Answer:
It's the law of cosines
Step-by-step explanation:
law of cosines states that
so we know that a = 7, b = 4, and alpha would be 135 degrees, so just plugging it in gets us 49+16-2*7*4*(-0.707) = 65 + 39.59 = 104.59
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1 answer:
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Answer:
The <u>sample proportion</u>, denoted by ^p, is given by the formula ^p= , where x is the number of individuals with a specified characteristic in a sample of n individuals.
Step-by-step explanation:
Sample proportion is used to determine sample mean, sample standard error and test the hypotheses about the population.
<em>sample mean</em> can be stated as p and <em>sample standard error</em> can be found using the equation where
- n is the sample size
- p is the sample proportion
And if n×p×(1-p)≥10, then sample is assumed large enough to assume normal distribution and apply statistical test.
For a triangle:
Use Pythagorean theorem twice:
Thus:
And:
Use Pythagorean theorem twice:
Thus:
And:
9514 1404 393
Explanation:
1. The general form of a quadratic in standard form* is ...
An example is ...
The constant c is the y-intercept, so is the easiest bit of information to obtain in this form.
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2. The general form of a quadratic in vertex form can be written as ...
An example is ...
The ordered pair (h, k) is the vertex of the parabola, so is easy to obtain in this form. Arguably, it may be easier to identify the line of symmetry, x=h, since that requires looking at only one constant, instead of two.
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* In the UK, "standard form" is vertex form.