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LuckyWell [14K]
3 years ago
7

After the dimensions of an equilateral triangle are increased by a scale factor of 2.5, the perimeter is 45 units. What were the

side lengths of the original triangle?
Mathematics
1 answer:
Otrada [13]3 years ago
4 0

Answer:

Original side of triangle = 6 units

Step-by-step explanation:

Given:

Perimeter = 45 units

Scale factor = 2.5 (Increase)

Find:

Original side of triangle = ?

Computation:

Original Perimeter = Perimeter / Scale factor

Original Perimeter = 45 units / 2.5

Original Perimeter = 18 units

Perimeter of an equilateral triangle = 3 (Side)

18 units = 3 (Side)

Side = 6 units

Original side of triangle = 6 units

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Which is larger, 7/10 or 3/4?
DIA [1.3K]
3/4 is larger than 7/10.
3 0
3 years ago
Read 2 more answers
If four blue marbles and eight non-blue marbles make a probability of 0.33, how many non-blue marbles do you need to combine wit
den301095 [7]

The number of non-blue marbles you need to combine with the blue marbles to achieve a probability of 0.1 is 28.

<h3>How many non-blue marbles are needed?</h3>

Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

Probability of picking a blue marble = number of blue marble / total number of marbles

4 / (4 + 8)

4/12 = 0.33

The number of non-blue marbles needed = ( 4 / 0.1) - 12

40 - 12 = 28

To learn more about probability, please check: brainly.com/question/13234031

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5 0
2 years ago
Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.
Zigmanuir [339]
The mean is the average.
So, to find the mean you want o add up all of the numbers and then divide by the number of numbers.

49 + 49 + 54 + 55 + 52 + 49 + 575 = 363
363 / 7 = 51.85
Rounded to 52

For the median you want o line all of your number up from least to greatest and then find the middle number.

49,49,49,52,54,55,55

Your median is 52

The mode is the number that is listed most often

49 is listed 3 times
54 is listed 1 time
52 is listed 1 time
55 is listed 2 times

So, your mode is 49




4 0
3 years ago
Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that
kherson [118]

Answer:

The answer is

f(x) = {\displaystyle  8 + \frac{-28}{1}(x+2)+\frac{-36}{2!}(x+2)^2 + \frac{-18}{3!}(x+2)^2 }

Step-by-step explanation:

Remember that Taylor says that

f(x) = {\displaystyle \sum\limits_{k=0}^{\infty} \frac{f^{(k)}(a) }{k!}(x-a)^k }

For this case

f^{(0)} (-2) = 8(-2)-3(-2)^3 = 8\\f^{(1)} (-2) = 8-3(3)(-2)^2 = -28\\f^{(2)} (-2) = -3(3)2(-2) = -36\\f^{(2)} (-2) = -3(3)2 = -18

f(x) = {\displaystyle  8 + \frac{-28}{1}(x+2)+\frac{-36}{2!}(x+2)^2 + \frac{-18}{3!}(x+2)^2 }

5 0
3 years ago
A rectangle has a length of 6 cm and a width of 3 cm. Each side is doubled in length. What is the ratio of the areas of the two
jeka57 [31]
The ratio of original to new is 1:4
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3 years ago
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