I really need help!!?

Question

I know this is a lot but I'e got three problems I can't figure out and it would be great if someone could help me!

1. 10, 000 chocopops are eaten every minute. How many will be eaten in the year 2001? (Give your answer in scientific notation)

2. Solve algebraically the equation tan40=2sinx+1 (I don't know how to do it with tan AND sin in there)

3. The electrical resistance, R of copper wire varies directly as its length, L metres, and inversely as the square of its diameter, d millimetres.
Two lengths of copper wire, A and B have the same resistance.
Wire A has a diameter of 2 millimetres and a length of 3 metres.
Wire B has a diameter of 3 millimetres.
What is the length of wire B?

Answer 1

Hi,

1. 10, 000 chocopops are eaten every minute. How many will be eaten in the year 2001? (Give your answer in scientific notation)

10,000 chocopops x 60 minutes/hour x 24hours/day x 365 days/year = 5.256*10^9

2. Solve algebraically the equation tan40=2sinx+1 (I don't know how to do it with tan AND sin in there)

I assume you are in degrees for this.

tan ( 40 degrees) = .8391, so .8391 = 2sin(x) + 1
-.1609 = 2 sin(x)
-.08045 = sin(x)
sin^-1(-.08045) = -4.614 degrees or 355.4 degrees in quadrant IV It could also be 184.6 degrees in quadrant III


3. The electrical resistance, R of copper wire varies directly as its length, L metres, and inversely as the square of its diameter, d millimetres.
Two lengths of copper wire, A and B have the same resistance.
Wire A has a diameter of 2 millimetres and a length of 3 metres.
Wire B has a diameter of 3 millimetres.
What is the length of wire B?

R = kL/D^2

For A, R = kL/D^2 becomes R = k*3/2^2 and for B, it becomes R = k*L/3^2. Since they have the same resistance, then k*3/2^2 = k*L/3^2. Simplifying, this becomes:
3/4 = L/9 Multiplying by 9, 27/4 = L, so wire B has a length of 6 3/4 metres.

I hope that helps!! :-)

Answer 2

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Answer 3

i think tan 40=2sinx+1
tan40-1=2sinx
tan 40-1 / 2sin=x

Answer 4

the 2nd one is very easy find the value of tan40, then minus 1 from it then u will divide by 2 and find the x. and x will be equal to -4.614

Answer 5

1. if one year have 365 days and 1 day has 1340 minutes.. it could be = 10000*1340*365 = 4,891,000,000 chocopops

Answer 6

-1+tan 40
______ =sin x
2


L
R= _______
2
D

Answer 7

that's hard