If you are moving the center of circle 2 to the the center of circle 1, then the translation rule is (x,y) ---> (x+4, y+10).
Note how x = 1 turns into x = 5. So we add 4
Also, y = -2 turns into y = 8. We add 10
The scale factor to turn the radius r = 4 into r = 8 is 2. Basically we double the radius. We can divide the two radii to see 8/4 = 2
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Summary:
To go from circle 2 to circle 1, we apply these two transformations
translation: (x,y) ---> (x+4, y+10)
dilation: scale factor 2
note:
if you want to go backwards, go from circle 1 to circle 2, then undo the transformations above
Answer:
17.7
Step-by-step explanation:
angle B = 180 - 81 - 65 = 34 degrees
as the sum of all angles in any triangle is always 180 degrees.
a/sin(A) = b/sin(B) = c/sin(C)
the sides are always on the opposite side of the angle.
so,
10/sin(34) = AB/sin(81)
AB = 10×sin(81) / sin(34) = 17.7
The frame of film is actually 50 mm high, but it looks 16 m high on the screen.
Remember that 1 m = 1,000 mm.
So everything looks (16,000)/(50) = <u>320 times</u> as big on the screen
as it is on the film. That's called the scale factor.
The penguin is 35 mm high on the film. He'll look 320 times bigger on the screen.
(320) x (35 mm) = 11,200 mm = <u>11.2 meters</u> high
Answer:
30 baskets
Step-by-step explanation:
The experimental probability Pa that Amir will make a basket is 0.4;
Pa = 0.4
the experimental probability Pj that juju with make the same basket is 0.6;
Pj = 0.6
Total number of shoot Nt = 150
Number of basket Amir will make is;
Na = Pa × Nt
Na = 0.4 × 150
Na = 60 basket
Number of basket juju will make is;
Nj = Pj × Nt
Nj = 0.6 × 150
Nj = 90 basket
The son is 4 years old and the dad is 24 years old.
