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Triss [41]
3 years ago
12

The figure shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis an

d from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair 4, 1, vertex B on ordered pair 3, 1, and vertex C on ordered pair 4, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 4, 4, vertex B prime on ordered pair negative 3, 4, and vertex C prime on ordered pair negative 3, 1. What set of transformations is performed on triangle ABC to form triangle A'B'C'? A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down

Mathematics
2 answers:
mihalych1998 [28]3 years ago
8 0
Check the picture.

since the choices all have rotation about the origin, we must shift the original triangle in a suitable position. This is done by connecting any of the points of A'B'C' to the origin, and extend this line segment, as shown in the picture.

The most appropriate point is C', and we draw C" such that C'O=OC", and C', O and C" are collinear.

We see that the distance CC'' is 5.

So 

Answer is: 

"<span>A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin</span>"

skad [1K]3 years ago
5 0

Answer:

"A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin"

Step-by-step explanation:

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Answer:

I do 1 option for you as an example, you need to check the leftover by yourself.

Step-by-step explanation:

for d) y(0) = 0 and y'(pi) =0

y(0) = C_1e^0cos(0)+ C_2 e^0 sin(0) = 0 \longrightarrow C_1 = 0

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3 0
2 years ago
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Levart [38]
<h3>Exact Answer: (160/3)pi</h3><h3>Approximate Answer: 167.47</h3>

The approximate answer results when you use pi = 3.14, and this approximate answer is rounded to two decimal places

note that (160/3)pi is the same as 160pi/3

========================================================

Work Shown:

r = radius = 4

h = height = 10

V = volume of cone

V = (1/3)pi*r^2*h

V = (1/3)pi*4^2*10

V = (160/3)pi exact answer

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