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Levart [38]
2 years ago
6

Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths o

f the sides.
Mathematics
1 answer:
Anton [14]2 years ago
8 0

Answer:

(I'll leave cm out to save space and time in the answer)

the perimeter is 500, there are 5 sides. so on average a side will be 100.

that's already the important key idea.

it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).

repeat this for the 1. and 5. side and we get:

80

90

100

110

120

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Answer:

Three times

Step-by-step explanation:

Given

Figures: Rectangular Prism and Rectangular Pyramid

Let the dimension of the prism be:

l = length

w = width

h = height

Amount of sand used is the volume (V1) and it is calculated using;

V_1 = l * w * h

V_1 = lw h

Since the pyramid has the same base area and height as the prism, the its dimension would be:

l = length

w = width

h = height

Amount of sand used is the volume (V2) and it is calculated using;

V_2 = \frac{1}{3}*(lwh)

So, we have:

V_1 = lw h

V_2 = \frac{1}{3}*(lwh)

Substitute lwh for V1 in the second equation

V_2 = \frac{1}{3}V_1

Multiply both sides by 3

3 * V_2 = \frac{1}{3}V_1 * 3

3 * V_2 = V_1

Reorder

V_1 = 3 * V_2

V_1 = 3 V_2

<em>Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid</em>

3 0
3 years ago
the gravitational attraction between two masses varies inversely as the square of the distance between them. if the attraction f
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Answer:

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Step-by-step explanation:

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At 12 feet apart, the attraction force is 33 1/3 pounds.

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Answer: D

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Answer:

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Step-by-step explanation:

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Then, multiplying both sides by 16 gives us:

x=16 * cos(46)

Hope this helps!

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3 years ago
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Jet001 [13]
At least we're both struggling with the same type of math ; -; 
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