Answer:
(a) 
(b) 
Step-by-step explanation:
Given
Solving (a): Reflect across x and y-axis.
Reflection across x-axis has the following rules
So, we have:
Reflection across y-axis has the following rules
So, we have:
Hence, the new point is: (-4,-3)
Solving (b): Rx . Do,2 (2,4)
reflect across the x-axis
Reflection across x-axis has the following rules
So, we have:
---- when P is reflected across the x-axis
dilate by a scale factor of 2
The rule is:
So, we have
Open bracket
30. Sarah = 5+3 = 8W
31. Noah = 8W
32. Yes. Both are equivalent. They both earned the same last week.
8w=8w. (Use any kind of boxed representation to show the equivalents)
Answer:
Step-by-step explanation:
54.30/1645 = 0.033 = 3.3%
Answer:
4.56
Step-by-step explanation:
i see a sector hosting 2 semi circles.
this sector area will be .25 of area of circle with radius 4ft.
area of sector = .25*π*16= 4π ft^2
area of semi circle of radius 2ft = .5π*4= 2πft^2
area of 2 semicircles = 4π
the total area of sector = area of 2 semicircles - intersection area + area not covered by semi circles
4π = 4π - intersection area+area not covered by semi circles
intersection area = area not covered by semi circles
now draw a square starting from the intersection point of 2 semi circles at their upper portion. the side will be 2ft
the area of intersection will be covered in the square.
area of intersection = 2*quarter area of circle of radius 2ft - area of square
= 2*(.25π4) - 4
2π-4 = 2.28
area of intersection = area not covered by semicircle
so area of shaded region = 4.56
Answer:
10
Step-by-step explanation:
By using intersecting chord theorem:
NH.HT=MH.HY
(x+20)*8=12*20
x+20=12*20/8
x+20=240/8
x+20=30
x=30-20
x=10
