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miskamm [114]
3 years ago
15

Which is the BEST choice for the measure of this angle? A) 85° B) 95° C) 105° D) 115°

Mathematics
1 answer:
Over [174]3 years ago
7 0
B. 95° is the best choice for the angle measurement
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zhuklara [117]
We know that
Mean and median both try to measure the central tendency in a data set.The mean is commonly used, but sometimes the median is preferred.
Mode is the element which occurs the most times in the set

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3 years ago
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Find the measure of the indicated angle to the nearest degree​
omeli [17]

\boxed{\sf sin\Theta=\dfrac{P}{H}}

\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}

\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}

\\ \sf\longmapsto sin\Theta=0.5

  • Convert to p/q form

\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}

\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}

\\ \sf\longmapsto sin\Theta=sin30

\\ \sf\longmapsto \Theta\approx30°

4 0
3 years ago
The distance from House B to House D is 50 feet. The distance from House A to House C is 40 feet. What is the area of the
Naya [18.7K]

Answer:

200

Step-by-step explanation:

40*50=200

7 0
4 years ago
Evaluate the following limit:
Makovka662 [10]

If we evaluate the function at infinity, we can immediately see that:

        \large\displaystyle\text{$\begin{gathered}\sf \bf{\displaystyle L = \lim_{x \to \infty}{\frac{(x^2 + 1)^2 - 3x^2 + 3}{x^3 - 5}} = \frac{\infty}{\infty}} \end{gathered}$}

Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.

We can solve this limit in two ways.

<h3>Way 1:</h3>

By comparison of infinities:

We first expand the binomial squared, so we get

                         \large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{x^4 - x^2 + 4}{x^3 - 5}} = \infty \end{gathered}$}

Note that in the numerator we get x⁴ while in the denominator we get x³ as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.

<h3>Way 2</h3>

Dividing numerator and denominator by the term of highest degree:

                            \large\displaystyle\text{$\begin{gathered}\sf L  = \lim_{x \to \infty}\frac{x^{4}-x^{2} +4  }{x^{3}-5  }  \end{gathered}$}\\

                                \ \  = \lim_{x \to \infty\frac{\frac{x^{4}  }{x^{4} }-\frac{x^{2} }{x^{4}}+\frac{4}{x^{4} }    }{\frac{x^{3} }{x^{4}}-\frac{5}{x^{4}}   }  }

                                \large\displaystyle\text{$\begin{gathered}\sf \bf{=\lim_{x \to \infty}\frac{1-\frac{1}{x^{2} } +\frac{4}{x^{4} }  }{\frac{1}{x}-\frac{5}{x^{4} }  }  \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\frac{1}{0}=\infty } \end{gathered}$}

Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be ∞.

5 0
2 years ago
Which value is equivalent to the expression 2^3 + 3^4
Nana76 [90]

Answer:

89

Step-by-step explanation:

2^3=2*2*2=8

3^4=3*3*3*3=9*9=81

8+81=89

3 0
3 years ago
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