34.98 x 104 = ______

12-km run. How many miles is the run?

elena-14-01-66 [18.8K]

Answer:

the amount of miles in 12km

Step-by-step explanation:

6 0

3 years ago

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Help please!!!!!!!!!

In-s [12.5K]

ANSWER

24

EXPLANATION

For a matrix A of order n×n, the cofactor $C_{ij}$ of element $a_{ij}$ is defined to be

$C_{ij} = (-1)^{i+j} M_{ij}$

$M_{ij}$ is the minor of element $a_{ij}$ equal to the determinant of the matrix we get by taking matrix A and deleting row i and column j.

Here, we have

$C_{11} = (-1)^{1+1} M_{11} = M_{11}$

M₁₁ is the determinant of the matrix that is matrix A with row 1 and column 1 removed. The bold entries are the row and the column we delete.

$\begin{aligned} A=\begin{bmatrix} \bf 1 & \bf -6 & \bf -4\\ \bf 7 & 0 & -3 \\ \bf -9 & 8 & -8 \end{bmatrix} \implies M_{11} &= \text{det}\left(\begin{bmatrix} 0&-3 \\ 8&-8 \end{bmatrix} \right) \end{aligned}$

Since the determinant of a 2×2 matrix is

$\det\left( \begin{bmatrix} a & b \\ c& d \end{bmatrix} \right) = ad-bc$

it follows that

$\begin{aligned} A=\begin{bmatrix} \bf 1 & \bf -6 & \bf -4\\ \bf 7 & 0 & -3 \\ \bf -9 & 8 & -8 \end{bmatrix} \implies M_{11} &= \text{det}\left(\begin{bmatrix} 0&-3 \\ 8&-8 \end{bmatrix} \right) \\ &= (0)(-8) - (-3)(8) \\ &= -(-24) \\ &= 24 \end{aligned}$

so $C_{11} = M_{11} = 24$

4 0

3 years ago

Simplify.<br><br><br> Please select the best answer from the choices provided

ehidna [41]

The answer is 3 because 1/3 of 3 is 1 and 1/3 of 9 is 3 and 3 times 1 is 3

Answer: 3

6 0

3 years ago

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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. C = 71°, a = 27, c = 26

guajiro [1.7K]

We have

SinC/ c = Sin A / a

Sin 71/ 26 = Sin A / 27

Sin A = 27 Sin 71 / 26 = about .982

So°

Sin-1(.982) = A = 79. 08°

Then angle B = 180 - 71 - 79.08 = 29.92°

And b is given by

b/sin29.92 = 26/sin 71

b = 26sin29.92/sin71 = about 13.72

But A could also be an obtuse angle = 180 - 79.08 = 100.92°

So we have

B = 180 - 71 - 100.92 = 8.08°

And we have

b / sin 8.08 = 26/sin71

b = 26sin8.08/sin 71 = 3.865

8 0

3 years ago

It takes 18 hours to fill a pool using 8 garden hoses. How long would it take to fill the same pool using 9 garden hoses?

levacccp [35]

Use rates, so 8 garden hoses over 18 hours
then find the how many hours one garden house can fill up by doing this = 18/8 you divide the 8 for both sides which is about 2.25/1
so then you times 9 which is about 20/9 hoses
your answer is 20

3 0

3 years ago

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34.98 x 104 = _______