Answer:2/4 √x (2 over 4 square root x)
Step-by-step explanation:
Using the formula y=mx+b, you can simplify the equation to y=-4.5x+28 which means that the slope (m) equals -4.5 and the y-intercept (b) equals 28.
Answer:
1.2 liters
Step-by-step explanation:
1 bucket has a volume of 80 cL.
15 buckets have a volume of 15 * 80 cL = 120 cL
1 L = 100 cL
120 cL * (1 L)/(100 cL) = 1.2 L
ANSWER:
$9.0.
Each person will owe $9.0.
STEP-BY-STEP SOLUTION:
Total amount of people:
= 3
Total bill:
= $31.84
Discount off total bill:
= 15%
Total bill after discount:
= 31.84 × ( 100% - 15% )
= 31.84 × 85%
= 27.064
Total bill after discount split evenly / Amount each person will owe:
= 27.064 ÷ 3
= 9.0213 ( 3 repeater )
= $9.0 ( rounded to the nearest tenth )
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
