In triangle ABC,
AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 <span>=(24−x)/</span><span>√3
</span>
In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6
AD = AC - DC = 24- (24-x) = 6</span></span>
Answer:
v= 17
Step-by-step explanation:
Start with the given equation.
19v – 18 = 16 + 17v
Move -18 to the other side, and swap it's sign.
19v = 16 + 18 + 17v
Move 17v to the other side and swap it's sign.
19v - 17v = 16 + 18
Combine like terms.
2v = 34
Divide by 2v.
v = 17
Answer:
1440
Step-by-step explanation:
It’s 1440
Answer:
-1, 2
Step-by-step explanation:
Answer:
54.75 = 26 + x
Step-by-step explanation:
You can solve for x by subtracting 26 from both sides of the equation.
