Answer:
15mm
Step-by-step explanation:
we are looking for extension
To get Extension you need the original length and the strain both of which you are given
initial length L = 1.00m
the area A = 0.5mm² = 0.5 mm² = 0.5 x 10⁻⁶ m² ( we are changing to metres squared)
E = 2.0 x 10¹¹ n/m², Young's modulus
P = 1500N, the applied tension
Now to Calculate the stress.
σ = P/A (force/area) = (1500 N)/(0.5 x 10⁻⁶ m²) = 3 x 10⁹ N/m²
Also, Let β = the stretch of the string.
Then the strain is
ε = β/L (extension/ original length)
By definition, the strain is ε = σ/E = (3 x 10⁹ N/m²)/(2 x 10¹¹ N/m²) = 0.015
Therefore β/(1 m) = 0.015β = 0.015 m = 15 mm
Answer: 15 mm
I think it’s 16 remainder 1
Andre can complete 1.5 facts in one second.
Step-by-step explanation:
Given,
Number of multiplication facts completed in 90 seconds = 135
Therefore;
90 seconds = 135 facts
Dividing both sides by 90 to fins the facts per second
Andre can complete 1.5 facts in one second.
Keywords: unit rate, division
Learn more about unit rates at:
#LearnwithBrainly
X=25 degrees
2x+3x+x+30 = 180
6x+30 = 180
180 - 30 = 150
6x = 150
150/6 = 25
X = 25
Considering the given stem-and-leaf plot, the quartiles are given as follows:
- The first quartile is of 67.5.
- The second quartile, which is the median, is of 84.5.
- The third quartile is of 91.5.
<h3>What are the median and the quartiles of a data-set?</h3>
- The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
- The first quartile is the median of the first half of the data-set.
- The third quartile is the median of the second half of the data-set.
There is an even number of elements(26), hence the median is the mean of the 13th and 14th elements, which are 83 and 86, hence:
Me = (83 + 86)/2 = 84.5.
The first half has 12 elements, hence the first quartile is the mean of the 6th and 7th elements, which are 67 and 68, hence:
Q1 = (67 + 68)/2 = 67.5.
The third half also has 12 elements, starting at the second 86, hence the third quartile is the mean of the 6th and 7th elements of this half, hence:
Q3 = (91 + 92)/2 = 91.5.
More can be learned about the quartiles of a data-set at brainly.com/question/28017610
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