The distance would be 9.
Hope I could help.
Answer:
Look Below, if I'm wrong then ignore this answer.
Step-by-step explanation:
If we were to use the formula y=mx+b, 2/3 is the slope and (0,-1) is the y intercept, so the x intercept must be about (1.5,0), so the graph is probably
Answer:
The coordinates of the vertex D. are (2, -5)
The coordinates of the vertex E. are (3, -2)
The coordinates of the vertex F. are (6, -4)
Step-by-step explanation:
The point D of the graph is located +2 on the x-axis and -5 on the y-axis
The point E of the graph is located +3 on the x-axis and -2 on the y-axis
The point F of the graph is located +6 on the x-axis and -4 on the y-axis
I hope that this helps! :)
<u>Answer:</u>
The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north.
<u>Step-by-step explanation:</u>
• To find the magnitude of the resultant vector, we have to use Pythagoras's theorem:

where:
a ⇒ hypotenuse (= resultant vector = ? mi)
b, c ⇒ the two other sides of the right-angled triangle (= 452 mil North, 767 mi West).
Using the formula:
resultant² = 
⇒ resultant = 
⇒ resultant = 890.3 mi
• To find the direction, we can find the angle (labeled <em>x</em> in diagram) that the resultant makes with the north direction:

⇒ 
⇒ 
∴ The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north .
Answer:
1)
, 2)
, 3) 
Step-by-step explanation:
1) Triangle is a right triangle since tangent line is perpendicular to the radius of the circle. Based on the fact that the sum of internal angles in triangles equals 180°, we find the value of the angle
:


2) Both triangles are symmetrical right triangles since tangent lines are perpendicular to the two radii and common side is parallel to the third radius. Based on the fact that the sum of internal angles in triangles equals 180°, we find the value of the angle
:


3) The figure is formed by two symmetrical right triangles. These triangles are right-angled and symmetrical since tangent lines are perpendicular to the two radii and common side is parallel to the third radius. Based on the fact that the sum of internal angles in quadrilaterals equals 360°, we find the value of the angle
:

