This is the concept of algebra, to solve the expression we proceed as follows;
cos 2x-cosx=0
cos 2x=cosx
but:
cos 2x+1=2(cos^2x)
thereore;
from:
cos 2x=cos x
adding 1 on both sides we get:
cos 2x+1=cos x+1
2(cos^2x)=cosx+1
suppose;
cos x=a
thus;
2a^2=a+1
a^2-1/2a-1/2=0
solving the above quadratic we get:
a=-0.5 and a=1
when a=-0.5
cosx=-0.5
x=120=2/3π
when x=1
cos x=1
x=0
the answer is:
x=0 or x=2/3π
Answer:
20
Step-by-step explanation:
A=20
The answer is 3 pens and 4 pencils. Hope this helps
step 1
convert pounds to ton
1 ton------> 2204.62 lb
<span>each crate weighs 80 pounds
so
by proportion
1/2204.62=x/80
x=80/2204.62-----> x=0.036 ton
each crate weighs 0.036 ton
step 2
divide 2 ton by 0.036
2/0.036=55.11 crate----------> 55 crate
the answer is
</span>the greatest number of crates that can be loaded onto the elevator is <span>55
alalternative method
</span>step 1
convert ton to pounds
1 ton------> 2204.62 lb
a freight elevator has a weight limit of 2 ton
2 *2204.62 -----> 4409.24 lb
step 2
each crate weighs 80 pounds
divide 4409.24 by 80
4409.24/80=55.11 crate----------> 55 crate
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