An angle with the measurements of 180 degrees is formed by two opposite rays true or false

Mathematics

2 answers:

Anni [7]3 years ago

5 0

It is true, watch the picture.

ioda3 years ago

3 0

True

ps can I have a brainliest

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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:

The section containing the central angle of 230° (360° - 130°)
The triangle with sides 11.1, 11.1 & 20.12 (use Law of Cosines)

$1.\ Area(A)=\pi\ r^2\ \bigg(\dfrac{\theta}{360}\bigg)\\\\\\.\qquad \qquad =\pi(11.1)^2\bigg(\dfrac{230}{360}\bigg)\\\\\\.\qquad \qquad =247.3$

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