# Questions on Geometry: Geometric formulas answered by real tutors!

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 Geometric and Other Formulas Answers archive In Depth

 Question 67089: How many three-digit counting numbers are there that are less than 300 such that all the digits are even? Click here to see answer by Zoop(21)

 Question 67218: Log(base 3)9- log(base 5)5^3 + log(base 7) 7 ^2 - log (base 11)1 Click here to see answer by Nate(3500)

 Question 67219: Solve for x: (A.) Log(base 5)7 + log(base 5)8 = log(base 5)(2x-4) (B.) Log(base 3) (x+1) - log(base 3) x = log(base 3) 15 (C.) (3/4)log(base 10) 10,000 = x Click here to see answer by Nate(3500)

 Question 67224: Find F where g(x)= x^3 and (F of G)(x) = 2x^3+3 Click here to see answer by Nate(3500)

 Question 67221: Write the quadratic equation with a lead coefficient of 1 whose roots are 2+ square root of 5 and 2- the square root of 5. Click here to see answer by Nate(3500)

 Question 67216: Four thousand liters of solution was available that was 92% alcohol. How many liters of alcohol had to be extracted so that the solution would be only 80% alcohol? Click here to see answer by stanbon(57246)
 Question 67216: Four thousand liters of solution was available that was 92% alcohol. How many liters of alcohol had to be extracted so that the solution would be only 80% alcohol? Click here to see answer by Nate(3500)

 Question 67234: One thousand liters of a solution was available, but the solution was 90% alcohol. Jim needed a solution which was 80%percent alcohol. How many liters of alcohol had to be extracted so that the solution would be 80% alcohol? Click here to see answer by Nate(3500)

 Question 67233: On the 36-mile trip to the magic fountain, alice walked at a brisk pace. On the way back, alice doubled her pace. If the total trip took 6 hours, how fast did alice travel on the trip to the magic fountain and on the return trip from the magic fountain? Click here to see answer by stanbon(57246)

 Question 67240: Find the standard form of the equation of a circle whose center is (h,K) and whose radius is 6. Click here to see answer by Nate(3500)

 Question 67238: Factor x^2 +3x +6 over the set of complex numbers. Click here to see answer by Nate(3500)

 Question 67236: The ratio of rubies to emeralds was 3 to 1, and the ratio of emeralds todiamonds was 2 to 1. If there were 18 rubies, emeralds, and diamonds in all, how many of each were there? Click here to see answer by Nate(3500)

 Question 67231: The coach purchased b balls for d dollars. If each ball had cost \$2 more, how many balls could the coach have purchased for \$200? Click here to see answer by stanbon(57246)

 Question 67232: The panther moved 60 degrees along a circular arc of radius 600 meters. How far did the panther move? Click here to see answer by Nate(3500)

 Question 67242: Solve for x: (A.) (5/2) log(base 4)4 = log(base 4)(2x-3) (B.) Log(base 3)(x+2)- log(base 3)x = log(base 3)10 (C.) Log(base 8)x = (3/4)log(base 8)81 Click here to see answer by stanbon(57246)

 Question 67230: The cook had x poinds of food in the store house, and this would feed y workers for d days. Then 50 more workers arrived in camp. How many days would the cook's food last since (y+50) workers must now be fed? Click here to see answer by ptaylor(2048)

 Question 67228: Six literature books and four math books are on a shelf. How many ways can they be arranged if themath books are kept together and the literature books are kept together? Click here to see answer by stanbon(57246)

 Question 67225: Find the domain of the function F(x)= [(square root of x)/1-(the absolute value of 4x)] Click here to see answer by stanbon(57246)

 Question 67214: The latitude of Princeton, New Jersey, is 40.5 degrees north of the equator. How far is it from Princeton to the equator if the diameter of the earth is 7920 miles? Click here to see answer by stanbon(57246)

 Question 67227: How many three-digit counting numbers that are less than 300 are there such that all the digits are odd? Click here to see answer by 303795(595)

 Question 67223: Find the equation of the line that is equidistant from the points (-4,-3) and (4,6). Write the equation in slope-intercept form. Click here to see answer by cassiroberts(11)

 Question 67220: Determine if F(x) = (1/x) and g(x)= (1/x) are inverse functions by computing their compositions. Click here to see answer by Earlsdon(6287)

 Question 67322: Evaluate without a calculator: A) sin{ Arctan [(-5/13)]} B)cos{ Arcsin[(-3/4)]} C)Arccos[(-square root of 3/2)] D) tan { Arcsin[(-3/4)]} Click here to see answer by stanbon(57246)

 Question 67315: Find the standard form of the equation of a circle whose center is (-2,5) and whose radius is 6. Click here to see answer by stanbon(57246)

 Question 67319: Simplify: 3log(base 7)7 - log(base 5)25 + log(base 3)(1/3) + log(base 10)1 Click here to see answer by stanbon(57246)

 Question 67320: Determin if F(x) = 3x+1 and G(x)=(1/3)x-(1/3) are inverse functions by computing their compositions. Click here to see answer by Nate(3500)

 Question 67375: Amy walked through an arc of 40 degrees along the rim of a circular swimming pool 40 feet in diameter. How far did she walk? Click here to see answer by Earlsdon(6287)

 Question 67386: Let f(x) = 3x^2 and g(x) = x - (2/x) Evaluate: A.)(f-g)(3) B.)(f/g)(3) C.)(g of f)(3) Click here to see answer by algebrapro18(206)

 Question 67374: Pencils sell at D dollars for 1 dozen. At this price, what would be the total cost of M pencils? Click here to see answer by ptaylor(2048)

 Question 67383: Solve for x: A.) Log(base 3)4 + log(base 3)5 = log(base 3)(4x+5) B.)log(base 7)6 -log(base 7)(x-1) = log(base 7)3 C.)3log(base x)4 = 2 Click here to see answer by algebrapro18(206)

 Question 67382: Simplify: log(base 2)8 + 3 log(base 3)3 - log(base 2)1 + log(base 4)(1/4) Click here to see answer by algebrapro18(206)

 Question 67388: The latitud of Cambridge is 42.4 degrees north of the equator. If the diameter of the earth is 7920 miles, how far is Cambridge from the equator? Click here to see answer by Nate(3500)

 Question 67381: Find the standard form of the equation of a circle whose center is (2,1) and whose radius is 3. Click here to see answer by Nate(3500)

 Question 67372: If M workers can do a job in D days, how long would it take 40 workers to do the same job? Click here to see answer by ptaylor(2048)

 Question 67387: A.)How many odd three-digit counting numbers less than 300 can be found given that the second digit cannont be 2 or 8? Repitition is permitted. B.)How many even three-digit counting numbers can be formed if the second digit is not 0 and the third is not 6? Repitition is permitted. Click here to see answer by stanbon(57246)

 Question 67378: A.) Arctan(tan 315 degrees) B.)Arctan (tan 150 degrees) Click here to see answer by stanbon(57246)

 Question 67371: How many four-digit counting numbers can be made from the digits 1,2,3, and 4 if 2 and 3 must be next to each other and if repetition is not permitted? Click here to see answer by stanbon(57246)

 Question 67385: Find the number that is (4/5) of the way from -3(2/3) to 4(1/4). Click here to see answer by stanbon(57246)

 Question 67421: Find the standard form of the equation of a circle whose radius is 4 and whose center is (3,2). Click here to see answer by prabhjyot(164)

 Question 67418: Write the quadratic equation with a lead coefficient of 1 whose roots are 1+3i and 1-3i. Could someone show me how to this step-by-step, please? Click here to see answer by Nate(3500)

 Question 67473: How would you rewrite the formula A=1/2(b1+b2)h to find b2? Click here to see answer by Edwin McCravy(8882)

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