Answer:
Distance between A and B is 2672 km.
Step-by-step explanation:
Since one city B is having latitude of 23° and other town is having latitude of 47°.Radius of Earth has been given as 6380 km.
Therefore arc A from x-axis will be A = 2πr(∅/360) = 2×3.14×6380×(47/360)
= 5230.90 km
Now arc B from x-axis = 2πr(∅'/360) = 2×3.14×6380(23/360) = 2559.80 km
Therefore distance between them = 5230.9-2559.8 = 2671.9 ≅ 2672 km
Now we will rewrite the arc length formula in radians.
arc A = r×(∅×π/180)
arc A = 6380×(47×π/180) = 1665.9π
arc B = 6380×(23×π/180) = 815.22π
Now the distance between A and B = 850.68π
Answer:x=150
Step-by-step explanation:
Step 1: Subtract 1.2x from both sides.
0.8x+20−1.2x=1.2x−40−1.2x
−0.4x+20=−40
Step 2: Subtract 20 from both sides.
−0.4x+20−20=−40−20
−0.4x=−60
Step 3: Divide both sides by -0.4.
−0.4x
−0.4
=
−60
−0.4
Answer:
Step-by-step explanation:
Given
See attachment for figure
Required
The scale factor (k)
Since point C is the center of dilation, the scale factor (k) is calculated using:
So, we have:
Answer:
Option (3)
Step-by-step explanation:
Glide reflection of a figure is defined by the translation and reflection across a line.
To understand the glide rule in the figure attached we will take a point A.
Coordinates of the points A and A' are (2, -1) and (-2, 4).
Translation of pint A by 5 units upwards,
Rule to be followed,
A(x, y) → A"[x, (y + 5)]
A(2, -1) → A"(2, 4)
Followed by the reflection across y-axis,
Rule to be followed,
A"(x, y) → A'(-x, y)
A"(2, 4) → A'(-2, 4)
Therefore, by combining these rules in this glide reflections of point A we get the coordinates of the point point A'.
Option (3) will be the answer.
