Answer:
We know that 30/25 is 1.2 or 1 1/5. SO if we divide 20 by that then we'll get 16.6667. So I won't give you the answer because its best that you learn to do this yourself because its more beneficial than telling you. What you have left is 16.6667=4x-4. Combine like terms and you'll get your answer. But if your still stuck then you can just let me know and I'll help you as much as I can.
Given:
Area of a sector = 64 m²
The central angle is
.
To find:
The radius or the value of r.
Solution:
Area of a sector is:

Where, r is the radius of the circle and
is the central angle of the sector in radian.
Putting
, we get




Taking square root on both sides, we get


Therefore, the value of r is
m.
L=2W+2
W=(L-2)/2
A=LW, using W from above makes this
A=L(L-2)/2
2A=L^2-2L
L^2-2L-2A=0, given A=84
L^2-2L-168=0
(L-14)(L+12)=0, since L>0
L=14
The length of the rug is 14 ft
(W=(L-2)/2=6 ft)
Answer:
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The coordinates of the vertices of ΔABC are:A( x1, y1), B( x2, y2) and C( x3, y 3 ). After it is reflected across the x-axis, coordinates are ( x1, -y1), (x2, -y2), (x3, -y3). Finally, the coordinates of the vertices of ΔA´B´C´ after translation are: A´( x1, 4-y1), B´( x2, 4- y2), C´( x3, 4-y3 )