If xh=10 feet and mxy =100 degrees then determine the arc length of xy

The arc length XY is equal to  or

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the circumference of the circle H

The circumference is given by the formula

we have

substitute

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the length of the arc xy if the central angle is equal to 100 degrees

Remember that

---> by central angle

Simplify

----> exact value

To find out the approximate value

assume

substitute

----> approximate value

therefore

The arc length XY is equal to  or

answer: 45

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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