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Trigonometry-basics/752023: For a standard-position angle determined by the point(3, -4), what are the values of the six trigonometric functions? 1 solutions
Answer 457512 by solver91311(17077) on 2013-05-23 17:30:33 (Show Source):
You can put this solution on YOUR website!
For a point at (3,-4), the distance from the origin is 5 (because 3, 4, 5 is a Pythagorean Triple). The distance from the origin is the hypotenuse of your right triangle, so the sine is -4/5, the cosine is 3/5, the tangent is the sine divided by the cosine, the cotangent is the reciprocal of the tangent, the secant is the reciprocal of the cosine, and the cosecant is the reciprocal of the sine.
John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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Probability-and-statistics/751660: 4. A crowd contains 1000 people. 480 males and 520 females. Find the likelihood someone chosen at random is Female.
5. Using the information from #4, find the probability that two people chosen at random without replacement are both females.
6. Using the information from #4, four people are chosen with replacement. Find the probability that they are chosen by gender EXACTLY in order as FFMM.
7. Using the information from #4, find the probability that two people are chosen without replacement that have the same gender.
1 solutions
Answer 457341 by solver91311(17077) on 2013-05-22 17:08:44 (Show Source):
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Matrices-and-determiminant/751636: Calculate the area of the triangle with the following vertices:
5. (0,-9), (3,-9), and (0,-2)
6. (-8, -2), (-1, -11), and (-1, -2)
7. (-5, 1), (2, 9), and (-5, 9)
1 solutions
Answer 457339 by solver91311(17077) on 2013-05-22 17:03:42 (Show Source):
You can put this solution on YOUR website!
In each case, you have two equal x coordinates and two equal y coordinates, therefore, two of the sides are perpendicular.
In each case, plot the points, draw your triangle, determine the length of the two perpendicular legs, multiply and then divide by 2, just like finding the area of any other right triangle.
Since the perpendicular legs are parallel to the axes, determining the length is a simple matter of subtracting coordinates and then taking the absolute value. For example, the measure of the segment that joins (0, -9) and (3, -9) is |0 - 3| = 3.
You can figure the rest for yourself. By the way, please read the instruction that says "One question per post." Then re-read it. Repeat until understanding is complete. Thank you.
John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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Probability-and-statistics/751654: Two cards are chosen at random without replacement from a deck of 52 cards containing 4 kings. Which expression could be used to find the probability of choosing two kings? 1 solutions
Answer 457335 by solver91311(17077) on 2013-05-22 16:50:06 (Show Source):
You can put this solution on YOUR website!
For the first card drawn, there are 4 ways out of 52 to get a king, or 1/13. Then, given that a king was drawn on the first draw, you have 3 kings left in the deck, but the deck now only has 51 cards, so 3/51 = 1/17, and these are independent events, so the product of the two probabilities. I can't tell you "which" expression because YOU were too lazy to share the choices with us -- you will have to calculate which of your choices is equivalent to 1/13 times 1/17
John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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Word_Problems_With_Coins/751645: What are all the possible combinations of coins( using pennies, nickels, dimes and quarters) that equal 43 cents. 1 solutions
Answer 457320 by solver91311(17077) on 2013-05-22 16:25:03 (Show Source):
You can put this solution on YOUR website!
The only way to solve this is to find a logical way to list them.
Two quarters is 50 cents, so it is only possible to have either one quarter or zero quarters.
Start with 1 quarter. That leaves you with 18 cents to make up. So, given that you have 1 quarter, the most dimes you can have is 1, leaving you 8 cents to make up, so you can have, at most, 1 nickel, and then 3 pennies.
Now take away the nickel and add 5 pennies, so 1 Q, 1 D, 0 N, 8 P.
Take away the dime, so:
1 Q, 0 D, 3 N, 3 P, or
1 Q, 0 D, 2 N, 8 P, or
1 Q, 0 D, 1 N, 13 P, or
1 Q, 0 D, 0 N, 18 P
Take away the quarter, and now you can have up to 4 dimes:
0 Q, 4 D, 0 N, 3 P
And so on until you get down to 0 Q, 0 D, 0 N, 43 P. You can follow the pattern and then count the possibilities for yourself.
John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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Surface-area/749269: One cylinder with a diameter of 1 foot and a height of 2.75ft. Solve for total surface area.
I estimated to be 15.75ft. but i'm sure it's wrong. 1 solutions
Answer 455891 by solver91311(17077) on 2013-05-15 21:08:07 (Show Source):
You can put this solution on YOUR website!
Whether or not the number is correct, the answer you gave is indeed wrong because area is measured in square feet. Secondly, the total area is the area of the two bases plus the circumference of one of the bases times the height. If the diameter of the base is 1, then the radius is 1/2 and the area of one base is ( remember, you will need two of these), then the circumference of the base is 1 times , so the area of the side surface is 2.75 times . Add up the three pieces and leave the answer in terms of unless your instructor gave you a specific value to use for , in which case use that value for but since the least precise measurment given is the diameter of the base and that precision is to the nearest whole foot, you need to round your answer to the nearest whole square foot.
John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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