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# Recent problems solved by 'Alan3354'

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 Trigonometry-basics/577825: What's the ExactValue for cos 7π/3 ? Without using a calculator1 solutions Answer 370332 by Alan3354(30993)   on 2012-02-25 09:52:02 (Show Source): You can put this solution on YOUR website!What's the ExactValue for cos 7π/3 ? Without using a calculator ------ = cos(pi/3) = 1/2
 Trigonometry-basics/577644: What's the Exact Value for Sin 13π/12 degrees ? Without using a calculator1 solutions Answer 370329 by Alan3354(30993)   on 2012-02-25 09:42:16 (Show Source): You can put this solution on YOUR website!-------- -sin(15) =~ -0.258819 ------------ For the exact value: -sin(15) = -sin(30/2) = = =
 Linear_Algebra/577793: If 6a=2a+10, find the value of the following without solving for p. a) 8p b) 2p c) 2p squared d) p(p+4) 1 solutions Answer 370319 by Alan3354(30993)   on 2012-02-25 08:54:12 (Show Source): You can put this solution on YOUR website!If 6a=2a+10, find the value of the following without solving for p. a) 8p b) 2p c) 2p squared d) p(p+4) ----------- a = 2.5 p is not defined.
 Surface-area/577812: What is the surface area of a circle that has a diameter of 14 inches?1 solutions Answer 370318 by Alan3354(30993)   on 2012-02-25 08:52:56 (Show Source): You can put this solution on YOUR website!What is the surface area of a circle that has a diameter of 14 inches? ---------- r = 7
 Trigonometry-basics/577810: What's the Exact Value for cos 7π/3 ? Without using a calculator1 solutions Answer 370316 by Alan3354(30993)   on 2012-02-25 08:41:55 (Show Source): You can put this solution on YOUR website!What's the Exact Value for cos 7π/3 ? Without using a calculator -------- = cos(pi/3) = 1/2
 Surface-area/577809: i want to know about calculation of cylinder of 6 inch dia and 12 inch height,what will be the area cubic cm 1 solutions Answer 370315 by Alan3354(30993)   on 2012-02-25 08:36:05 (Show Source): You can put this solution on YOUR website!i want to know about calculation of cylinder of 6 inch dia and 12 inch height,what will be the area cubic cm --------- cc, cubic cms, is volume. cubic inches = cc =~ 5560 cc -------------- Lateral area = pi*d*h = 72*pi square inches = 72*pi*2.54*2.54 sq cms =~ 1459 sq cm
 Travel_Word_Problems/577789: andy's average driving speed for a 4-hour trip was 45 miles per hour. During the first 3 hours he drove 40 miles per hour. What was his average speed for the last hour of his trip?1 solutions Answer 370310 by Alan3354(30993)   on 2012-02-25 07:48:39 (Show Source): You can put this solution on YOUR website!andy's average driving speed for a 4-hour trip was 45 miles per hour. During the first 3 hours he drove 40 miles per hour. What was his average speed for the last hour of his trip? ----------------------- 4*45 = 180 miles total 3*40 = 120 miles in 3 hours That leaves 60 miles in 1 hour --> 60 mi/hr ============== Finding avg speeds is not as simple as other averages.
 Numbers_Word_Problems/577795: The sum of two numbers is 8 and the difference between their squares is 34. Find their difference.1 solutions Answer 370309 by Alan3354(30993)   on 2012-02-25 07:45:34 (Show Source): You can put this solution on YOUR website!The sum of two numbers is 8 and the difference between their squares is 34. Find their difference. --------- a+b = 8 b = 8-a 16a - 64 = 34 16a = 98 a = 49/8 b = 15/8
 Travel_Word_Problems/577792: if your on a plane that went 480 miles... and for the first 240 miles you went 60 and the last 240 you did 50mph what was your average mph for the trip i took the two mph and dived by 2 to get 551 solutions Answer 370308 by Alan3354(30993)   on 2012-02-25 07:38:58 (Show Source): You can put this solution on YOUR website! if your on a plane that went 480 miles... and for the first 240 miles you went 60 and the last 240 you did 50mph what was your average mph for the trip i took the two mph and dived by 2 to get 55 ------------- Avg = 2*60*50/(60+50) = 6000/110 =~ 54.55 mi/hr --------------- It's not the average of 50 & 60 --------- Find the total time: t = 240/60 + 240/50 = 4 + 24/5 t = 44/5 hours ---- r = d/t = 480/(44/5) = 2400/44 = same answer ================= It's not the avg of 60 & 50 because more time is spent moving at the lower speed. If the 2 speeds were 60 & 30, the overall speed = 40, not 45. This applies to round-trips, or trips of equal distance only.
 Vectors/577666: Determine the quadrant in which the terminal point of the vector v=5i+j is located 1 solutions Answer 370262 by Alan3354(30993)   on 2012-02-24 20:33:58 (Show Source): You can put this solution on YOUR website!Determine the quadrant in which the terminal point of the vector v=5i+j is located ----------- Hint: Both coefficients are positive.
 Rectangles/577688: A square has an area of 64 square inches. What is the measurement of each side?1 solutions Answer 370261 by Alan3354(30993)   on 2012-02-24 20:31:56 (Show Source): You can put this solution on YOUR website!8 inches You couldn't figure that out?
 Surface-area/577640: The area of a circle with a radius of 15in., to the nearest tenth is _____. Be sure to include units.1 solutions Answer 370250 by Alan3354(30993)   on 2012-02-24 19:37:17 (Show Source): You can put this solution on YOUR website!The area of a circle with a radius of 15in., to the nearest tenth is _____. --------- Be sure to include units.
 Triangles/577639: The area of a triangle with base 19in and height 11 is ______ ? Be sure to include units.1 solutions Answer 370246 by Alan3354(30993)   on 2012-02-24 19:00:59 (Show Source): You can put this solution on YOUR website!The area of a triangle with base 19in and height 11 is ______ ? Be sure to include units. ----------- Area = b*h/2 Be sure to include units.
 Mixture_Word_Problems/577665: How much of an alloy that is 40% copper should be mixed with 300 ounces of an alloy that is 60% copper in order to get an alloy that is 50% copper?1 solutions Answer 370245 by Alan3354(30993)   on 2012-02-24 18:59:32 (Show Source): You can put this solution on YOUR website!How much of an alloy that is 40% copper should be mixed with 300 ounces of an alloy that is 60% copper in order to get an alloy that is 50% copper? ----------- 50 is the the avg of 40 & 60, so it's equal amounts.
 Graphs/577653: I am working on algebra homework. I have tried this problem several times and am missing something. Write an equation in general form of a circle with the given properties Center at (-2,7); r=8 sqrt (5) my answer was x^2 + y^2 + 4x - 14y - 267 = 0 marked incorrect i tried a different equation and got it right. I dont know where I am making a mistake. Here is the one I tried and got correct but will not get credit for. (-9,3); r=4 sqrt (2) answer x^2 + y^2 +18x - 6y + 58 = 01 solutions Answer 370244 by Alan3354(30993)   on 2012-02-24 18:38:46 (Show Source): You can put this solution on YOUR website!Write an equation in general form of a circle with the given properties Center at (-2,7); r=8 sqrt (5) ------------------ ----------------------- Looks right to me. ------------------------- my answer was x^2 + y^2 + 4x - 14y - 267 = 0 marked incorrect i tried a different equation and got it right. I dont know where I am making a mistake. Here is the one I tried and got correct but will not get credit for. (-9,3); r=4 sqrt (2) answer x^2 + y^2 +18x - 6y + 58 = 0
 logarithm/577641: Hi, i am in year 12 maths B and don't understand how to use logarithms at all. An example of a question i am having difficulty with is: Use logarithms to solve: 7^x = 1/343 Thankyou for your help in advance1 solutions Answer 370241 by Alan3354(30993)   on 2012-02-24 18:25:20 (Show Source): You can put this solution on YOUR website!Use logarithms to solve: 7^x = 1/343 ----------- The name "logarithms" is unfortunate. Logs are exponents. If the name were something that implied that, it would be less confusing. --------- 7^x = 1/343 There are 2 ways to approach this. If you know that 343 = 7^3, then 1/343 = 7^(-3) Then, 7^(-3) = 1/343, and x = -3 ---------- The 2nd method is the base change formula. 7^x = 1/343 x*log(7) = log(1/343) x = log(1/343)/log(7) x = -3
 Surface-area/577650: what is the surface area of the cylinder if the diameter is 18 and the height is 241 solutions Answer 370239 by Alan3354(30993)   on 2012-02-24 18:19:54 (Show Source): You can put this solution on YOUR website!what is the surface area of the cylinder if the diameter is 18 and the height is 24 ------------- The area of the top and bottom is The lateral area is ------ Both are square units. No units were specified.
 Linear-equations/577648: Find the Intercepts of the Equations graph. Then graph the answer -x + 3y = -9 I have no idea what to do right now :( Our teacher was gone all day today and we stayed with our English teacher, Please help. Thank you so much1 solutions Answer 370238 by Alan3354(30993)   on 2012-02-24 18:14:04 (Show Source): You can put this solution on YOUR website!Find the Intercepts of the Equations graph. Then graph the answer -x + 3y = -9 ========================= At the y-int, y = 0, and vice versa. ------ -x + 3y = -9 x = 0 --> 3y = -9 y = -3 The point is (0,-3) the y-intercept. ------ -x + 3y = -9 y = 0 --> -x = -9 x = 9 The point is (9,0) ============================ There's no answer. Every point on the graph is a solution, a pair of x & y values that fit the equation. There are an infinite # of "answers." ---------- To graph it, plot the 2 points and draw a line thru them.
 Linear-equations/577579: I need help solving a few questions on Chapter 4.3 Solving Systems of Linear Equations by the Substitution Method. Question 1 How do I solve this problem? 2x-3y=11 -4x+3y=-19 1 solutions Answer 370228 by Alan3354(30993)   on 2012-02-24 17:30:32 (Show Source): You can put this solution on YOUR website!How do I solve this problem? +2x-3y=11 -4x+3y=-19 ------------ Add them
 Exponential-and-logarithmic-functions/577594: What is n^x =x ?1 solutions Answer 370212 by Alan3354(30993)   on 2012-02-24 15:18:12 (Show Source): You can put this solution on YOUR website!What is n^x =x ? -------- It's an equation.
 Travel_Word_Problems/577588: How many mph are you traveling if your moving 8 miles per minute?(old Bob Seger tune)thanks =)1 solutions Answer 370208 by Alan3354(30993)   on 2012-02-24 14:39:52 (Show Source): You can put this solution on YOUR website!How many mph are you traveling if your moving 8 miles per minute? ----------- 8 mi/min * 60 min/hr = 480 mi/hr ------------- What about 3/5 of a mile in 6 seconds?
 Age_Word_Problems/577577: In five years time I will be three times as old as I am now how old am I 1 solutions Answer 370207 by Alan3354(30993)   on 2012-02-24 14:36:16 (Show Source): You can put this solution on YOUR website!In five years time I will be three times as old as I am now how old am I ----------- 2.5 years
 Polygons/577560: What is the area of a hexagon with thegiven measurment 2√31 solutions Answer 370206 by Alan3354(30993)   on 2012-02-24 14:14:54 (Show Source): You can put this solution on YOUR website!What is the area of a hexagon with thegiven measurment 2√3 ------------- Is that the side length, the apothem, or the radius?
 Probability-and-statistics/577535: HOW COULD A PERSON COME UP WITH A 6 MINUTES AS THE LENGTH OF TIME OVER ALL WITH 33 QUESTIONS(THAT MUST BE READ ON THE SCREEN AND SAY IT OVER THE PHONE) AND HAS A PR OF 3.7 (WHICH I HAVE NO IDEA) AND WHERE N=800 (ALSO NOT FAMILIAR) ON MY OWN SOLUTION THAT I CAME UP WITH, WERE AS FOLLOWS: 6*60(SECONDS)=360sec, now 360sec./33 (questions) = 10.90sec (would that be possible? because then 10.90sec and a 2way conversation will also have to divide in 2, which left me with a 5.45sec. question is that is it really possible to come up with a 6 minutes of time with a 33 questions? i am just curious due to the fact that i am trying to do my best which i have also done it but with 3 completed task i have the total of 28 minutes so my average was approximately 9.33minutes which also i did a ~17sec per question. help me understand how they can come up with what i have explained above.. thank you Adam82491 solutions Answer 370205 by Alan3354(30993)   on 2012-02-24 14:12:57 (Show Source): You can put this solution on YOUR website!HOW COULD A PERSON COME UP WITH A 6 MINUTES AS THE LENGTH OF TIME OVER ALL WITH 33 QUESTIONS(THAT MUST BE READ ON THE SCREEN AND SAY IT OVER THE PHONE) AND HAS A PR OF 3.7 (WHICH I HAVE NO IDEA) AND WHERE N=800 (ALSO NOT FAMILIAR) ON MY OWN SOLUTION THAT I CAME UP WITH, WERE AS FOLLOWS: 6*60(SECONDS)=360sec, now 360sec./33 (questions) = 10.90sec (would that be possible? because then 10.90sec and a 2way conversation will also have to divide in 2, which left me with a 5.45sec. question is that is it really possible to come up with a 6 minutes of time with a 33 questions? i am just curious due to the fact that i am trying to do my best which i have also done it but with 3 completed task i have the total of 28 minutes so my average was approximately 9.33minutes which also i did a ~17sec per question. help me understand how they can come up with what i have explained above.. ----------------------- I don't know. You have to read questions over the phone? For what purpose? I suspect a communist plot.
 Travel_Word_Problems/577532: A man is rowing a boat upstream. As he passes under a bridge, a bottle falls out. 20 min later the rower realizes this and rows back to pick it up. He catches up with the bottle 1 mile downstream from the bridge. How fast is the current?1 solutions Answer 370204 by Alan3354(30993)   on 2012-02-24 14:01:27 (Show Source): You can put this solution on YOUR website!A man is rowing a boat upstream. As he passes under a bridge, a bottle falls out. 20 min later the rower realizes this and rows back to pick it up. He catches up with the bottle 1 mile downstream from the bridge. How fast is the current? ----------------------- Assuming his rowing speed is constant, it takes him 20 minutes to get back to the bottle. In 40 minutes, the bottle moved 1 mile wrt the land. 1 mi/(2/3) hr --> 1.5 mi/hr current. ============================== I've seen this worked using the dirt as the frame of reference. It's tedious and messy.
 Expressions-with-variables/577571: i dont know how to do these... Factoral Expressions For example.. 7!/3! 2! Please help thank, Rorogirl716@yahoo.com1 solutions Answer 370200 by Alan3354(30993)   on 2012-02-24 13:55:43 (Show Source): You can put this solution on YOUR website!i dont know how to do these... Factoral Expressions For example.. 7!/3! 2! ---------------- 7! is 7 factorial = 7*6*5*4*3*2*1 = 5040 3! = 3*2 2! = 2 ------------ A lot of calculators have a ! button. Get one that has that. ----------- 7!/3! 2! = 5040/(3*2)*2 = 5040/12 = 420
 test/577518: the legs of a right triangle are 7 inches long. ABOUT HOW LONG S THE HYPOTENUSE? 1 solutions Answer 370186 by Alan3354(30993)   on 2012-02-24 12:03:52 (Show Source): You can put this solution on YOUR website!the legs of a right triangle are 7 inches long. ABOUT HOW LONG S THE HYPOTENUSE? ---------- inches
 test/577515: mr.simpson drove 315 miles to get to the beach. if he averaged 45 miles per hour,how long didi the trip take?1 solutions Answer 370185 by Alan3354(30993)   on 2012-02-24 12:02:05 (Show Source): You can put this solution on YOUR website!mr.simpson drove 315 miles to get to the beach. if he averaged 45 miles per hour,how long didi the trip take? ---------------- d = r*t t = d/r -------------- I hope he left early.
 Volume/577501: A rectangle has an area of 36m squared Which dimensions will ensure that the rectangle has the minimum perimeter? 6 by 6 9 by 4 12 by 3 or 18 by 2 I dont get this please help 1 solutions Answer 370183 by Alan3354(30993)   on 2012-02-24 11:11:05 (Show Source): You can put this solution on YOUR website!A rectangle has an area of 36m squared Which dimensions will ensure that the rectangle has the minimum perimeter? 6 by 6 9 by 4 12 by 3 or 18 by 2 -------------- P = 2*(L + W) 2*(6+6) = 24 2*(9+4) = 26 2*(12+3) = 30 ------------ 6 by 6 is smallest, and it is the minimum.