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Nostrana [21]
3 years ago
5

Why are henry VIII views on martin luther so ironic

Mathematics
1 answer:
Tems11 [23]3 years ago
5 0

Answer: Unlike Luther who hoped to initiate reform within the Catholic church, Henry broke his ties with the Roman Catholic Church for reasons that were both personal and political. Henry wanted to split with the church from his desire to marry Anne Boleyn, because his marriage with Catherine of Aragon had begun to be boring. That's why they're so ironic

Step-by-step explanation:

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Use the rectangle hexagon with side length 10 meters to fill in the missing information
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Answer:

A_h=150\sqrt{3}\ m^2

Step-by-step explanation:

<u>Regular Hexagon</u>

For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.

We know that x is half the length of the side length of the hexagon. Thus

x=5 m

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

\theta=360/12=30^o

Now we have \theta, the height of the triangle y is easily found by

\displaystyle tan30^o=\frac{x}{y}

Solving for y

\displaystyle y=\frac{x}{tan30^o}=\frac{5}{ \frac{1} {\sqrt{3} }}=5\sqrt{3}

The value of z can be found by using

\displaystyle sin30^o=\frac{x}{z}

\displaystyle z=\frac{x}{sin30^o}=\frac{5}{\frac{1}{2}}=10

The area of the triangle is

\displaystyle A_t=\frac{xy}{2}=\frac{5\cdot 5\sqrt{3}}{2}=\frac{25\sqrt{3}}{2}

The area of the hexagon is 12 times the area of the triangle, thus

\displaystyle A_h=12\cdot A_t=12\cdot \frac{25\sqrt{3}}{2}=150\sqrt{3}

\boxed{A_h=150\sqrt{3}\ m^2}

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