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Len [333]
3 years ago
7

In triangle $DEF,$ $\angle D = 30^\circ,$ $\angle F = 60^\circ,$ and $EF = 6.$ Find $DE + DF.$

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

22.39

Step-by-step explanation:

angle D + angle F + angle E = 180 (angle of triangle)

30 +60 + E = 180

E = 180 - 90

E = 90

so triangle DEF is right angled triangle

we know that,

sin 30 = EF /DF

OR, 1/2 = 6/ DF

OR, DF= 12

again,

cos 30 = De/DF

root3 /2 = DE /12

DE= 10.39

hence DF +DE

= 12 + 10.39

= 22. 39

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8 0
2 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>
3 0
3 years ago
Help plz who ever helps they are nice
slava [35]
Im mean I’d be down to help
4 0
3 years ago
Read 2 more answers
HELP<br><br> y = (3x)2 + 17 <br> when x = 2 function and solution
Bond [772]
Answer:
y= 29
step by step explanation:
y= 6 x 2 + 17
y= 12+17
y= 29
7 0
3 years ago
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