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lakkis [162]
3 years ago
7

Circle A has center of (4, 5), and a radius of 3 and circle B has a center of (1,7), and a radius of 9. What steps will help sho

w that circle A is similar to circle B?
Mathematics
1 answer:
telo118 [61]3 years ago
6 0

Answer:

Step-by-step explanation:

The radius of a circle is independent of the location of its center, and circles are always similar.  Here, therefore, the circles are similar; their shapes are exactly the same.  Only the radii differ from one another.  The radius of Circle A is 3 and that of Circle B is 9; thus the radii differ by a factor of 3.

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2 years ago
Need help finding the area of the shaded region. Round to the nearest tenth. Need help ASAP
Sergio [31]

Answer:   294.4 m²

<u>Step-by-step explanation:</u>

Separate the shaded region into two parts:

  1. The section containing the central angle of 230° (360° - 130°)
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1.\ Area(A)=\pi\ r^2\ \bigg(\dfrac{\theta}{360}\bigg)\\\\\\.\qquad \qquad =\pi(11.1)^2\bigg(\dfrac{230}{360}\bigg)\\\\\\.\qquad \qquad =247.3

2.\ \text{Use Law of cosines to find the length of the third side.}\\\text{ Then use Heron's formula to find the Area of the triangle.}\\\\s=\dfrac{11.1+11.1+20.12}{2}=21.16\\\\\\A=\sqrt{s(s-a)(s-b)(s-c)}\\\\.\ =\sqrt{21.16(21.16-11.1)(21.16-11.1)(21.16-20.12)}\\\\.\ =\sqrt{2227}\\\\.\ =47.1

Area of shaded region = Area of (1) + Area of (2)

                                      =    247.3     +      47.1

                                      =               294.4

8 0
3 years ago
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6^1/3+1/4 = 6^x/y
6^7/12 = 6^x/y
 
So the product would be 6^7/12
x = 7
y = 12</span>
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