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Hoochie [10]
3 years ago
7

Find the number of sides of a regular polygon if one interior angle is 60 degrees

Mathematics
2 answers:
Vikentia [17]3 years ago
8 0
The answer would be 3.

Hope this helps!
dlinn [17]3 years ago
5 0

Answer:

3 sides

Step-by-step explanation:

The sum of the exterior angles add up to 360°:

The exterior angles of this shape would be 180 - 60 = 120:

So the number of sides is 360 ÷ 120 = 3 sides

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For the graphed exponential equation, calculate the average rate of change from x = -3 to x = 0
Dimas [21]

The answer to the question is D.

3,2 was your first point and it dropped to -5,0.

3 0
3 years ago
David went to a concession stand and bought three pretzels and four sodas and paid a total of $17 for them. Shamel went to the s
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Answer:

Sooooooo

Step-by-step explanation:

8 0
3 years ago
Can someone help me with this question on Prodigy? ​
lions [1.4K]

Answer:

  8 +(3/8)√53 in² ≈ 10.73 in²

Step-by-step explanation:

Given the net of a triangular pyramid with some of the dimensions filled in, you want to find the total surface area.

<h3>Triangle base</h3>

The triangle bases identified by dashed lines will have a length equal to the hypotenuse of the right triangles with legs shown as solid lines. The legs of each of those right triangles are ...

  a = (3 in)/2 = 1.5 in

  b = 2 in . . . . . . shown as the altitude of the triangle

Then the hypotenuse is found using the Pythagorean theorem:

  c² = a² +b²

  c² = 1.5² +2² = 2.25 +4 = 6.25

  c = √6.25 = 2.5

The dashed lines are 2.5 inches long.

<h3>Triangle altitude</h3>

The altitude from the solid horizontal line to the vertex at the bottom of the figure can be found using the fact that all of the outside edge lengths of the net are the same length. That edge length is found as the length of the hypotenuse of the right triangles in the left- and right-sides of the upper portion of the net. Each of those has a leg that is (2.5 in)/2 = 1.25 in and a leg marked as 2 in.

  c² = a² +b²

  c² = 1.25² +2² = 1.5625 +4 = 5.5625

  c = (√89)/4 ≈ 2.358 . . . in

The unmarked altitude of the bottom triangle is then ...

  b² = c² -a²

  b² = 89/16 -1.5² = 53/16

  b = (√53)/4 ≈ 1.820 . . . in

<h3>Surface area</h3>

The surface area of the figure is the sum of the areas of the four triangles that make up the net. Each triangle has an area given by the formula ...

  A = 1/2bh

The left and right triangles have b=2.5, h=2, so they each have an area of ...

  A = 1/2(2.5)(2) = 2.5 . . . . in²

The center triangle has dimensions of b=3, h=2, so an area of ...

  A = 1/2(3)(2) = 3 . . . . in²

The bottom triangle has dimensions of b=3, h=(√53)/4, so an area of ...

  A = 1/2(3)(√53/4) = (3/8)√53 ≈ 2.730 . . . . in²

The total surface area is the sum of the areas of these triangles, so is ...

  A = 2.5 in² +2.5 in² +3 in² +2.73 in² = 10.73 in²

The surface area of the triangular pyramid is (64+3√53)/8 ≈ 10.73 in².

__

<em>Additional comment</em>

Often we work with pyramids that are rotationally symmetrical about a vertical line through the peak. This one is not. The altitude of the bottom triangle in the net is less than the altitude of the other triangles. This short face of the pyramid will tend to be more vertical than the other two lateral faces.

4 0
1 year ago
2x +1 &lt; 5 what would be the inequality for this ?
Juli2301 [7.4K]

Hey there!


2x + 1 < 5

SUBTRACT 1 to BOTH SIDES

2x + 1 - 1 < 5 - 1

SIMPLIFY IT!
2x < 5 - 1

2x < 4


DIVIDE 2 to BOTH SIDES

2x/2 < 4/2

SIMPLIFY IT!
x < 4/2

x < 2


Therefore, your answer is: x < 2

(The graph is down below)


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

8 0
2 years ago
Read 2 more answers
Which equation is related to this equation? b + 17 = 52
Neporo4naja [7]

It would be d because you would subtract 52 from 17 to get the answer then add the number you got to 17 to get 52.
7 0
3 years ago
Read 2 more answers
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