube with numbers one through six

asambeis [7]

Probability is (desired outcomes)/(total possible outcomes)

ok, you must make a choice
1. if you believe that 1 is prime (which I don't) go to AAAAAAAAAAA
2. if you believe that 1 is NOT prime, go to BBBBBBBBBBB

AAAAAAAAAAAA
prime numbers from 1 to 6 are
1,2,3,5
desired outcomes=4
total possible =6
4/6=2/3

BBBBBBBBB
prime numbers from 1 to 6 are
2,3,5
3 desired outcomes
6 total possible

3/6=1/2

if you belive that 1 is prime, then 2/3 is probability
if you believe that 1 is NOT prime then 1/2 is probability

5 0

3 years ago

Read 2 more answers

Write the equivalent division statement to 32 × 1 4

sleet_krkn [62]

Answer:

448/32=14

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Need help using synthetic division!

viktelen [127]

Answer:

$3x^{2} -3x+8-\frac{9}{x+1}$

Step-by-step explanation:

Since we're dividing the polynomial by $(x+1)$ , we'll be using -1 to start the division.

Before setting the division up, let's list the coefficients of $x$ from descending powers and the constant.

The coefficient of $x^{3}$ is 3

Since we don't see an $x^{2}$ , the coefficient will be 0.

The coefficient of $x$ is 5.

Lastly, the constant, which is the term without the $x$ is -1.

Refer to the attached picture before continuing.

After referring to the picture, we now have the coefficients for the quotient.

The coefficient of $x^{2}$ is 3.

The coefficient of $x$ is -3.

The constant is 8.

Lastly, since the last number is not zero, it's the remainder just like regular division. This can be tricky to remember, but -9 is not the actual remainder.

The remainder is actually $\frac{-9}{x+1}$ .

Now putting all the pieces together, we get:

$3x^{2} -3x+8-\frac{9}{x+1}$

3 0

2 years ago