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nignag [31]
3 years ago
7

A side of one polygon is 18 meters and the corresponding side of a second similar polygon is 24 meters. If the perimeter of the

first polygon is 16 meters and it's area is 1000 square meters find the perimeter and area of the similar polygon
Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0
The perimeter of a polygon is proportional to its side so:
18 : 16
24 : p
p = 21.3 meters

Area is proportional to the square of the side of a polygon so:
18² : 1000
24² : x
x = 1,777.8 square meters

Note: The value of the perimeter should not be less than the  length of one side. The data may be incorrect. Regardless, the method will be the same.
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A child has 4 wooden blocks. How many different ways can she stack 3 of them into a tower?
faltersainse [42]

Answer:

Step-by-step explanation:

To find the number of different ways she can stack 3 of them in a tower, we need to use the formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

n = 4

k = 3

_{n}P_{k}=\dfrac{4!}{(4-3)!}

_{n}P_{k}=\dfrac{4!}{1!}

_{n}P_{k}=\dfrac{4*3*2*1!}{(1)!}

_{n}P_{k}=\dfrac{4*3*2*1!}{1}

_{n}P_{k}=\dfrac{24}{1}

7 0
3 years ago
Which ordered pair (x, y) satisfies the system of equations? 1/2 x − 1/4 y = 10 1/8 x − 1/8 y = 19
zlopas [31]

Answer:

-36,-192

Step-by-step explanation:

5 0
3 years ago
Light shines through window what is the area of a trapezoid shaped region created by the light
bogdanovich [222]

Answer:

16 ft²

Step-by-step explanation:

The complete question is attached.

A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.

The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.

Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:

The area of a trapezoid = [(3 + 5)/2] * 4

The area of a trapezoid = 16 ft²

5 0
3 years ago
-2(x + 2) = -2x ++ 5x -1
earnstyle [38]

Answer:

-⅗ = x

Step-by-step explanation:

Here is what you get when you distribute the -2 on the left side of the equivalence symbol and combine like-terms on the right side of the equivalence symbol:

-2x - 4 = 3x - 1

Here is the solution:

-2x - 4 = 3x - 1

-3x -3x

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

-5x - 4 = -1

4 +4

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

-5x = 3

----- -----

-5 -5

x = -⅗

I am joyous to assist you anytime.

8 0
4 years ago
Does the equation 6x + 35 = -6x - 35 have no, one, or infinite solutions?
fenix001 [56]

Answer:

The equation has one solution.

Step-by-step explanation:

6x + 35 = -6x - 35

subtract 6x from both sides of the equation

35 = -35 - 12x

add 35 to both sides of the equation

70 = -12x

divide -12x on both sides of the equation

x = 5.833333333

6 0
3 years ago
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