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# Recent problems solved by 'Alan3354'

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 Geometry_Word_Problems/623405: I have a swimming pool to install that sides roll out to measure 75ft. THe pool is to be an exact circle. Can you tell me what size circle I need to install the pool?1 solutions Answer 392074 by Alan3354(31509)   on 2012-06-24 12:10:32 (Show Source): You can put this solution on YOUR website!I have a swimming pool to install that sides roll out to measure 75ft. THe pool is to be an exact circle. Can you tell me what size circle I need to install the pool? ---------- If you mean it'll be 75 ft around, the circumference = 75 ft, then d = 75/pi =~ 23.87 ft diameter = 23' 10.5"
 Rational-functions/623315: how to find the intercepts and use the to graph the equation 4x+2y=81 solutions Answer 392065 by Alan3354(31509)   on 2012-06-24 10:33:28 (Show Source): You can put this solution on YOUR website!how to find the intercepts and use the to graph the equation 4x+2y=8 ----------- At the x-intercept, y = 0 and vice versa. ---- 4x+2y=8 2y = 8 y = 4 --> (0,4) ------------ 4x+2y=8 4x = 8 x = 2 --> (2,0) It's a straight line, so 2 points is sufficient.
 Linear_Algebra/623380: (x-9) (x-9)= x2-81 -how did you find the factors of x2-81?1 solutions Answer 392063 by Alan3354(31509)   on 2012-06-24 10:23:22 (Show Source): You can put this solution on YOUR website!(x-9) (x-9)= x2-81 -how did you find the factors of x2-81? ------------- Use ^ for exponents, shifted 6. ----- (x-9)*(x-9) is not x^2-81 ---
 Polynomials-and-rational-expressions/623382: Hello, I have a polynomial long division question that I am stumped on. (3x^3+4x-1) ------------- (x^2+1) I am having troubles solving when there is no x^2 in the polynomial. Thank you. Andrea1 solutions Answer 392062 by Alan3354(31509)   on 2012-06-24 10:14:53 (Show Source): You can put this solution on YOUR website!Hello, I have a polynomial long division question that I am stumped on. (3x^3+4x-1) ------------- (x^2+1) I am having troubles solving when there is no x^2 in the polynomial. --------------- Just put 0x^2 in that space. ================ email via the Thank You note to check your answer.
test/623387: secA+tanA= 4, then find sinA
1 solutions

Answer 392061 by Alan3354(31509)   on 2012-06-24 10:11:29 (Show Source):
You can put this solution on YOUR website!
secA+tanA= 4, then find sinA
-----------
secA+tanA= 4
1/cos + sin/cos = 4

Square both sides
sin^2 + 2sin + 1 = 16 - 16sin^2
17sin^2 + 2sin - 15 = 0
Sub x for sin(A)
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=1024 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.882352941176471, -1. Here's your graph:

sin = -1
The -1 solution can't be used - the secant is undefined.
==============
sin =~ 0.882353

 Equations/623360: Which is not an equation of the line that passes through the points (1, 1) and (5, 5)? 1 solutions Answer 392058 by Alan3354(31509)   on 2012-06-24 08:37:57 (Show Source): You can put this solution on YOUR website!Which is not an equation of the line that passes through the points (1,1) and (5,5)? x = y is, or any form of it. ========= Don't put a space after the comma.
 Age_Word_Problems/623367: if i am 12 and someone has known me since i was 5 i how will i be when they have known me for 90 percent of my life1 solutions Answer 392057 by Alan3354(31509)   on 2012-06-24 08:36:47 (Show Source): You can put this solution on YOUR website!if i am 12 and someone has known me since i was 5 i how will i be when they have known me for 90 percent of my life ------------- 5 yrs will be 10% that they didn't know you --> 90% = 45 yrs known 5 + 45 = 50 ---------- When you're 50, they'll have known you for 45 years, 90% of your life. Being 12 now is not relevant.
 Polygons/623328: Find the area of a regular hexagon with the given measurement. 48-inch perimeter1 solutions Answer 392039 by Alan3354(31509)   on 2012-06-23 22:41:21 (Show Source): You can put this solution on YOUR website!Find the area of a regular hexagon with the given measurement. 48-inch perimeter ------------- Sides = 8 inches n = 6, s = 8 sq inches
 Exponents/623329: So my question is how do I check this answer I get confused how to set it up! So I got 5a-3/2-3a-9/8=6 I worked it out and it come out a=3 but how do I set it up to check the answer?? Please help thank you! 1 solutions Answer 392038 by Alan3354(31509)   on 2012-06-23 22:38:38 (Show Source): You can put this solution on YOUR website!If you mean Multiply by 8 4*(5a-3) - (3a-9) = 48 20a - 12 - 3a + 9 = 48 17a = 51 a = 3 ====== To check it, sub 3 for a ? ? 6 = 6
 Rational-functions/623248: Sketch the graphs of the functions: (please use graph paper) a. f(x) = x2 + 1 b. g(x) = 4 - √x c. h(x) = 1/x1 solutions Answer 392034 by Alan3354(31509)   on 2012-06-23 21:02:06 (Show Source): You can put this solution on YOUR website!Sketch the graphs of the functions: (please use graph paper) a. f(x) = x2 + 1 b. g(x) = 4 - √x c. h(x) = 1/x =============== Ok, I did. It's on the paper.
 Rectangles/623292: If a billboard has a perimeter of 5000 square foot. What is the distance from corner to corner?1 solutions Answer 392033 by Alan3354(31509)   on 2012-06-23 21:00:45 (Show Source): You can put this solution on YOUR website!If a billboard has a perimeter of 5000 square foot. What is the distance from corner to corner? --------- It depends on the shape
 Age_Word_Problems/623299: When will the ages 22 and 12 be to 30 years apart1 solutions Answer 392032 by Alan3354(31509)   on 2012-06-23 20:59:35 (Show Source): You can put this solution on YOUR website!When will the ages 22 and 12 be to 30 years apart ------- Never. They will be 10 yrs apart. Unless one is a dog.
 Radicals/623256: How do you solve 100(X+1/2)^2=11 solutions Answer 392004 by Alan3354(31509)   on 2012-06-23 16:00:59 (Show Source): You can put this solution on YOUR website!How do you solve 100(X+1/2)^2=1 ------------ Divide by 100 (X+1/2)^2 = 1/100 Take sqrt of both sided x + 1/2 = 1/10 or -1/10 x = 1/10 - 1/2 x = -2/5 ---------- x = -1/10 - 1/2 x = -3/5
 logarithm/623255: Solve for x = -1/21 solutions Answer 392000 by Alan3354(31509)   on 2012-06-23 15:42:05 (Show Source): You can put this solution on YOUR website!Solve for x = -1/2 ------------- Change to exponential form x = 1/4
 Reduction-of-unit-multipliers/623253: 9^-4= 256 ?1 solutions Answer 391994 by Alan3354(31509)   on 2012-06-23 15:26:50 (Show Source): You can put this solution on YOUR website!9^-4= 256 ? ---------- no
 Linear-systems/623105: 6x+2=3y-4 Find x. How do I solve this? Thank you.1 solutions Answer 391982 by Alan3354(31509)   on 2012-06-23 14:33:11 (Show Source): You can put this solution on YOUR website!6x+2=3y-4 Find x. How do I solve this? -------------- I found it, it's on the left side next to the 6. ========= Ok, let's get serious. You can solve for x in terms of y. get the x on one side of the = by itself. ---- 6x+2 = 3y + 4 Subtract 2 6x = 3y + 2 Divide by 6 x = (3y/6) + (2/6) or, x = (3y+2)/6 x = y/2 + 1/3 Either is acceptable
 Travel_Word_Problems/623238: . Cars and taxis have an odometer which measures the distance travelled in kilometers. While going by a car, note down the number of kilometers travelled after every 10 minutes. Draw the distance – time graph. 1 solutions Answer 391981 by Alan3354(31509)   on 2012-06-23 14:28:34 (Show Source): You can put this solution on YOUR website!. Cars and taxis have an odometer which measures the distance travelled in kilometers. While going by a car, note down the number of kilometers travelled after every 10 minutes. Draw -------------- You'll have to do that yourself.
 test/623109: X+y=1 x-2y=41 solutions Answer 391962 by Alan3354(31509)   on 2012-06-23 12:31:03 (Show Source): You can put this solution on YOUR website!x +y=1 x-2y=4 -------- Subtract
 Travel_Word_Problems/623226: leaving at 7:00 am traveling 256 miles and traveling at a speed of 70 miles per hour. I will fill my car up with 15 gallons of gas at \$3.35 per gallon, and gets 20 miles per gallon on the highwy. 1. what time will i arrive at my destination and how many hours 2. how much will my trip cost 3. how much gas will i use4. how di how did you get your answers 1 solutions Answer 391961 by Alan3354(31509)   on 2012-06-23 12:27:56 (Show Source): You can put this solution on YOUR website!leaving at 7:00 am traveling 256 miles and traveling at a speed of 70 miles per hour. ----------- d = r*t t = d/r = 256/70 t =~ 3.657 hours t = 3 hr 39 mins Arv @ 10:39
 Graphs/623155: Graph f(x)=x^3-3x^2 1 solutions Answer 391956 by Alan3354(31509)   on 2012-06-23 11:58:51 (Show Source): You can put this solution on YOUR website!Graph f(x)=x^3-3x^2 ------------ Pick values for x and find y (or f(x)) Plot the points Draw a curve thru them. ------------- You can use Excel to make a table. ---- You can dl the FREE graph software at http://www.padowan.dk Use Insert, enter x^3 - 3x^2
 Travel_Word_Problems/623222: leaving at 7:00 am traveling 256 miles. I will fill my car up with 15 gallons of gas at \$3.35 per gallon, and gets 20 miles per gallon on the highwy. 1. what time will i arrive at my destination and how many hours 2. how much will my trip cost 3. how much gas will i use how did you get your answers 1 solutions Answer 391954 by Alan3354(31509)   on 2012-06-23 11:56:26 (Show Source): You can put this solution on YOUR website!leaving at 7:00 am traveling 256 miles. I will fill my car up with 15 gallons of gas at \$3.35 per gallon, and gets 20 miles per gallon on the highwy. 1. what time will i arrive at my destination and how many hours You have to specify the speed. =========================== 3. how much gas will i use 256 mi/20 mi/gal = 12.8 gallons =========== 2. how much will my trip cost 12.8 gallons * \$3.35/gallon = \$42.88 ---------- The 15 gallon fillup is not relevant. how did you get your answers
 Trigonometry-basics/623198: Find the exact value of sin θ, if cos θ = 4/5 and θ lies in quadrant IV.1 solutions Answer 391951 by Alan3354(31509)   on 2012-06-23 11:35:15 (Show Source): You can put this solution on YOUR website!Find the exact value of sin θ, if cos θ = 4/5 and θ lies in quadrant IV. -------------- Plot the terminal point on the x-y grid x = 4, r = 5 y = 3 (by Pythagoras) --> -3 in Q4 sin = y/r sin = -3/5 ------------- Or do it this way: sin^2 + cos^2 = 1 sin = sqrt(1 - cos^2) = 3/5 or -3/5 Q4 --> -3/5
 Travel_Word_Problems/623217: i am going on a family trip, leaving at 7:00 am tarveling 256 miles. My car holds 15 gallons of gas at a price of \$3.35 per gallon. 1. what time will i arrive at my destinatin 2. how much will my trip cost 3.how much gas will i use driving 256 miles1 solutions Answer 391950 by Alan3354(31509)   on 2012-06-23 11:25:13 (Show Source): You can put this solution on YOUR website!i am going on a family trip, leaving at 7:00 am tarveling 256 miles. My car holds 15 gallons of gas at a price of \$3.35 per gallon. ================================ 1. what time will i arrive at my destinatin Need to specify the speed. -------------- 2. how much will my trip cost Need to specify fuel consumption rate. ---------- 3.how much gas will i use driving 256 miles Same as #2
 Evaluation_Word_Problems/623150: Please help me solve this word problem of variation. The volume rate of flow R of blood through an artery varies directly as the fourth power of the radius r of the artery and inversly as the distance d along the artery. If an operation is successful in effectively increasing the radius of an artery by 25% and decreasing its length by 2%, by how much is the volume rate of flow increased?1 solutions Answer 391948 by Alan3354(31509)   on 2012-06-23 11:20:08 (Show Source): You can put this solution on YOUR website!The volume rate of flow R of blood through an artery varies directly as the fourth power of the radius r of the artery and inversly as the distance d along the artery. If an operation is successful in effectively increasing the radius of an artery by 25% and decreasing its length by 2%, by how much is the volume rate of flow increased? -------------- Use F1 for flow, F2 for flow after surgery, r for radius & L for length F1 = k*r^4*L --> F2 = k*(1.25r)^4/(0.98L) F2 =~ k*2.4414/0.98r^4*L F2/F1 =~ 2.4912 Increase = F2/F - 1 = 1.4912 ---------------- It's 2.49 times the original Increased 1.49 times the original, a 149% increase.
 Quadratic_Equations/623139: how can i solve this 18z + 45 + z2 1 solutions Answer 391945 by Alan3354(31509)   on 2012-06-23 11:13:10 (Show Source): You can put this solution on YOUR website!how can i solve this 18z + 45 + z2 ----------- Equations are solved. That has no equal sign --> not an equation.
 test/623205: How do u do this: (13-3)2-squared1 solutions Answer 391944 by Alan3354(31509)   on 2012-06-23 11:11:24 (Show Source): You can put this solution on YOUR website!How do u do this: (13-3)2-squared --------- Do what? It's not clear what you want to do. 2 minus squared ?
 Linear-equations/623212: x+4y-6=0 1 solutions Answer 391943 by Alan3354(31509)   on 2012-06-23 11:10:28 (Show Source): You can put this solution on YOUR website!x+4y-6=0 -------- Thx for letting us know. Do you have a question?
 Triangles/623215: find the % increase in the area of the triangle if its each side is doubled1 solutions Answer 391942 by Alan3354(31509)   on 2012-06-23 11:08:14 (Show Source): You can put this solution on YOUR website!find the % increase in the area of the triangle if its each side is doubled ------------- Area is a function of the square of the sides --> 4 times the area = 300% increase
 Sequences-and-series/623186: per favore mi potete aiutere perchè non ho capito questo problema: in un rettangolo una dimensione è il triplo dell' altra e la loro somma misura 120 cm. calcola il perimetro di un triangolo equilatero il cui lato è congruente al doppio della dimensione minore del rettangolo. grazie mille 1 solutions Answer 391918 by Alan3354(31509)   on 2012-06-23 08:32:40 (Show Source): You can put this solution on YOUR website!Please can I aiutere because I did not understand this problem: a dimension of a rectangle is three times the 'other and their sum is 120 cm. L = 3W L + W = 120 cm ----- 3W + W = 120 W = 30 cm L = 90 cm --------- calculates the perimeter of an equilateral triangle whose side is congruent to twice the minor dimension of the rectangle. s = 30 cm P = 3s = 90 cm
 Travel_Word_Problems/623190: Car travelled 660 miles in 3hrs 40 mins. What was its avg speed?! How do I work this out as quick as possible without a calculator?! Thanks1 solutions Answer 391917 by Alan3354(31509)   on 2012-06-23 08:27:49 (Show Source): You can put this solution on YOUR website!Car travelled 660 miles in 3hrs 40 mins. What was its avg speed?! ---------- 3:40 = 220 minutes r = d/t = 660/220 = 3 mi/min = 180 mi/hr