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SVETLANKA909090 [29]
2 years ago
6

7. Use Repeated Reasoning Given the preimage of a triangle with vertices at

Mathematics
1 answer:
adelina 88 [10]2 years ago
3 0

The coordinates of the vertices of the image are L' = (-4, 6), M' = (-5, 1) and  N' = (-7, 3)

<h3>What are the coordinates of the vertices of the image?</h3>

The vertices of the preimage of the triangle are given as:

L = (4, -6)

M = (5, -1)

N = (7, -3)

The rotation is given as: 180 degrees counterclockwise

<h3 />

The rule of this rotation is

(x, y) => (-x, -y)

So, we have:

L' = (-4, 6)

M' = (-5, 1)

N' = (-7, 3)

Hence, the coordinates of the vertices of the image are L' = (-4, 6), M' = (-5, 1) and  N' = (-7, 3)

Read more about rotation at:

brainly.com/question/4289712

#SPJ1

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Simplify the expression using trigonometric identities: sec (–θ) – cos θ.
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Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

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sec ( - θ ) - cos θ

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{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

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What equation represents a line that when if graphed, passes through the points (0, -1) and
Keith_Richards [23]
Y= 2x-1
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Which is not an improper fraction equal to eight
Oliga [24]
The fraction that is improper and it equals 8 is 64/8
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Read 2 more answers
Approximate the change in the volume of a sphere when its radius changes from r= 5ft to r= 5.1ft (v(r)= 3/4 pi r^3)?
leva [86]

Answer:

18.03 cubic feet

Step-by-step explanation:

Hello,

Step 1

find the volume of the sphere when radius= 5 ft

v(r)= \frac{3}{4} \pi r^3\\v(5)= \frac{3}{4}\pi (5\ ft)^3\\v(5)= \frac{3}{4}\pi *125\ ft^{3} \\v(5)=294.52\ cubic\ feet\\

Step 2

find the volume of the sphere when radius= 5.1 ft

v(r)= \frac{3}{4}\pi r^3\\v(5.1)= \frac{3}{4} \pi (5.1\ ft)^3\\v(5.1)= \frac{3}{4}\pi *132.651\ ft^{3} \\v(5.1)=312.551\ cubic\ feet\\\\

Step 3

Compare the Volumes to find the change

\frac{v(r_{2})}{v(r_{1})} =\frac{312.551}{294.52} =1.06

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)

Now, find the change

change= {v(r_{2})-{v(r_{1})}} \\change=312.551\ cubic\ feet\ -294.52 cubic feet \\ change=18.031\ cubic\ feet

change=18.03 cubic feet

Have a great day.

4 0
3 years ago
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