Answer:
cos(x-30)=1/2
Step-by-step explanation:
We use the following relationship to obtain cos(x)

From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4
To obtain the value of cos(x-30), lets remember the following expression:

Therefor, we can use that to obtain our desired function cos(x-30)
cos(x)*cos(30)+sin(x)*sin(30)

=2/4=1/2
Answer:
What is the value of x?
<em>x = 40 degrees.</em>
What is the measure of angle AFE?
<em>Angle AFE = 140 degrees</em>
What is the measure of angle BFD?
<em>Angle BFD = 140 degrees.</em>
Step-by-step explanation:
Angle AFC is 90 degrees.
To find angle x, we have to subtract angle BFC.
90 - 50 = 40 degrees.
Line BFE is 180 degrees.
To find angle AFE, we have to subtract angle x from 180 degrees.
We have solved x already.
180 - 40 = 140 degrees.
Angle BFD is just 90 degrees plus 50 degrees.
90 + 50 = 140 degrees.
Answer:
The area of the triangle enclosed by the three points
A(1,1), B(1,4) and C(-3,4) in this question will be given by
|Ax ( By − Cy)+ Bx(Cy−Ay)+ Cx(Ay− By) |/2
=|1(4-4)+1(4-1)+-3(1-4)|/2=10/5= 5 sq. units
Answer:
same amount at 2 months. he'd pay 140.
Step-by-step explanation:
35(month) +35(month) =70(joining fee). 70+70=140. that's two months at the first gym.
the second gym is also 140 for the two months because each month is $70. and 70+70=140
Answer:
3
Step-by-step explanation:
2+1=3