Multiply or divide the starting elements of a division problem (Divided and Divisor) by the same number, the quotient doesn't change. In other words, the answer is the same, and the remainder is multiplied or divided by that same number.
Answer:
volume = wide x length x deep
= 3{1/3} ft x 2{1/2} ft x 3{3/4}ft
= 10/3ft x 5/2ft x 15/4ft
= (10 x 5 x 15)/(3 x 2 x 4) ft^3
= 125/4 ft^3
= 31{1/4} ft^3
Step-by-step explanation:
Answer:
(x + 5) /2
Step-by-step explanation:
"a number" (this will represent as "x")
"increased" another way to say add or "+"
then divided by 2
If you wrote it out like this "x+5/2"it would be wrong because of PEMDAS making you want to divide first instead of after.
For this case we have the following functions:
We must find 
By definition of composition of functions we have to:
So:
We have different signs subtracted and the sign of the major is placed.
Finally we have to:
ANswer:
Answer:
cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(2π/15)
Step-by-step explanation:
We will make use of trig identities to solve this. Here are some common trig identities.
Cos (A + B) = cosAcosB – sinAsinB
Cos (A – B) = cosAcosB + sinAsinB
Sin (A + B) = sinAcosB + sinBcosA
Sin (A – B) = sinAcosB – sinBcosA
Given cos(π/3)cos(π/5) + sin(π/3)sin(π/5) if we let A = π/3 and B = π/5, it reduces to
cosAcosB + sinAsinB and we know that
cosAcosB + sinAsinB = cos(A – B). Therefore,
cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(π/3 – π/5) = cos(2π/15)
