What is the area of the hexagon shown below

horrorfan [7]

I count five 'k's there, so that part of the expression is

k⁵ .

Two 'n's form the rest of it, so that part is n² .

The parts are multiplied, so the simplest form of the expression is

k⁵ n² .

5 0

3 years ago

Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the

Archy [21]

You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate. Rate is measured in something per unit of time, and "per" indicates division. So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve). So add the rates: 1/3 + 1/6 = 1/2. (1/3 is 2/6, and 2/6 + 1/6 = 3/6). Since their combined rate is 1/2 of a room in one hour, it takes them two hours to paint the room.

This answer makes sense: It takes Sally three hours by herself; with Steve's help, she's faster, but not THAT much faster, because he's pretty slow. You can often spot-check word problem answers like this by giving it a common sense once-over. If we came up with four hours, that would clearly be wrong: it should take her LONGER if she's getting help.

7 0

2 years ago

Read 2 more answers

Math Help Please explain the questions How long will it take for the balance of an account to double if the savings account earn

Scorpion4ik [409]

(See attached formula)
Years = log (total / principal) / n*log(1 + rate/n) where n = compounding periods per year
Years = log (total / principal) / n*log(1 + rate/n)
Rate of .75% = .0625 per month
We'll say we want total = 200 and principal = 100
Years = log (200 / 100) / 12*log(1 + rate/n)
Years = log (2) / 12 * log (1 + .0625/12)
Years = 0.3010299957 / 12 * 0.0022560803 
Years = 0.3010299957 / 0.0270729635 
Years = 11.1192110871 
I don't think that's right
The interest rate is REALLY low. (Less than 1%)
Rate = .75 and .0075 when in a formula
Years = log (2) / 12 * log (1 + .0075/12)
Years = log (2) / 12 * log( 1.000625)
Years = 0.3010299957 / 12 * 0.0002713493 
Years = 0.3010299957 / 0.0032561912 
Years = 92.4485010892
THAT seems a more likely answer with such a low interest rate.