Answer:
B $13
Step-by-step explanation:
Julie has 16.73 That is approximately 17 dollars
She buys a purse that is 4.12. That is approximately 4 dollars
17 -4 = 13
She will have approximately 13 dollars left
Answer: 64 mph
We can see that after every hour, the car has traveled 64 miles. So the speed rate is 64 miles per hour.
Answer:
5.7 feet
Step-by-step explanation:
Total cloth area recquired to make a bag and a towel is 22.23 square feet
Given the area of the cloth recquired to make the bag is 5.13 square feet.
The area of cloth recquired to make the towel is = 22.23-5.13=17.1 square feet
given the height of the towel = 3 feet
let the length of the towel be x
We know that 
area=3x
therefore the length of the towel is 5.7 feet
Well 32 divided by 8 would be 4 so... 32 x 4 would be 128 so 128 times. If it’s not correct I’m really sorry.
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β
