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Fudgin [204]
3 years ago
14

A triangle has two sides that measure 2.5 cm and 16.5 cm. Which could be the measure of the third side? A. 5.5 cm B. 12.5 cm C.

14 cm D. 17 cm
Mathematics
1 answer:
galina1969 [7]3 years ago
6 0
(2.5)^2 + (16.5)^2 = c^2
c = sqrt(2.5^2 + 16.5^2)
c = sqrt(278.5)
c = 16.69
Rounded up it would be 17, so the answer is D. 
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For the matrices below. Find all (real) eigenvalues. <br><br> A= [7 9]<br> [0 9]
Jet001 [13]

Answer:

The answer is "9 and 7".

Step-by-step explanation:

Given:

A=\left[\begin{array}{cc}7&9\\0&9\end{array}\right]

Using formula:

|A-\lambda \cdot I|= 0\\\\

\to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]-\lambda \left[\begin{array}{cc}1&0\\0&1\end{array}\right] |=0\\\\\\ \to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]- \left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right] |=0\\\\\\\to|\left[\begin{array}{cc}7-\lambda &9\\0&9-\lambda\end{array}\right]|=0\\\\\\\to|(7-\lambda)(9-\lambda)|=0\\\\\to (7-\lambda)(9-\lambda)=0\\\\\to 7-\lambda=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 9-\lambda=0\\\\

\to \lambda=7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda=9\\\\

8 0
4 years ago
Condense (cos92°)(cos133°)-(sin92°)(sin133°) into a singular trigonometric function expression, then find the exact value.
goldenfox [79]

Answer:

-1/√2  

Step-by-step explanation:

According to trigonometry identity

cos(A+B) = cosAcosB - sinA sinB

Given the expression

(cos92°)(cos133°)-(sin92°)(sin133°)

This can be expressed as cos(92+133) where A = 92, B = 133

(cos92°)(cos133°)-(sin92°)(sin133°)

= cos(92+133)

= cos225

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3 years ago
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The most appropriate statement is the interquartile range for the Wolverines, 30 is less than the IQR for the panthers, 40.

<h3>What is the correct statement?</h3>

The box plot is used to show the distribution of data. The box plot can be used to determine the range, interquartile range and median of the data set.

The range is the difference between the two ends of the whiskers.

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To learn more about box plots, please check: brainly.com/question/1523909

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