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Svetradugi [14.3K]
3 years ago
11

Find the value of x.

Mathematics
2 answers:
OLEGan [10]3 years ago
7 0

Answer:

x=6.09cm

Step-by-step explanation:

Working out AB:

7.5²+4.9²

= √80.26

AB= 8.96cm

To work out x:

AB is the opposite, where BC is the adjacent. This means that we have to use TOA.

x=8.96/Tan(55.8)

x= 6.09cm

ipn [44]3 years ago
3 0

Answer:

6.1 cm

Step-by-step explanation:

Use the Pythagorean theorem for triangle ABD to find the hypotenuse.

7.5^2+4.9^2=c^2. After solving you get that the missing length is about 9 cm. The hypotenuse of ABD is also a leg for ABC so you can use a trigonometric function, tangent, to find x. Set up the equation for opposite and adjacent sides to angle measure 55.8. The equation is tan(55.8)=9/x. In order to isolate the variable you multiply both sides by x to get (x)tan(55.8)=9, then divide both sides by tan(55.8), this leaves you with x=9/tan(55.8). You can then plug this into the calculator to get x is approximately 6.1 cm.

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Step-by-step explanation:

5 0
3 years ago
The perimeter of a rectangular pool is 306m. If the length of the pool is 87m, what is its width?
s344n2d4d5 [400]

Answer: the width is 66

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4 0
3 years ago
8.35x - 1.5 = 71.98<br> (a) 8.6<br> (b) 8.8<br> (c) 9<br> (d) 10.3
prisoha [69]
<h3>  Hola! :D ¡te invito a recibir ayuda de un latinoamericano puto!</h3><h2><u> _____________________________________ </u></h2><h2>                        8.35x - 1.5 = 71.98</h2><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

                           <u>El -1,5 qlero pasaría al otro lado positivo</u>

<h3>                                     8.35x = 71.98 + 1.5</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

                              <u>Ahora, se suma 71.98 + 1.5 = 73,48</u>

<h3>                                         8.35x = 73,48</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

    <u>El 8.35 qlero que está multiplicando, pasa al otro lado pero dividiendo</u>

<h3>                                       x = 73,48 ÷ 8.35</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

                                                    <u>Dividimos</u>

<h3>                                               x = 8,8</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2><h2>                 <u>(b) 8,8</u>  es la opción correcta</h2>
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The fraction of girls out of the total is P = 8/20 = 2/5.
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