Answer:
d=5.39 units
Step-by-step explanation:
Given A (-3, -2)
T= (x+5, y-3)
T= (-3+5, -2-3)
T=(2,-5)
Applying the translation on;
A( -3,-2)
A' (-3+2, -2+ -5)
A'= (-1, -7)
Distance
d= 
A = (-3,-2) and A'(-1, -7)
d=√ (-1--3)² + (-7--2)²
d=√ (2)²+(-5)²
d=√4+25
d=√29
d=5.39 units
Answer:
68
Step-by-step explanation:
8 + 3 (71 – 51)
71-51= 20
20*3=60
60+8=68
Answer:
6 feets
Step-by-step explanation:
The triangle described in the question has been sketched in the picture attached below :
From the triangle, we could solve for X, which is the base of the triangle using trigonometry :
Sinθ = opposite / hypotenus
Sin 30° = x / 12
0.5 = x / 12
x = 12 * 0.5
x = 6 feets
Hence base, x = 6 feets
Answer:
46°
Step-by-step explanation:
When secants intersect each other and a circle, the external angle (A) is half the difference of the intercepted arcs:
∠A = (arcDC -arcBC)/2
12° = (arcDC -22°)/2 . . . . . . . fill in the given numbers
24° = arcDC -22° . . . . . . . . . multiply by 2
46° = arcDC . . . . . . . . . . . . . add 22°
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