Find the exact values of the six trigonometric functions of the angle shown in the figure.

mariarad [96]

Pick 2 pairs of equations then use addition and subtraction to eliminate the same variable from both pairs of equations then it is left with 2 variables
Pick two pairs
4x - 3y + z = - 102x + y + 3z = 0
eliminate the same variable from each system
4x - 3y + z = - 10
2x + y + 3z = 0

4x - 3y + z = - 10
-4x - 2y - 6z = 0

-5y - 5z = - 10

2x + y + 3z = 0
- x + 2y - 5z = 17

2x + y + 3z = 0
-2x + 4y - 10z = 34

5y - 7z = 34
Solve the system of the two new equations:
-5y - 5z = - 10
5y - 7z = 34

-12z = 24
which is , z = - 2

-5y - 5(- 2) = - 10
-5y = - 20
wich is , y = 4
substitute into one of the original equations
- x + 2y - 5z = 17
- x + 2(4) - 5(- 2) = 17
- x + 18 = 17
- x = - 1
x = 1
which is , (x, y, z) = (1, 4, - 2)
Does 2(1) + 4 + 3(- 2) = 0 ? Yes

7 0

3 years ago

What is the value of 6x – 3y if x = 5 and y=-1? F. 11 G. 33 H. 65 1. 65

atroni [7]

Answer:

it is G.33

brainliest plz

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Cho xOz ‘ và yOz ‘ là 2 góc kề bù. Gọi Ot là phân giác của yOz ‘. Biết xOz ‘ = 50◦ , tính xOt

ch4aika [34]

Answer:

ask in English then I can help u

5 0

3 years ago

What is the equation process to this question?

Andreyy89

The given equation is $h(t)=-16t^2+80t+4$ where h is the height, in feet, of a ball and t is the time, in seconds.

Part a: The height of the ball when t = 2 seconds:

The height of the ball above the ground 2 seconds after it is released can be determined by substituting t= 2 in the equation $h(t)=-16t^2+80t+4$ , we get;

$h(2)=-16(2)^2+80(2)+4$

Simplifying the terms, we get;

$h(2)=-64+160+4$

$h(2)=100$

Thus, the height of the ball after 2 seconds is 100 feet.

Part b: The height of the ball when t = 4 seconds:

The height of the ball above the ground 4 seconds after it is released can be determined by substituting t = 4 in the equation $h(t)=-16t^2+80t+4$ , we get;

$h(4)=-16(4)^2+80(4)+4$

Simplifying the terms, we get;

$h(4)=-256+320+4$

$h(4)=68$

Thus, the height of the ball after 4 seconds is 68 feet.

5 0

4 years ago

The table lists the speeds of the fastest roller coasters in North America and Asia.

kotykmax [81]

The difference of the means of the two data sets is = 4.57

The mean absolute deviation of the roller coaster speeds in North America is 13.3

The mean absolute deviation of the roller coaster speeds in Asia is 16.8

<h3>How to solve for the means</h3>

First we have to start with the data for North America

128, 120, 100, 93, 92, 80.8, 85, 82, 80, 77

To get the mean you have to sum up the values and divide through by the total number 10

937.8/10

Mean = 93.78

Mean Absolute Deviation = (128 - 93.78) + ( 120 - 93.78) + ( 100 - 93.78) + ( 93 - 93.78) + ( 92 - 93.78) + ( 80.8 - 93.78) + ( 85 - 93.78) + ( 82 - 93.78) + ( 80 - 93.78) + ( 77 - 93.78) / 10

133.32/10 = 13.3

For Asia, we have the data as

149.1, 106.9, 95, 83, 90, 80.3, 78.3, 71.5, 69.6, 68.4

Mean for Asia = 892.1/10

= 89.21

Mean Absolute Deviation = (149.1 - 89.21) + ( 106.9 - 89.21) + ( 95 - 89.21) + ( 83 - 89.21) + ( 90 - 89.21) + ( 80.3 - 89.21) + ( 78.3 - 89.21) + ( 71.5 - 89.21) + ( 69.6 - 89.21) + ( 68.4 - 89.21) / 10

= 168.32/10

16.8

The difference in the means = 93.78 -89.21

= 4.57