2 years ago

Which of the following possibilities will form a triangle?

Mathematics

1 answer:

Free_Kalibri [48]2 years ago

8 0

The answer is c because if you add 2 sides and the two sides are greater than the third than the triangle is possible

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How to write a ratio of the first measurement to the second measurement

Marianna [84]

X:y
is that what you meant?

7 0

2 years ago

I only need help on the second and third one

Iteru [2.4K]

let's first off notice that, on the 2), the sector is really half of the whole circle, and on 3) the sector is one quarter of the whole circle.

now, on 2) AB is the diameter of 4 units, therefore it has a radius of 2, or half that.

$\bf \boxed{2} \\\\\\ \stackrel{\textit{area of a circle}}{A=\pi r^2}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies A=\pi 2^2\implies A=4\pi \\\\\\ \stackrel{\textit{half of that}}{A=2\pi}\implies A=\stackrel{\textit{rounded up}}{A=6.3~ft^2} \\\\[-0.35em] ~\dotfill$

$\bf \boxed{3} \\\\\\ \stackrel{\textit{area of a circle}}{A=\pi r^2}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=20 \end{cases}\implies A=\pi 20^2\implies A=400\pi \\\\\\ \stackrel{\textit{one quarter of that}}{A=100\pi }\implies \stackrel{\textit{rounded up}}{A=314.2~in^2}$