70,000 because the 3 from 1 thousand is not higher than 5 so you keep it the same and change everything behind it to a zero
(x , y → (x - 5, y - 3)
the coordinates of S(1 , 5),T(1,1), U(4, 1)
the coordinates of the image are S'( - 4, 2), T'( - 4, - 2), U'( - 1 , - 2)
consider the difference in the x- coordinates of the original to the image
1 → - 4 = - 5, 1 → - 4 = - 5, 4 → - 1 = - 5
so the x- coordinate rule is x - 5
now consider the difference in the y- coordinates of the original to the image.
5 → 2 = - 3, 1 → - 2 = - 3, 1 → - 2 = -3
so the y- coordinate rule is y - 3
hence (x, y) → (x - 5, y - 3)
Answer:
25°
Step-by-step explanation:
The angle of a right triangle is always 90°. 90-35=51. 25 times 2 is 50 plus 1 is 51, so x is 25°.
Answer:
the hawk has flow 824.62 meters southwest of the mountain peak.
Step-by-step explanation:
In order to find the distance we need to use the Pythagoras theorem
d^2 = 800^2 + 200^2
d= 824.6 m
we can find the direction by using the eq for a tangent
he opposite side is 200 m and the adjacent side is 800m
tan theta = opposite / adjacent
theta = arc tan (800/200)
The hawk is at a distance of 824.6m flying at an angle 76 degrees NE of the mountain peak.
The final location will be southwest of the mountain peek.
a2+b2=c2
a = 200
b= 800
c = √(2002+8002) = 824.62
So the hawk has flow 824.62 meters southwest of the mountain peak.
