Answer:
Step-by-step explanation:
i hope this helps
Answer:
cosC = 
Step-by-step explanation:
cosC = 
= 
=
Answer:
3/22
Step-by-step explanation:
There's a very neat trick for this kind of problem.
First, choose a letter to represent the number.
n = 0.1363636...
Observe that there is a 2-digit block that repeats ("36"), but that block does not repeat immediately to the right of the decimal point. Do two muliplications, one to put the decimal point in front of the repeating block, the other to put the decimal point after the block.
10n = 1.363636...
1000n = 136.363636...
Here comes the cool part: subtract the first equation from the second.
990 n = 135 See? The repeating decimal parts, all lined up as they are, subtract to zeros.
Finally, n = 135/990 = 15/110 = 3/22
Answer:
length = 6 feet
width = 4 feet
Step-by-step explanation:
To find the dimensions of the rectangle, you can set up a variable and an expression that will equal the perimeter of the figure. Given l = length, width is '8 feet less than twice the length' or w = 2l - 8.
The general formula for perimeter of a rectangle is:
2w + 2l = P, where w = width and l = length
Using the variable and expression from above and the perimeter of 20 feet:
2(2l - 8)+ 2l = 20
distribute: 4l - 16 + 2l = 20
combine like terms: 6l - 16 = 20
add 16 to both sides: 6l - 16 + 16 = 20 + 16 or 6l = 36
divide and solve for 'l': 6l/6 = 36/6, or l = 6 feet
solve for 'w': w = 2(6) - 8 or w = 12 - 8 = 4 feet
Whatever% of anything, is just (whatever/100) * anything.
there were a total of 560000 votes, now, off those some are valid and some are invalid.
we know 15% of that are invalid, that simply means that 85% are valid, since 85% + 15% is the whole thing, or 100%, if 15% are not good, the other 85% are the good ones.
how many are the valid ones anyway? well, 85% of 560000, which is just (85/100) * 560000.
we know that off those valid ones, the candidate got 75% of those, so how much is 75% of that?
well, (75/100) * [ (85/100) * 560000 ].
