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Anastasy [175]
4 years ago
9

Find the area of a regular hexagon with a base of 15 and an apothem of 20.

Mathematics
1 answer:
seraphim [82]4 years ago
7 0
Area of hexagon = base * (apothem/2) * 6 = 3(base*apothem)
=3*15*20
=900 square units.

However, a hexagon consists of 6 equilateral triangles in which the apothem is 0.866 times the base, meaning that the apothem is shorter than the base.
Perhaps the base is 20 and apothem 15.  The answer will come to be the same though.
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Find the 20th term of the arithmetic sequence 15, 9, 3, -3, ...
RUDIKE [14]

The 20th term is -106

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4 0
3 years ago
Find the area of the shaded region
valentina_108 [34]

Answer:

99 ft^2

Step-by-step explanation:

In order to find the area, you have to take the area of the rectangle and subtract it with the area of the triangle

Equation for area of a rectangle: w x L

L = 12ft

w = 10ft

12 x 10 = 120ft^2

Equation for area of a triangle: 1/2(h x b)

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b = 6ft

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5 0
3 years ago
Find the component of a velocity vector of an airplane that is traveling 150 mph at 45° below horizontal.
Fittoniya [83]

Answer:

none of the above

Step-by-step explanation:

All of the answer choices agree that the magnitude of the components is 150/√2 ≈ 106.1. The units of these components should be "mph", the same as the units of the magnitude of the given vector.

We only know the angle with respect to horizontal. We don't know whether that angle is measured with respect to the positive x-axis or the negative x-axis. Both of those are horizontal, and there is nothing in the problem statement that restricts the airplane to be traveling in one direction or the other.

Possible answers are ...

<106.1 mph, -106.1 mph> . . . . . . "horizontal" is +x direction

<-106.1 mph, -106.1 mph> . . . . . "horizontal" is -x direction

(The units are not degrees (°).)

8 0
3 years ago
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