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2 years ago

Batman slings a 320 ft. climbing cable from a helicopter to his batmobile below. If the cable tightens up

Mathematics

1 answer:

Leokris [45]2 years ago

5 0

Answer:

188 ft

Step-by-step explanation:

helicopter

___________________________________________

|\ 54°

| \

| \ 320 ft

| \

| 54° \

-------------+--------------+-------------------------------

cos 54° = x/(320 ft)

x = 320 ft × cos 54°

x = 188 ft

Answer: 188 ft

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[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation

irina1246 [14]

Answer:

$y=-\frac{158}{579}$

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

$A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]$

And the vector B is formed with the solution of each equation of the system: $b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]$

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called $A_{2}$ .

$A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]$

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

$y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}$

$y=-\frac{158}{579}$

7 0

3 years ago

It is not A. or B. I will give brainliest

mars1129 [50]

Answer:

2m + 4 = 5

Step-by-step explanation:

Cross multiply.

2(m + 2) = 5 * 1

2m + 4 = 5

Answer: 2m + 4 = 5

3 0

2 years ago

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One paper clip has alength of 1/10 foot. all of sam's paper clips lined up endto end measure 5 feet long.how many paper clips do

Norma-Jean [14]

Sam has 50 paper clips

If one paper clip has a length of 1/10 foot than 10 paper clips would make 1 foot.

6 0

3 years ago

For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.

slamgirl [31]

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8.

The complete question is

a) (f + g)(x), (b) (f – g)(x), (c) (f × g)(x), (d) (f / g)(x), (e) (f + g)(7), (f) (f - g)(2), (g) (f.g)(3), (h) (f/g)(27)

<h3>What is a Function ?</h3>

A function is the law that defines the relation between independent and a dependent variable.

It is given that

f(x) = 3x+8

g(x) = 8x-3

(a) (f + g)(x) = 3x+8 +8x-3 = 11x+5

(b) (f – g)(x) = 3x+8 -8x+3 = -5x +11

(d)(f / g)(x) = (3x+8)/(8x-3)

(e) (f + g)(7) = 11*7+5 = 77+5 = 82

(f) (f - g)(2)= -5*2 +11 = 1

(g) (f.g)(3) =24*9 +55*3 -24 = 357

(h) (f/g)(27) = (3x+8)/(8x-3) = (3 * 27 +8)/(8*27-3) = 89/213

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8)

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2 years ago

Help im new and need help please the thing is 9.9 x 7 =__._ help please

Bezzdna [24]

Answer:

69.3 is the answer

{ Hello and welcome to Brainly :) i hope i helped }

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