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quester [9]
3 years ago
12

Find m angle KLJAnswer choices:22.5 degrees75 degrees15 degrees73 degrees​

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0
B.) 22.5 degrees I think is the correct answer.
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Struggling lol. Any help would be appreciated!
Alekssandra [29.7K]

Answer:

Heptagon = 84 ft²

Octagon  = 186 yd²

Triangle = 48√3 m²

Step-by-step explanation:

\textsf{area of a regular polygon}=\dfrac12ap

where:

  • a = length of apothem
  • p = perimeter

<u>Heptagon</u>

a = 5.0 ft

p = 33.6 ft

⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²

<u>Octagon</u>

a = 7.5 yd

p = 8 x 6.2 = 49.6 yd

⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²

<u>Triangle</u>

Formula for the apothem of an equilateral triangle :

a=\dfrac{s}{2\sqrt{3}}  where s = side length

a = 4, so:

4=\dfrac{s}{2\sqrt{3}}

\implies 8\sqrt{3}=s

Now we know the side length, we can calculate the perimeter (p):

p = 3 x 8√3 = 24√3

⇒ area = 1/2 x 4 x 24√3 = 48√3 m²

8 0
2 years ago
Solve the equation on the<br> interval [0, 2π).<br> √2 cos x - 1 = 0
jek_recluse [69]

Answer:

Step-by-step explanation:

\sqrt{2} cos x-1=0\\cos x=\frac{1}{\sqrt{2} } =cos (\frac{\pi }{4} ),cos (2\pi -\frac{\pi }{4} )\\cos x=cos(2n\pi +\frac{\pi }{4} ),cos(2n\pi +\frac{7\pi }{4} )\\x=2n\pi +\frac{\pi }{4} ,2n\pi +\frac{7\pi }{4} \\n=0\\x=\frac{\pi }{4} ,\frac{7\pi }{4}

8 0
3 years ago
A triangular prism and its dimensions are shown in the
Black_prince [1.1K]
1444jsjzjdjdjdjsnskzkzmmsm
8 0
3 years ago
If the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola, find an equation for the parabola. Write
STALIN [3.7K]

Answer:

y=-1(x-2)^2+3

Step-by-step explanation:

W have been given that the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola. We are asked to find the equation of parabola in the form y=(x-h)^2+k.  

We know that vertex form of parabola in form y=a(x-h)^2+k, where (h,k) in vertex of parabola.  

Upon substituting coordinates of vertex, we will get:

y=a(x-2)^2+3

To find the value of a, we will substitute coordinates of point (0, -1) as:

-1=a(0-2)^2+3

-1=a(4)+3

-1=4a+3

-1-3=4a+3-3

-4=4a

\frac{-4}{4}=\frac{4a}{4}

-1=a

Therefore, our required equation would be y=-1(x-2)^2+3.

3 0
3 years ago
The diameter of the moon is 2160 miles. A model has a scale of 1in : 150mi. What is the diameter of the model?
finlep [7]
So you would take 2160/150 because you need the Circumference

This will give you 14.4 and you will need to device that by pie to find Diameter

Answer: 14.4

Sorry no need for Pie in this equation I just realized it was a scale. 

Sorry about that!

6 0
3 years ago
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