Yes, the angles are the same as the shape is smaller, but it will be a different size
Answer:
11
Step-by-step explanation:
Use corresponding angles.
Angle FBC is 180 - 147 which is 33.
This means x is 180 - 33 - Angle EBA.
EBA is 180 - 4x.
x = 180 - 33 - (180 - 4x)
x = 180 - 33 - 180 + 4x
-3x = 180 - 33 - 180
-3x = -33
3x = 33
x = 11
Please mark brainliest.
Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
We have to use the function A(t)= a(1 +/- r)^t
So A is going to be the answer- the area after 8 years. t is going to be 8, because t is time. a is 2400 because that's the starting value. Finally, we're going to turn 5.75% into it's decimal form of .0575. That's going to be r, and because the area is decreasing, we will subtract r from 1.
Our new function is:
A=2400(1-.0575)^8
Simplify a little bit.
A=2400(.9425)^8
Bring .9425 to to power of 8 and then multiply by 2400 because PEDMAS.
A=1494.38366866
The rounded answer is 1494 kilometers squared.
