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Stels [109]
3 years ago
11

Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long

Mathematics
1 answer:
enyata [817]3 years ago
3 0
Regular hexagon consists of 6 congruent triangles.
So the area, A, of the regular hexagon is 6 x the area of one triangle
The area of a triangle is half the base times the height
The height of a triangle is the apothem of the hexagon and the base is the side of the hexagon.

A = 6* 10.4 * (12/2) yard^2 = 374.4 yard^2
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Answer:

It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).

Step-by-step explanation:

We can demonstrate that Circle R is similar to Circle Q by translating the center of the former one to the center of latter one. Meaning that every point of circle R experiments the same translation. Vectorially speaking, a translation is defined by:

O'(x,y) = O(x,y) + T(x,y) (1)

Where:

O(x,y) - Original point.

O'(x,y) - Translated point.

T(x,y) - Translation vector.

If we know that O(x,y) = (2,-9) and O'(x,y) = (-4,3), then the translation vector is:

T(x,y) = O'(x,y)-O(x,y)

T(x,y) = (-4,3) - (2,-9)

T(x,y) = (-6,12)

It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).

4 0
3 years ago
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lbvjy [14]

Answer:

x=5

Step-by-step explanation:

6 0
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3/5 does nor belong, as the other three fractions are just different versions of the same fraction :) 4/10 can be simplified into 2/5. If you multiply this fraction by three, 2/5 would become 6/15 :) Hope this helped!!
7 0
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ADDING FRACTIONS:
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Here is your answer:

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  • = \frac{65}{88}

Therefore the answer is "65/88."

Hope this helps!

7 0
3 years ago
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