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Gre4nikov [31]
3 years ago
8

State if the three sides lengths form an acute, obtuse, or right triangle: 7 in, 11 in, 13 in a acute b obtuse c right

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
4 0

Answer:

The triangle with side lengths 7 in, 11 in, 13 in will be an acute angled triangle.

Step-by-step explanation:

If we assume that the triangle with height 7 inches and base 11 inches of a right triangle then its hypotenuse will have the length of

\sqrt{7^{2} + 11^{2}} = \sqrt{170} = 13.04 inches.

But the third side of the triangle is given to be 13 inches which is less than 13.04 inches i.e. 13 < 13.04.

Therefore, the triangle with side lengths 7 in, 11 in, 13 in will be an acute-angled triangle. (Answer)

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A history exam features five questions. Three of the questions are multiple-choice with four options each. The other two questio
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There are total 500 ways in which Caroline can answer the exam.

Step-by-step explanation:

Here, the total number of questions in the test  = 5

The total number of multiple choice questions = 3

The total number of True/False question = 2

Let the numbers of the given question be 1,2 ,3,4, and 5.

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Similarly,  number of options available to answer question 2 = 5 options

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= The total option available for  question ( 1 x 2 x 3 x 4 x 5)

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3 years ago
The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is .
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Answer:

(-21,-19)

\sqrt{849}

Standard form

Step-by-step explanation:

We are given the equation of circle

x^2+y^2+42x+38y-47=0

General equation of circle:

x^2+y^2+2gx+2fy+c=0

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Radius: \sqrt{g^2+f^2-c}

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Radius (r) =\sqrt{21^2+19^2+47}=\sqrt{849}

Standard form of circle:

(x+21)^2+(y+19)^2=849

The centre of circle at the point (-21,-19) and its radius is \sqrt{849}.

The general form of the equation of a circle that has the same radius as the above circle is standard form.

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Answer:

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Step-by-step explanation:

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