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sineoko [7]
3 years ago
14

Explain why a regular polygon cannot have an interior angle that is 40°.

Mathematics
1 answer:
Minchanka [31]3 years ago
8 0

Answer:

Explained below.

Step-by-step explanation:

The formula for the interior angle of any regular polygon is given as;

Interior Angle = 180(n - 2)/n

Where n is number of sides

We are told the interior angle is 40°

Thus;

180(n - 2)/n = 40

Cross multiply to get;

180n - 360 = 40n

180n - 40n = 360

140n = 360

n = 360/140

n = 2.57

Number of sides of a regular polygon cannot be in decimal nor can it have less than 3 sides.

Thus, a shape with interior angle of 40 cannot be a polygon.

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Svetach [21]

Given :

Devin is buying 2 concert tickets. The concert tickets have a regular price of $40 each.

Devin has a coupon that gives a 5% discount off of the regular price of the tickets. He will then pay a 10% purchasing fee on the discounted price of the tickets.

To Find :

Devin's total cost of the two tickets after the discount and the fee.

Solution :

Discount on price, D = 40×0.05 = $2 .

Price of product after discount, P = $( 40 - 2 ) = $38 .

Now, total price after adding purchasing fee is :

T = P + (P×0.10)

T = 38 + (38×0.10)

T = 38 + 3.8

T = $41.8

Therefore, Devin's total cost of the two tickets after the discount and the fee is $41.8 .

Hence, this is the required solution.

5 0
3 years ago
What is 6300kg in grams
vaieri [72.5K]

Answer:

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4 0
3 years ago
What is the image point of (-1,1) after a translation left 2 units and<br> down 2 units?
AveGali [126]

Answer:

The new point is (-3,-1)

Step-by-step explanation:

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3 0
3 years ago
Find exact value of the expression:<br><br> tan -1 square root 3/3
adell [148]
Hello,

 if tan x=√3/3 then x=30°+k*180° k: integer

4 0
3 years ago
What is the surface area of the square pyramid? <br><br> The surface area is ____ yd2.
lana [24]

Base Surface Area = 22

=  4 yards^2

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Your Answer: 16.60 rounded to the nearest tenth.

7 0
3 years ago
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