Answer:
7:8
Step-by-step explanation:
There are 7 purple cylinders. There are 8 total cylinders (7 purple and 1 yellow). So the ratio is 7:8
The Area of a rectangle is Length times Width.
3 * (x+4) = 36
3x + 12 = 36
3x = 24
x = 8. So the length of the rectangle is 12
Answer:
D. Pythagorean
Step-by-step explanation:
Given the identity
cos²x - sin²x = 2 cos²x - 1.
To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.
Starting from the left hand side
cos²x - sin²x ... 1
According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:
x = rcostheta
y = rsintheta
Substituting into the Pythagoras firnuka we have
(rcostheta)²+(rsintheta)² = r²
r²cos²theta+r²sin²theta = r²
r²(cos²theta+sin²theta) = r²
(cos²theta+sin²theta) = 1
sin²theta = 1 - cos²theta
sin²x = 1-cos²x ... 2
Substituting equation 2 into 1 we have;
= cos²x-(1-cos²x)
= cos²x-1+cos²x
= 2cos²x-1 (RHS)
This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM
Once upon a time there was a guy named Jeff. he went to a new school where he moved. so he was all by himself with no friends at all.. so then he met this guy named Zac so it was 1+1=2. and they were bff so they lived happily ever after together being bffs
Answer:
-1/2
Step-by-step explanation:
2(x-4)=6x-6
2x-8=6x-6
2x-6x-8=-6
-4x-8=-6
-4x=-6+8
-4x=2
x=2/-4
simplify
x=-1/2
