Answer and work down below
Answer:
DC = 10.93 cm , AC = 9.8 cm
Step-by-step explanation:
From trigonometry;
⇒ Tan 60 = AB/BD
⇒AB = BD Tan 60 ( where BD = 4 cm )
⇒ AB = 6.93 cm
Also, AB=BC , therefore;
⇒ BC = 6.93 cm
⇒ Cos 60 = BD/AD
⇒ AD = BD/ Cos 60 = 4/Cos 60
⇒ AD = 8 cm
From Pythagoras theorem;
⇒
=
+
=
+ 
⇒ AC =
= 9.80 cm
⇒ DC = BD + BC = 4 + 6.93
⇒ DC = 10.93 cm
For the answer to the question above,
The expected value in percentage format is 0.2 x 15+0.4 x 20 + 0.3 x 30 + 0.1*35 = <u><em>23.5%</em></u>
The answer is <u><em>23.5%
</em></u>
I hope my answer helped you. Have a nice day ahead!
<u><em /></u>
Let's say the numbers are "a" and "b"
hmm say "a" is the smaller, and "b" the greater
so "b" is "4 more than 5 times" "a"
so... 5 times "a" is 5*a or 5a
4 more than "that", will be "that" + 4
or
5a + 4
so.. whatever "a" is, "b" is 5a+4
now, their sum is 22, as opposed to "zz" hehe
so

solve for "a", to see what the smaller one is
what's "b"? well, b = 5a + 4
Answer:
<h3><X = 63</h3>
Step-by-step explanation:
USing SOH CAH TOA
sin theta = opposite/hypotenuse
sin <X = WV/VX
sin <X = 8/9
<X = arcsin(8/9)
<X = arcsin(0.8889)
<X = 62.7 degrees
Hence the value of x is approximately 63degrees