Answer:
The algebraic expression for 
Step-by-step explanation:
Let θ = 
use the properties of inverse trigonometric functions 
In a right angled triangle, the cosine of an angle is
Use this expression 
to find what are the sides of the right triangle.
Next find what is the expression for the opposite side, for this use the Pythagorean theorem and the values above
We said that 
, so now we can use the definition of tangent 
and the right triangle that we defined to find the algebraic expression for
Answer:
X=-1
Step-by-step explanation:
3x-6=-9
3x=-9+6
3x=-3
x=-1
Answer:
Step-by-step explanation:
We can use Hypotenuse Theorem for this:
For triangle ABC,
AC²=CB²+BA²
9²=CB²+3²
Switch the sides
-CB²=3² -9²
-CB²= 9-81
-CB²= -72
the signs cut each other
CB²=72
the square changes sides
CB=√72
CB= 8.49 cm
Now triangle CBD
We have the length of CB but not the other two whereas we have the angle
It will be sin
As we know sin= O/H
Here O is CB whereas H is CD
Put the values
sin 50= 8.49/H
H= 8.49 ÷sin 50
Calculate
H=11.1 cm
As we know H is CD so CD is 11.1 cm
Hope it helps
Answer:
AB = 41 cm
Step-by-step explanation:
If B is the midpoint of AC, then B splits AC into 2 equal halves: AB & BC.
Therefore, AB = ½ of AC.
Given, AC = 82 cm.
So,
AB = ½ × AC
AB = 82/2
AB = 41 cm
_____
Hope it helps ⚜
