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mrs_skeptik [129]
3 years ago
6

Help me ans should be well explained ​

Mathematics
2 answers:
seraphim [82]3 years ago
6 0
<h3>Length (L) of Rectangle = 40 m </h3><h3>Breadth (B) of Rectangle = 30m</h3><h3 /><h3>Perimeter of Rectangle:-</h3>

=<em> 2(Length + Breadth)</em>

<em>=</em><em> </em><em>2</em><em>(</em><em>40</em><em> </em><em>+</em><em> </em><em>30</em><em>)</em>

<em>=</em><em> </em><em>2</em><em>(</em><em>70</em><em>)</em>

<em>=</em><em> </em><em>1</em><em>4</em><em>0</em><em>m</em>

<h3>Area of Rectangle:-</h3>

<em>=</em><em> </em><em>L</em><em>e</em><em>n</em><em>g</em><em>t</em><em>h</em><em> </em><em>×</em><em> </em><em>B</em><em>r</em><em>e</em><em>a</em><em>d</em><em>t</em><em>h</em>

<em>=</em><em> </em><em>40</em><em> </em><em>×</em><em> </em><em>30</em>

<em>=</em><em> </em><em>1200</em><em>m</em><em>^</em><em>2</em>

<em>Therefore, </em><em>T</em><em>h</em><em>e</em><em> </em><em>p</em><em>e</em><em>r</em><em>i</em><em>m</em><em>e</em><em>t</em><em>e</em><em>r</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>r</em><em>e</em><em>c</em><em>t</em><em>a</em><em>n</em><em>g</em><em>l</em><em>e</em><em> </em><em>i</em><em>s</em><em> </em><em>140</em><em>m</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>a</em><em>r</em><em>e</em><em>a</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>r</em><em>e</em><em>c</em><em>t</em><em>a</em><em>n</em><em>g</em><em>l</em><em>e</em><em> </em><em>i</em><em>s</em><em> </em><em>1200</em><em>m</em><em>^</em><em>2</em><em>.</em>

rusak2 [61]3 years ago
4 0

  • Length=L=40m
  • Breadth=B=30m

Perimeter:-

\\ \sf\longmapsto 2(L+B)

\\ \sf\longmapsto 2(40+30)

\\ \sf\longmapsto 2(70)

\\ \sf\longmapsto 140m

Area

\\ \sf\longmapsto LB

\\ \sf\longmapsto 40(30)

\\ \sf\longmapsto 1200m^2

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An angle is drawn in standard position passing through the unit circle at (0.643,0.766). The angle in standard position θ has a
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<h2>Hello!</h2>

The asnwer is: Cos50° ≈ 0.643

<h2>Why?</h2>

A unit circle is a cirgle with a radius equal of 1, knowing that,  also know the following:

The angle is drawn passing trough the unit circle at (0.643,0.766) it means that:

x=0.643\\y=0.766

So,

Cos50° ≈ 0.643

We can prove that by following the next steps:

- If it's a unit circle,here is a right triangle with hypotenuse of 1,

1^{2}=x^{2}+y^{2}

1^{2}=0.643^{2}+0.766^{2}

1^{2}=0.4134 +0.5867

1=1.0001=1

- We can determine the cosine of the angle by the following formula:

cos(\alpha)=\frac{x}{hypotenuse} \\cos(\alpha)^{-1}=cos(\frac{0.643}{1})^{-1} \\\alpha=49.98

Therefore,

Cos(α)=49.98°≈50°

Also, if there is a right triangle, according to the Pythagorean Thorem:

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Have a nice day!

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There would be 5184 ways in which each subject books can be selected.

<u>Explanation:</u>

Number of geography books = 5

Number of chemistry books = 4

Number of Science books = 7

Different ways of selecting geography books = 5!

                                                                            = 5 X 4 X 3 X 2 X 1

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Different ways of selecting chemistry books = 4!

                                                                          = 4 X 3 X 2 X 1

                                                                          = 24

Different ways of selecting Science books = 7!

                                                                       = 7 X 6 X 5 X 4 X 3 X 2 X 1

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Total different possible ways they can select them = 120 + 24 + 5040

                                                                                     = 5184

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Step-by-step explanation:

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