3 years ago

Help please Line A , B , C or D ? See the picture

Mathematics

1 answer:

Evgen [1.6K]3 years ago

6 0

Answer:

Step-by-step explanation:

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In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 5 in.?

Contact [7]

Hello!

since this is a 45-45-90 degree triangle the hypotenuse is a $\sqrt{2}$ where a is one of the legs

So the answer is 5 $\sqrt{2}$

Hope this helps!

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3 years ago

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Find the measure of the arc indicated

exis [7]

Answer:

Step-by-step explanation:

Angle GPE is an inscribed angle. It intercepts arc GFE. The rule for inscribed angles and the arcs they intercept is that the angle is half the measure of the arc it intercepts. Angle P is 96, so that means that arc GFE is twice that. 2(96) = 192. We have arc FG as 92, so that means that arc FE is 192 - 92 which is 100 degrees. The third choice down.

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3 years ago

Let $DEF$ be an equilateral triangle with side length $3.$ At random, a point $G$ is chosen inside the triangle. Compute the pro

umka21 [38]

$|\Omega|=(\text{the area of the triangle})=\dfrac{a^2\sqrt3}{4}=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\\|A|=(\text{the area of the sector})=\dfrac{\alpha\pi r^2}{360}=\dfrac{60\pi \cdot 1^2}{360}=\dfrac{\pi}{6}\\\\\\P(A)=\dfrac{\dfrac{\pi}{6}}{\dfrac{9\sqrt3}{4}}\\\\P(A)=\dfrac{\pi}{6}\cdot\dfrac{4}{9\sqrt3}\\\\P(A)=\dfrac{2\pi}{27\sqrt3}\\\\P(A)=\dfrac{2\pi\sqrt3}{27\cdot3}\\\\P(A)=\dfrac{2\pi\sqrt3}{81}\approx13.4\%$