Answer:
67.3 degrees
Step-by-step explanation:
Use tan ^-1
tan^-1 (55/23) = 67.3
Answer:
The equations that represent the equation of the line are:
y = -2x + 16 ⇒ A
2x + y = 16 ⇒ D
y - 6 = -2(x - 5) ⇒ E
Step-by-step explanation:
The slope intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (y at x = 0)
The formula of the slope is 
∵ The line is passing through points (5 , 6) and (4 , 8)
∴
= 5 and
= 4
∴
= 6 and
= 8
- Substitute them in the formula of the slope to find it
∵ 
∴ m = -2
- Substitute it in the form of the equation
∴ y = -2 x + b
- To find b substitute x and y in the equation by the coordinates
of any point in the line
∵ x = 5 and y = 6
∴ 6 = -2(5) + b
∴ 6 = -10 + b
- Add 10 to both sides
∴ 16 = b
∴ y = -2 x + 16
∴ The equation of the line is y = -2x + 16
∴ A represents the equation of the line
∵ 2x + y = 16
- Subtract 2x from both sides
∴ y = -2x + 16
∴ D represents the equation of the line
∵ y - 6 = -2(x - 5)
∴ y - 6 = -2x + 10
- Add 6 to both sides
∴ y = -2x + 16
∴ E represents the equation of the line
The equations that represent the equation of the line are:
y = -2x + 16 ⇒ A
2x + y = 16 ⇒ D
y - 6 = -2(x - 5) ⇒ E
24 is a multiple of 6 because 1st of all, 6 goes into 24 and 24 does not go into 6 equally. 2nd of all, 6 x 4 = 24 so that means 6 is a factor of 24.
Answer:
See answer below
Step-by-step explanation:
You are missing data such as the angle of the boat next to Dolores. I found an exercise similar to this, and I'm going to show it here and use the missing data to show you how to do it:
<u>Dolores is on a bridge that is 45 feet above a lake. She sees a boat at a 30 degree angle of depression. What is Dolores' approximate horizontal distance from the boat?</u>
<u></u>
According to that, I will use the angle of 30° to do this, but the distance of 42 feet.
Now, we can see this as a triangle. Dolores is on a bridge 42 feet above a lake, this 42 feet distance should be one side of the triangle (The vertical forming the 90° angle), and the boat that is on the lake, is seen with an angle of 30°. So the distance of the boat, to the spot where dolores is, under the bridge would be the horizontal side.
With this, we have the opposite side (a) and the adyacent side (b) of the triangle, and we have the angle, therefore:
tanα = a/b
Replacing we have:
tan30° = 42/b
b = 42 / tan30°
b = 72.75 feet
Hope this helps
Answer:
Quadrant 4
there are four quantdrants, A is on the fourth one