Answer:
a
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The equation looks like 4x=20
Divide each side by 4 to get x=5
Thus x+5
90° is equal to
or 1.5707 radians.
Step-by-step explanation:
Step 1:
If an angle is represented in degrees, it will be of the form x°.
If an angle is represented in radians, it will be of the form
radians.
To convert degrees to radians, we multiply the degree measure by
.
For the conversion of degrees to radians,
the degrees in radians = (given value in degrees)(
).
Step 2:
To convert
90°,

radians.
So 90° is equal to
or 1.5707 radians.
Answer:
Option D. 11√6/2
Step-by-step explanation:
We'll begin by calculating the side opposite to angle 60°.
This is illustrated below:
Angle θ = 60°
Opposite =?
Hypothenus = 11
Using the sine ratio, we can obtain the side opposite to angle 60° as follow:
Sine θ = Opposite/Hypothenus
Sine 60 = Opposite /11
Cross multiply
Opposite = 11 × Sine 60
Sine 60 = √3/2
Opposite = 11 × √3/2
Opposite = 11√3/2
Finally, we shall determine the value of x as follow:
Angle θ = 45°
Opposite = 11√3/2
Hypothenus = x
Using the sine ratio, we can obtain the value of x as shown below:
Sine θ = Opposite/Hypothenus
Sine 45° = 11√3/2 /x
Cross multiply
x × Sine 45° = 11√3/2
Sine 45° = 1/√2
x × 1/√2 = 11√3/2
x/√2 = 11√3/2
Multiply through by √2
x = √2 × 11√3/2
x = 11√6/2
First, you need to collect the like terms; 7x + (-20 - 90). Next simplify; 7x - 110
answer; 7x - 110