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3 years ago

I need help quickly with these problems please see the images thank you so much

Mathematics

1 answer:

mr Goodwill [35]3 years ago

7 0

Using cosine law:
24 ^ 2 = 10 ^ 2 + 16 ^ 2 -2 * 10 * 16 * cos (G)
Clearing we have:
cos (G) = (24 ^ 2-10 ^ 2-16 ^ 2) / (- 2 * 10 * 16)
cos (G) = - 0.6875
Clearing the angle:
G = acos (-0.6875)
G = 133.4325366
Rounding:
G = 133.4
Answer:
G = 133.4
option 4

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olga_2 [115]

Answer:

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Step-by-step explanation:

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$\begin{array}{rcl}A& = &3.14\times 11^{2}\times\dfrac{49}{360}\\\\ & = &3.14 \times 121 \times 0.1361\\ & = & \mathbf{51.71}\\\end{array}\\\text{The area of the sector is }\boxed{\textbf{51.71 cm}^{2}}$

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