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Sholpan [36]
3 years ago
15

A regular hexagon is dilated by a scale factor of 75 to create a new hexagon. How does the perimeter of the new hexagon compare

with the original perimeter?
Mathematics
2 answers:
Harrizon [31]3 years ago
4 0
<span>Let the measure of each side of the hexagon be x units. Therefore the perimeter of the original hexagon = 6x units -----(1) Now, the new hexagon is created by a scale factor of 75. We multiply each side of the hexagon with the scale factor 75. Therefore, the measure of each side of the new hexagon is 75x. The perimeter of the new hexagon = 6 * 75x -----(2) Divide equation (2) by equation (1) 6 * 75x/6x =75 Therefore, when a regular hexagon is dilated by a scale factor, the perimeter of the hexagon is also dilated by the same scale factor.</span>
mezya [45]3 years ago
3 0
Let the length of the original hexagon be x:
the perimeter of the hexagon will be:
P=length*number of sides
P=6*x=6x
After the dilation the new length became:
length=scale factor × original length
=75 × x
=75x
thus the new perimeter will be:
6×75x
=450x
hence the new perimeter compared to the old one will be:
450x/6x
=75
the new perimeter is 75 times the old one
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An algebraic expression that represent how much Mr. Green paid in all is 3(m + 1) + d

<h3 /><h3>Pet fish</h3>

The following represents the items bought

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The expression that represents the items in a bag is:

Bag=m + 1\\

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So, the total spent on pet fish is:

Total =3(m + 1)

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2 years ago
University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some studen
ira [324]

Answer:

A. 0.1

B. 0.8

C. 0.5

Step-by-step explanation:

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P(Science) = 0.3

P(Arts) = 0.6

P(none) = 0.2

From the above, it is understood that the events are independently events; meaning that the probability that a students gets a Bachelor of Science degree does not affect the probability of the same student getting a Bachelor of Arts degree.

A. The probability that a student gets a Bachelor of Science and Bachelor of Arts degree

Let P(Arts and Science) = the probability that a student gets a Bachelor of Arts degree and Bachelor of Science degree

For independent events,

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If we translate the above formula to suit our needs, we have something like this

P(Science) + P(Arts) - P(Arts and Science) + P(none) = 1

Or

P(Arts) + P(Science) - P(Arts and Science) + P(none) = 1

From this, we have

0.3 + 0.6 - P(Arts and Science) + 0.2 = 1

1.1 - P(Arts and Science) = 1

-P(Arts and Science) = 1 - 1.1

-P(Arts and Science) = -0.1

P(Arts and Science) = 0.1

B. The probability that a student gets a Bachelor of Science or Bachelor of Arts degree

For independent events

P(A or B) = P(A) + P(B) - P(A and B)

So, P(Arts or Science) = P(Arts) + P(Science) - P(Arts and Science)

P(Arts or Science) = 0.3 + 0.6 - 0.1

P(Arts or Science) = 0.8

C. The probability that a student gets only Bachelor of Arts

P(A only) = P(A) - P(A and B)

P(Arts) = P(Arts) - P(Arts and Science)

P(Arts) = 0.6 - 0.1

P(Arts) = 0.5

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