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umka2103 [35]
3 years ago
7

Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the a

ngle
Mathematics
1 answer:
Karolina [17]3 years ago
8 0

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

h^2 = 16 + 9

h^2 = 25

h = 5

h = 5

Tangent = opposite/adjacent

= y/x

= 3/4

= 0.75

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Solve the equation Axb by using the LU factorization given for A. Also solve Axb by ordinary row reduction. A ​, b Let Lyb and U
bulgar [2K]

Answer: Hello your question is poorly written attached below is the complete question

answer:

y = \left[\begin{array}{ccc}-4\\-11\\5\end{array}\right]

x = \left[\begin{array}{ccc}16\\12\\-40\end{array}\right]

Step-by-step explanation:

y = \left[\begin{array}{ccc}-4\\-11\\5\end{array}\right]

x = \left[\begin{array}{ccc}16\\12\\-40\end{array}\right]

attached below is the detailed solution using LU factorization

6 0
3 years ago
Solve the system of equations. Show your work.<br> y = x^2 -3x +4 <br> x + y = 4
sesenic [268]

Answer:

x + y = 2 ,  y = x 2 − 4 x + 4

Replace all occurrences of  

y

with  x 2 − 4 x + 4

in each equation.

x 2 − 3 x + 4 = 2 y = x 2 − 4 x + 4

Solve for  

x

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x = 2 , 1 y = x 2 − 4 x+ 4

Replace all occurrences of  

x  with  2

in each equation.

y=0 x = 2

Replace all occurrences of  x

with  1

in each equation.

y = 1 x = 1

The solution to the system is the complete set of ordered pairs that are valid solutions.

( 2 , 0 ) ( 1 , 1 )

The result can be shown in multiple forms.

Point Form:

( 2 , 0 ) , ( 1 , 1 )

Equation Form:

x=2 , y = 0 x = 1 , y = 1

Step-by-step explanation:

3 0
2 years ago
I Really need help!!! 1+ (-2) - 1 + 2.
dybincka [34]

Answer:

0

Step-by-step explanation:

8 0
3 years ago
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Stolb23 [73]

Answer:

En español:

El número es 21.

In English:

The number is 21.

Step-by-step explanation:

En español:

Para encontrar la respuesta, restarías 17 de 38.

38 - 17 = 21

In English:

To find the answer you would subtract 17 from 38.

38 - 17 = 21

7 0
3 years ago
The Shakespeare festival produced by a local theater company was attended by 14,350 people, of whom 28% were high school student
loris [4]
Take 14,350 x .28 = 4,018 of them were high school students

The total attended were 14,350 people.  28% of them were high school students, so it's a simple multiplication problem to find the number of high schoolers.
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3 years ago
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