Suppose you roll a die two times. what is the probability of rolling a 3 both times?
hmm ok, so the first step to solve this problem is to find the area of kimora's living room. the way to do this is:
so we have now figured out how many square feet of carpet we need. now to wrap this up and find the answer, just simply divide the "a" value by the total cost of the carpet like this:
and thats it, be sure to punch that like button and don't be afraid to ask me more questions. i'm here to !!
x = 4
note the exact value of tan60° =
since the triangle is right use the tangent ratio to find x
tan60° = =
multiply both sides by x
x × = 4
divide both sides by
x = = 4 × = 4
20 1/2 feet
18 inches is 1 1/2 feet. we can add up the lengths. remember that multiplication is used to simplify repeated addition.
rope needed = 2×(5 ft) +7×(1 1/2) ft
= 10 ft + 10 1/2 ft
= 20 1/2 ft
comment on the solution
there are many ways you can go at the solution of this. the one you choose may depend on the kind of aritmetic you're comfortable with.
since one of the dimensions is given in inches, and the result is required in feet, at some point you need to convert from inches to feet. it is useful to know that 12 inches equal 1 foot. that tells you that you can divide the number of inches by 12 to get the number of feet. (18 inches = 18/12 feet = 3/2 feet = 1 1/2 feet)
you can add the step lengths in inches (18 inches × 7 = 126 inches = 10 1/2 feet) or in feet (1 1/2 feet × 7 = 10 1/2 feet).
since one of the dimensions involves a fraction of a foot, at some point you have to deal with arithmetic involving fractions. here, we have assumed you know how to do that (this is college math, after all).
modern calculators are quite versatile in the sorts of expressions they can evaluate. for mine, it would be convenient to write it as
2×5+7×(18/12) . . would give 20 1/2
the google search box is also a very good calculator for a variety of problems. its use is shown below.