Questions on Geometry: Geometric formulas answered by real tutors!

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Question 66510: The average speed for the first 36 miles was 12mph. The average speed for the next 45 miles was 15mph. What should be the average speed for the next 54 miles so that the overall average speed would be 15mph?
Click here to see answer by checkley71(8403)

Question 66509: The airplane flew M miles in H hours and arrived 3 hours late. how fast should the plane have flown in order to arrive on time?
Click here to see answer by uma(370)

Question 66496: log2^(x+4)- log2^(x-4)= log2^5
Click here to see answer by Nate(3500)

Question 66552: It tok Sally 3 hours to go 75 miles down stream and it took her 5 hours to travel back upstream to her starting position. What was the speed of her boat in still water and what was the speed of the current in the river?
Click here to see answer by stanbon(57407)

Question 66559: Determine if F(x)= (x/2) and g(x)= (2/x) are inverse functions by computing their compositions.
Click here to see answer by stanbon(57407)

Question 66573: solve for x:
log2^(x+4) - log2^(x-4) = log2^5
Click here to see answer by venugopalramana(3286)

Question 66572: solve for x:
4log6^x = log6^256
Click here to see answer by stanbon(57407)

Question 66558: 2log7^x = 4
Click here to see answer by Earlsdon(6287)

Question 66566: A runner can run 100 yards in 9.8 seconds and 440 yards in 49 seconds. What is the ratio of her average speed in the 440 to her average speed in the 100?
Click here to see answer by venugopalramana(3286)

Question 66556: A furniture salesperson is normally paid $160 for a 40 hour week. During the week of the sale, his hourly pay was increased 25 percent and he was allowed to work 60 hours. How much did he make during the week of sale?
Click here to see answer by rcmcc(152)

Question 66495: log4^2 + log4^8 = log4^(x+3)
Click here to see answer by ankor@dixie-net.com(15661)

Question 66798: I have a question about midpoints and segment congruence. Here it is:
It says given the coordinate of one endpoint line AB and its midpoint M, find the coordinates of the other end point. A(0,9), M(2,5)
Click here to see answer by checkley71(8403)

Question 66827: A horse runs through an arc of 40 degrees along a circular racetrack. How far will the horse run if the diameter of the racetrack is 3000 ft. ?
Click here to see answer by checkley71(8403)

Question 66828: Andy measured the angle between the base of the building and the top of the building and received a reading of 0.5 degrees. If Andy was 5000 feet from the base of the building when the measurement was made, how high was the building?
Click here to see answer by stanbon(57407)

Question 66875: Write the quadratic equation with a lead coefficient of 1 whose roots are 1+ square root of 3 and 1- square root of 3.
Click here to see answer by josmiceli(9697)

Question 66876: Evaluate:
(a)
Arcsin (-1/2)
(b)
sin [ Arcsin (-3/5)]
Click here to see answer by stanbon(57407)

Question 66868: Determine if f(x) = x^3 and g(x) = the cubed root of x, are inverse functions by computing their compositions.
Click here to see answer by venugopalramana(3286)

Question 66819: Evaluate:
A.) Arcsin [ -(square root of 3)/2]
B.) sin [ Arccos (-3/4) ]

Click here to see answer by venugopalramana(3286)

Question 66860: Five times sally's age now exceeds 3 times John's age by 30. In 10 years, twice sally's age will exceed john's age by 26. What will be their ages 13 years from now?
Click here to see answer by ankor@dixie-net.com(15661)

Question 66858: Ten workers could do the job in 12 days. If 8 workers worked for 5 days and then half of them quit, how long would it take for the rest to complete the job?
Click here to see answer by ankor@dixie-net.com(15661)

Question 66857: The tiger trotted through an arc of pi/6 radians along a circular arc of radius 1000 feet. How far did the tiger trot?

Click here to see answer by ptaylor(2048)

Question 66874: Find the equation of the line that is equidistant from the points (-6,4) and (0,8). Write the equation in slope-intercept form.
Please help me!!!
Click here to see answer by josmiceli(9697)

Question 66859: The price of gasoline is $1.30 per gallon plus federal tax of F cents and a state tax of S cents. How many gallons of gasoline can be purchased for $20?
Click here to see answer by ptaylor(2048)

Question 66872: Find the coordinates of the point halfway between (-6,2) and (7,4).
Click here to see answer by checkley71(8403)

Question 66870: Find the number that is (1/3) of the way from 2(2/3) to 6(1/3).
Click here to see answer by checkley71(8403)

Question 66985: In his search for the fountain, Ponce ambled for 1 year at a leisurely pace and then tripled his pace for the next 10 years. If the total journey was 3100 miles, how far did he amble?
Click here to see answer by josmiceli(9697)

Question 66982: The drummer boy purchased D drums for X dollars. If each drum had cost $5 less, how many drums could the boy have purchased for $100?
Click here to see answer by josmiceli(9697)

Question 66999: Find the number that is (4/5) of the way from 1(1/4) to -6(2/3).
Click here to see answer by ptaylor(2048)

Question 66984: Mom had P pounds of cookies and this would feed C children for M minutes. Yet N more children showed up. In how many minutes will P pounds of cookies be devoured by the children?
Click here to see answer by josmiceli(9697)

Question 67001: Evaluate:
(A.)
Arccos(square root of 2/2)
(B.)
Cos [ Arcsin (-4/5)]
Click here to see answer by stanbon(57407)

Question 67000: Find two functions F and G such that (F of G)(x) = log3^(x+2)
Click here to see answer by stanbon(57407)

Question 66998: Find the coordinates of the point halfway between (-3,4) and (8,-3).
Click here to see answer by stanbon(57407)

Question 66997: Find the equation of the line that is equidistant from the points (-3,-2) and (2,3). Write your equation in general form.
please help!!!!
Click here to see answer by stanbon(57407)

Question 66995: Write the quadratic equation with a lead coefficient of 1 whose roots are 3 and (-1/4)
Click here to see answer by stanbon(57407)

Question 66994: Determine if F(x) = (1/3)x-3 and g(x)= 3x+9 are inverse functions by computing their comositions.
Click here to see answer by stanbon(57407)

Question 66986: The Jogger ran through an arc of 60 degrees along a circular track whose diameter is 600 yards. How far did the jogger run?
Click here to see answer by ankor@dixie-net.com(15661)

Question 66996: Use the point-slope form to find a general form of the equation of the linew whose slope is (-1/4) and that passes through (-2,3).
Click here to see answer by ankor@dixie-net.com(15661)

Question 66992: Solve for x:
Logx^16 = 4
Click here to see answer by ankor@dixie-net.com(15661)

Question 67003: If x^2 +y^2 = 40 and xy = 16, compare: A.) (x - y)^2 B.)12
Click here to see answer by venugopalramana(3286)

Question 66993: Solve for x:
log15^x = (2/3)log15^8
Click here to see answer by Earlsdon(6287)

Question 67002: If F(x) = 2x, find [(F(x+h) - F(x-h)/2h)]
Click here to see answer by Nate(3500)

Question 66991: Solve for x:
Log3^(x+3)- log3^(x-2)= log3^12
Click here to see answer by Nate(3500)

Question 66990: Solve for x:
log4^8 + log4^6 = log4^(3x+2)
Click here to see answer by Nate(3500)

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