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blagie [28]
3 years ago
15

OMG OKAY SORRY BUT AGAIN WILL DO ABSOLUTELY ANYTHING FOR THIS ONE

Mathematics
1 answer:
Illusion [34]3 years ago
8 0

Answer:

55

Step-by-step explanation:

sinx = opposite/hypotenuse = 9/11

x = arcsin(9/11) = 54.9031987, which is about 55, degrees

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Find the inverse of this matrix.<br> 1 -1 -1<br> -1 2 3 <br> 1 1 4
zheka24 [161]

Let's use Gaussian elimination. Consider the augmented matrix,

\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\-1 & 2 & 3 & 0 & 1 & 0\\1 & 1 & 4 & 0 & 0 & 1\end{array}\right]

• Add row 1 to row 2, and add -1 (row 1) to row 3:

\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 2 & 5 & -1 & 0 & 1\end{array}\right]

• Add -2 (row 2) to row 3:

\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]

• Add -2 (row 3) to row 2:

\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]

• Add row 2 and row 3 to row 1:

\left[\begin{array}{ccc|ccc}1 & 0 & 0 & 5 & 3 & -1\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]

So the inverse is

\begin{bmatrix}1&-1&-1\\-1&2&3\\1&1&4\end{bmatrix}^{-1} = \boxed{\begin{bmatrix}5&3&-1\\7&5&-2\\-3&-2&1\end{bmatrix}}

3 0
3 years ago
luke has $1.40 in quarters and nickels. he has 2 more quarters than nickels. how many coins of each type does he have?
Ainat [17]

Answer:

3 nickels and 5 quarters

Step-by-step explanation:

Let n = number of nickels

q = number of quarters

q = n+2

.25q + .05n = 1.40

Using the first equation and replacing q in the second equation

.25( n+2) + .05n = 1.40

Distribute

.25n+.50 +.05n = 1.40

Combine like terms

.30n +.5 = 1.40

Subtract .5 from each side

.3n +.5-.5 = 1.40-.4

.3n = .9

Divide by .3

.3n/.3 = .9/.3

n = 3

q = n+2

q=5

8 0
3 years ago
Read 2 more answers
What is a multiplication equation that has a solution of 2/7
prisoha [69]
1/7 *2 =2/7 take denominator with 1 over it and multiply by numerator
4 0
3 years ago
Quincy wants to go to the movies with his friends
Minchanka [31]

Answer:

2a+3b+5=20

Step-by-step explanation:

8 0
3 years ago
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Find the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2).
Archy [21]
I think it’s (27-2x-3)
6 0
3 years ago
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