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3 years ago

To the nearest degree, what is the measure of each exterior angle of a regular octagon? O A. 45° O B. 30° O C. 51o O D. 60°

Mathematics

2 answers:

LekaFEV [45]3 years ago

7 0

Answer:

The measure of each exterior angle of a regular octagon is A. 45°

Step-by-step explanation:

To find the solution to the problem above, we will follow the steps below;

To find the exterior angle of a regular polygon we can simply divide 360 by the number of sides of that polygon or we can simply use the formula below

Each Exterior angle = 360/n

where n is the number of sides

an octagon is an eight-sided polygon. This implies that the number of side =8

Each Exterior angle = 360/n

=360/8

=45°

The measure of each exterior angle of a regular octagon is 45°

riadik2000 [5.3K]3 years ago

3 0

Because an octagon consists of eigth sides/edges, and 360 degrees is the total sum of the angles, we simply divide 360 by 8:

360/8 = 45.

Option A, 45 degrees

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6^8

Step-by-step explanation:

6^4 * 6^4

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3 years ago

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What is the height of a rectangle with an area of 105 and a base of 15

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Step-by-step explanation:

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3 years ago

Just answer no need to explain.

Bogdan [553]

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So, shifting x³ , 3 units to left will result in:

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Shifting down means subtracting the number from the function value.

So, shifting 2 units down will result in:

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3 years ago

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X = ? y = ? 16 45 degrees

mezya [45]

Let's put more details in the figure to better understand the problem:

Let's first recall the three main trigonometric functions:

$\text{ Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}$ $\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}$ $\text{ Tangent }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Adjacent Side}}$

For x, we will be using the Cosine Function:

$\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}$ $Cosine(45^{\circ})\text{ = }\frac{\text{ x}}{\text{ 1}6}$ $(16)Cosine(45^{\circ})\text{ = x}$ $(16)(\frac{1}{\sqrt[]{2}})\text{ = x}$ $\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}$ $\text{ 8}\sqrt[]{2}\text{ = x}$

Therefore, x = 8√2.

For y, we will be using the Sine Function.

$\text{ Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}$ $\text{ Sine }(45^{\circ})\text{ = }\frac{\text{ y}}{\text{ 1}6}$ $\text{ (16)Sine }(45^{\circ})\text{ = y}$ $\text{ (16)(}\frac{1}{\sqrt[]{2}})\text{ = y}$ $\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}$ $\text{ 8}\sqrt[]{2}\text{ = y}$

Therefore, y = 8√2.

5 0

1 year ago

60 is 30% of what number?

Phantasy [73]

Percent means parts out of 100
30%=30/100=3/10

'of' means multiply

60 is 30% of what translates to
60=3/10 times what
multiply both sides by 10/3
600/3=what
200=what
the number is 200

7 0

3 years ago