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Marina86 [1]
2 years ago
12

Each side of a square field is 50m long. A barricade is to be placed along the diagonal of the field. Find the length of the bar

ricade.
Mathematics
2 answers:
ANEK [815]2 years ago
5 0

Since there is a barricade placed along the diagonal sq field, let's focus on one side of the triangle.

A pythagoras theorem formula can be used for right angle triangle.

So now we let the barricade be X.

By Pythagoras Theorem,

X² = 50² + 50²

X = sq root (50² +50²)

= 70.711 m ( 5sf)

= 70.7 m ( 3sf)

Therefore, the length of barricade is 70.7 m

Troyanec [42]2 years ago
3 0

Answer:

70.71m

Step-by-step explanation:

In order to find the diagonal, we can use Pythagiras theorem by splitting the field in half and creating a right angled triangle.

A^2+B^2=C^2

50^2+50^2=C^2

5000=C^2

Square root 5000= 70.71m (2dp)

Hope this helped!

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To calculate this, the Hardy-Weinberg principle can be used:

p² + 2pq + q² = 1 and p + q = 1

where p and q are the frequencies of the alleles (p - dominant, q - recessive), and p², q² and 2pq are the frequencies of the genotypes.

a) Since 32 plants have rough seed (recessive genotype: q²) out of 100 plants in total, then 

q² = 32/100 = 0.32


b) q = √q² = √0.32 = 0.56


c) Since p + q = 1, then

p = 1 - q = 1 - 0.56 = 0.44


d) 19 plants with rough seeds (recessive genotype: q²) in a population of 100 means that q² = 19/100 = 0.19

We need to calculate p (the allele frequency for smooth seeds).
We can find q because we know q²:

q = √q² = √0.19 = 0.44

Since p + q = 1, then

p = 1 - q = 1 - 0.4 = 0.56

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2 years ago
Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it. T
torisob [31]

Answer: This is what Khan Academy said the answer was

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2 years ago
If 10a+10b=35, what is the average (arithmetic mean) of a and b?
worty [1.4K]

Answer:

1.75

Step-by-step explanation:

If a  and b are two numbers, then their arithmetic mean is

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Given:

10a+10b=35

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Now, divide it by 2:

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What is the error due to using linear interpolation to estimate the value of sinxsin⁡x at x = \pi/3? your answer should have at
Serhud [2]
<h3>Answer:</h3>
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  • using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>Step-by-step explanation:</h3>

The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.

If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...

... x -sin(x) @ x=π/3

... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812

You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.

___

If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...

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2 years ago
Which statement is true about a trend line? A regression line and a trend line are opposite terms. A regression line and trend l
kicyunya [14]

Answer:

A is incorrect!  <u>B. should be the correct answer</u>

Step-by-step explanation

After some research, i found that the correct answer is most likely <u><em>B.  a regression line and trend line are equivalent terms</em></u>

<em />

<em>A trendline and a regression can be the same. </em>

<em> A regression line is based upon the best fitting curve Y= a + bX Most often it’s a least-squares fit (where the squared distances from the points to the line (along the Y-axis) is minimized). </em>

<em> It can be quadratic or logistic or otherwise, but most often it is linear. </em>

<em> A trendline is often constructed by smoothing of the results, making it less peaked. (often by using a moving average); but can also come from ARIMA projections or curve fitting techniques (such as regression).</em>

<em />

Let me know if i helped you!

<em />

5 0
2 years ago
Read 2 more answers
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