180 m
Step-by-step explanation:
Information given:
- length of Mrs. Flores' garden= 20 m
- width of Mrs. Flores' garden = 15 m
- Scale factor = 3
Since scale factor is 3, to get measurements of sides Mr. Sosa's garden, sides of Mrs. Flores's have to be multiplied by 3. Hence,
- length of Mr. Sosa's garden= 3×20= 60 m
- width of Mr. Sosa's garden= 3×15= 45 m
Diagonal of a rectangle = √length²+width²
Let Diagonal = D,
D= √60²+45²
=√3600+2025
=√5625
=75 m
If Mr. Sosa cut his garden diagonally,
perimeter= length+width+diagonal
=60+45+75=180 m
Answer:
(a) (x-2)^2 +(y-2)^2 = 16
(b) r = 2
Step-by-step explanation:
(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.
Circle centered at (h, k) with radius r:
(x -h)^2 +(y -k)^2 = r^2
The given circle is ...
(x -2)^2 +(y -2)^2 = 16
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(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:
r = 2
Ok so you round 31 to 30 and 43 to 40 and then you multiply 30 by 40 and get 1200. 1200 is the same thing as 1200.00 bc you can take off the zeros after the decimal and it will be the same. Hope this helped and if your still confused you let me know I'll try to explain it more.
Answer:
-3 and 1
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