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leva [86]
3 years ago
6

The diagram shows two congruent regular pentagons and part of a regular n-sided polygon A. Two sides of each of the regular pent

agons and two side of A meet at the pint P. Calculate the value of n.​

Mathematics
1 answer:
Troyanec [42]3 years ago
7 0

Answer:

n=10

Step-by-step explanation:

For a regular polygon with n sides, each interior angle, x, is given by

x=180\frac{n-2}{n}

This can be solved for n

n=\frac{360}{180-x}

For the pentagons

x(5)=180(3/5)=108 degrees.

The angles around P sum to 360, so

2(x(5))+x(A)=360

x(A)=360-2(108)=144.

Substitue in the equation for n.

n=360/(180-144)=10

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a*b*c*d=67184

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a=d-30

also bear in mind that b and c are in between

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Step-by-step explanation:

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37. Which of the following multiplication problems has a product that is less than
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Answer:

Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.

How many times does he have to perform the swift attack?

a)1 b)2 c)3 d)4

Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?

a)4 b)5 c)6 d)7

Step-by-step explanation:

This is a very easy question if you think the opposite.

1.- The opposite of multiplication is division. So with this knowledge, we can form any amount of problems we want we just need to combine the numbers with our product which is 2.352.

2.- So in the first place, let's make it easy. If we divide 2.352 in 2 then we are going to obtain. 1.176 as a product. Then we combine our product with our divisor and we can multiply them to find our initial product which was 2.352.

3.- In the second place we go more complicate, we divide 2.352 in 6 and we will obtain. .392 then we combine .392 with 6 to multiply them and we obtain back our initial objective. Can you see? it is the easiest thing to do.

4.- We then look for scenarios to put these two processes and we will find our problems.

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How many times does he have to perform the swift attack?

a)1 b)2 c)3 d)4

Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?

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7 0
2 years ago
The length and width of a book cover are 22.2 centimeters and 12 centimeters respectively. The actual length (and width) can be
expeople1 [14]

Part (a)

The length is supposed to be 22.2 cm, but it could be 0.3 cm less

So 22.2 - 0.3 = 21.9 cm is the smallest value for the length. This is the lower bound of the length.

The upper bound is 22.2 + 0.3 = 22.5 cm as it is the largest the length can get.

-------------

Use this for the width as well

The width is supposed to be 12 cm, but it could be as small as 12-0.3 = 11.7 cm and as large as 12+0.3 = 12.3 cm

-------------

<h3>Answers:</h3>
  • smallest length = 21.9 cm
  • largest length = 22.5 cm
  • smallest width = 11.7 cm
  • largest width = 12.3 cm

============================================

Part (b)

Use the smallest length and width to get the smallest possible area

smallest area = (smallest width)*(smallest length) = 11.7*21.9 = 256.23

-------------

Repeat the same idea but for the largest length and width to get the largest possible area

largest area = (largest width)*(largest length) = 12.3*22.5 = 276.75

-------------

<h3>Answers:</h3>
  • smallest area = 256.23 square cm
  • largest area = 276.75 square cm
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Answer:

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15/3=5=5/1

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