Here's the solution,
The given triangle is a right angled triangle,
So, by Using Trigonometry :
=》

=》

=》

=》

hence, value of x = 6.5 units
The correct answer would be (3x-1)(2x+3)
Answer:
It's the first one. We notice that for every package there are 36/3 = 12 pencils. Therefore for 4 packages there will be 4*12 = 48 pencils.
Answer:
x = 4 sqrt(2)
Step-by-step explanation:
This is a right triangle so we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = 4/x
Multiply x to each side
x sin 45 = 4/x *x
x sin 45 = 4
Divide each side by sin 45
x sin 45 / sin 45 = 4 /sin 45
x = 4/ sin 45
We know sin 45 = sqrt(2)/2
x = 4/ sqrt(2) /2
x = 8/ sqrt(2)
We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)
x = 8/ sqrt(2) * sqrt(2)/sqrt(2)
x = 8 * sqrt(2) /2
x = 4 sqrt(2)