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Feliz [49]
3 years ago
10

Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

value of a = 6.93 m

hence , (b.)

Step-by-step explanation:

the given triangle is a right angled triangle, so

by using trigonometry.

=》

\tan(a)   = \tan(30)  =  \frac{1}{ \sqrt{3} }

and we know,

=》

\tan(a)  =  \frac{a}{b}

so, by above values of tan ( a ) we get,

=》

\frac{a}{b}  =  \frac{1}{ \sqrt{3} }

=》

\frac{a}{12}  =  \frac{1}{ \sqrt{3} }

=》

a = \frac{12}{ \sqrt{3} }

=》

a = 4 \sqrt{3}

=

=》

a = 6.93

hence, a = 6.93 m

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Answer:

C) No, their slopes are not opposite reciprocals.

Step-by-step explanation:

First we find the slopes.

slope of PQ = (3 - 0)/(7 - 11) = 3/(-4) = -3/4

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Problem A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, a
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Answer:

25\pi\ m^2

Step-by-step explanation:

Given that:

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Area of each section of the circle, A = ?

Solution:

Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.

First of all, let us have a look at the formula for area of a circle with given radius r:

Area = \pi r^2

Here, r = 10 m

Putting the value in the above formula, we get:

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Area of each section of the circle:

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Answer:

<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u>4</u></em></h2>

Step-by-step explanation:

<h3><u>Given</u><u> </u><u>Equation</u><u>:</u></h3>
  • 3x + 9 = 2x + 5

<h3><u>Question</u><u>:</u></h3>
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<h3><u>Solution</u><u>:</u></h3>

=> 3x + 9 = 2x + 5

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=> 3x - 2x = 5 - 9

  • <em>(</em><em>On</em><em> </em><em>subtracting</em><em>)</em>

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<h3><u>Result</u><u>:</u></h3>

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