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Romashka [77]
3 years ago
13

A triangle is rotated 90° about the origin. Which rule describes the transformation?

Mathematics
1 answer:
Valentin [98]3 years ago
7 0

Answer:

(x, y) - (y, -x)

Step-by-step explanation:

Rotation is a process in which the orientation of a given figure is changed by turning it about a point called origin.  The rotation can be done either clock-wisely or counterclockwise about the origin.

If the given triangle is rotated 90^{0} clockwise, the rule that describe the transformation is; (x, y) - (y, -x)

If the given triangle is rotated 90^{0} counterclockwise, the rule that describe the transformation is; (x, y) - (-y, x)

In the given question, the required rule is; (x, y) - (y, -x). This shows a clockwise rotation of  90^{0} about the origin.

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Given the circumference of a circle is 26 pi, what is the area of the circle? Show work. Leave answer in term of pi.
Ierofanga [76]

Answer:169pi

Step-by-step explanation:

Circumference(c)=26pi

Circumference(c)=2 x pi x radius(r)

26pi=2pi x r

Divide both sides by 2pi

26pi/2pi=(2pi x r)/2pi

13=r

Radius(r)=13

Area of circle=pi x r^2

area of circle=pi x 13^2

Area of circle=169pi

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steposvetlana [31]

Answer:

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Step-by-step explanation:

#1) 6.2% of her gross pay would be

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1.45% of her gross pay would be

0.0145(765) = 11.09

22% of the state tax withheld would be

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This means her gross pay would be

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33500-28600 = 4900

This makes it

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#3) Knowing where branches or ATMs are is helpful when choosing a bank.  Additionally knowledge of personal usage habits and needs will help plan where best to bank.

#4) Having more ATMs available makes banking more convenient to some customers, which is more important to some customers than high interest rates.

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#8) At the end of the day Monday, Elizabeth has

252-114.6+150 = $287.40

At the end of Tuesday she has

287.40-79.68 = $207.72

At the end of Wednesday she has

207.72-161.39 = $46.33

At the end of Thursday she has

46.33-57.40 = -11.07

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Answer:

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