Answers created by sankarankalyanam

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• How do you graph #y=sin(1/2)(x+pi)#?
  
• The cross section of a rectangular tank measures 1.2m by 0.9m if it contains fuel to depth of 10m, find the number of litres of fuel in the tank (1m^3 = 1000litres)?
  
• What is #(-3pi)/4 # radians in degrees?
  
• Eight less than 7 times a number is -29. What is the number?
  
• How do you simplify # sqrt75+sqrt48#?
  
• An object is made of a prism with a spherical cap on its square shaped top. The cap's base has a diameter equal to the lengths of the top. The prism's height is # 12 #, the cap's height is #8 #, and the cap's radius is #4 #. What is the object's volume?
  
• Find the length of the median of one of the legs of an isosceles triangle with sides the lengths 18,18,and 6?
  
• Mr. Winkle downloaded 34 more songs than Mrs. Winkle downloaded. Together they downloaded 220 songs. How many songs did each download?
  
• A triangle has sides A,B, and C. If the angle between sides A and B is #(pi)/4#, the angle between sides B and C is #pi/6#, and the length of B is 1, what is the area of the triangle?
  
• How do you use a half-angle formula to find the exact value of #cos22.5#?
  
• A man stands on a crane and throws a water balloon down at at 21 m/s. He finds that it takes 2.4s for the balloon to hit the ground. How fast is the water balloon travelling when it hits the ground?
  
• How do you graph the line #3x-4y-8=0#?
  
• What is the equation of the line between #(0,2)# and #(23,0)#?
  
• How do you simplify #(-10i)(9i)+8#?
  
• How do you find slope, point slope, slope intercept, standard form, domain and range of a line for Line E (9,-3) (10,3)?
  
• The movie starts at 3:15p.m and ends at 5:08 p.m how long is the movie?
  
• How do you find the period and amplitude for #y= -4 sin((2x)/3)#?
  
• A triangle as corners at #(4 ,5 )#, #(5 ,3)#, and #(2 ,1)#. If the triangle is dilated by a factor of #4 # about #(4 ,2 ), how far will its centroid move?
  
• What is the LCM of #13b^3#, #7b^2#?
  
• What is the value of #d# in the equation #root3 (k^d) = (root3 k)^5#?
  
• How to find the trigonometric equation for #3(cos x - 2sin^2 x) = cos x - 2# ?
  
• A line segment goes from #(2 ,3 )# to #(4 ,1 )#. The line segment is dilated about #(0 ,1 )# by a factor of #3#. Then the line segment is reflected across the lines #x=2# and #y=-1#, in that order. How far are the new endpoints from the origin?
  
• How do you write the equation #81^(1/2)=9# into logarithmic form?
  
• 900.00 deposit in the bank earning 3% interest how long will it take to earn $135.00 dollars?
  
• How do I make the linear equation with the following information? -Fuel Economy of Vehicle: 7.3L/100KM (13.69KM/L) -Cost of Gasoline: $1.61/L Cost per kilometer: either $0.11 or $11.7 cents
  
• The top of Mount Whitney, the highest point in California is 14494 feet above sea level. Find this height in miles to the nearest tenth of a mile? .
  
• What are the important points to graph #y=sin(3x-pi/3)#?
  
• How do you graph #y=4cos(x+1)-2#?
  
• How do you write an equation of a line going through (-3,-5) parallel to y=-4x+1?
  
• How do you add #(-6+i)+(9+3i)# in trigonometric form?
  
• An ideal gas in a sealed container has an initial volume of 2.45 L. At a constant pressure, it is cooled to 19.00 °C where its volume is 1.75 L. What was initial temperature?
  
• How do you solve the system of equations #9x - 2y = 25# and #4x - 5y = 7#?
  
• How do I simplify 2sin(100pi/9)*cos(100pi/9)?
  
• A certain triangle has two angles that have the same measure. If the length of two of the sides of the triangle is 50 and 30, what is the LEAST possible value for the perimeter of the triangle?
  
• How do you find the amplitude and period of a function #y = -½ cos(π/3) x#?
  
• What is the period of #f(t)=cos ( ( 8 t ) / 3 ) #?
  
• How do you evaluate # e^( ( 23 pi)/8 i) - e^( ( 19 pi)/6 i)# using trigonometric functions?
  
• How can you use trigonometric functions to simplify # 15 e^( ( pi)/8 i ) # into a non-exponential complex number?
  
• What is #log_3 243#?
  
• Whats this? #x^2+16x=61#
  
• What would be the equation to express Sarah's age if Sarah is 24 years younger than her mother and if the sum of their ages is 68?
  
• How do you solve #\frac { 4} { x + 3} = \frac { 2} { x - 3}#?
  
• $15 represents 20% of the spending money Arie is saving for camp this summer What is the total amount of money she hopes to take to camp?
  
• The perimeter of a regular hexagon is 48 inches. What is the number of square inches in the positive difference between the areas of the circumscribed and the inscribed circles of the hexagon? Express your answer in terms of pi.
  
• What does it mean to prove a trigonometric identity?
  
• How do you prove #(1-sin^2theta)(1+cot^2theta)=cot^2theta#?
  
• How do you find the product of #((a+4)(a-5))/a^2*(6a)/(a+4)#?
  
• How do you multiply #\frac{12x^2-x-6}{x^2-1} \cdot \frac{x^2+7x+6}{4x^2-27x+18}#?
  
• What is the perimeter of a rectangle with base 3 in. and height 7 in?
  
• How can you convert the area of a rectangle into the area of a circle?
  
• The volume of cubic shape and the area of a square are equal to 64.A student is asked to find cost of a boundary of a rectangular field whose length is side of cube and breadth is side of square,if the cost is R's 15 per unit?
  
• A right cylinder has a circumference of 16π cm. Its height is half the radius. What is the lateral area and the surface area of the cylinder rounded to the nearest tenth?
  
• How do you find surface area of a rectangular prism with length 8cm, width 5cm, and height 4cm with a hold diameter 2cm drilled through it?
  
• If #cos A = 5/13#, how do you find sinA and tanA?
  
• How do you simplify #(2 sqrt(3)+3 sqrt(2)) - (4 sqrt(2)-3 sqrt(5)-2 sqrt(6))#?
  
• Sam's car traveled 120 miles on 9 gallons of gasoline. How do you express the ratio of miles to gallons as a fraction in lowest terms?
  
• Triangle A has sides of lengths #48 ,36 #, and #54 #. Triangle B is similar to triangle A and has a side of length #14 #. What are the possible lengths of the other two sides of triangle B?
  
• How do you express 12 plus 2 as a factor t times equals 16?
  
• A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #12 # and the height of the cylinder is #24 #. If the volume of the solid is #42 pi#, what is the area of the base of the cylinder?
  
• Find tan a?
  
• What is the orthocenter of a triangle with corners at #(9 ,3 )#, #(6 ,9 )#, and (2 ,4 )#?
  
• How to simplify #tan(sec^(-1)(x))# ?
  
• How do you graph #y=4-sin3(x-pi/3)#?
  
• How do you simplify #\frac { 8y ^ { 6} } { 40y ^ { 2} }#?
  
• Simplify #(sqrt(1+2x)-3)/(sqrt(x)-2)# ?
  
• Sam loves basketball and can sink the ball in the net 65% of the time. If he takes 30 shots, how many will he sink?
  
• What is the trigonometric form of # 7 e^( ( 5 pi)/12 i ) #?
  
• What is the amplitude, period and the phase shift of #y = 3sin2x-(pi/2)#?
  
• Evaluate the six trigonometric functions (if possible) for the real number t = π?
  
• How do you divide #(2x^3+4x^2-3x-6)div(x+3)# using synthetic division?
  
• A line segment with endpoints at #(-6 , -8 )# and #(1, 1 )# is rotated clockwise by #pi #. What are the new endpoints of the line segment?
  
• Point A is at #(-6 ,1 )# and point B is at #(2 ,8 )#. Point A is rotated #(3pi)/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?
  
• A pre-mage point is rotated #90^circ# clockwise. If the pre-image point had the coordinates (3, -5), what are the coordinates of its image point?
  
• The box of Moe's Toblerone chocolate bar is shaped like an equilateral triangular prism with a slant height of 4.3 km, and 3D depth of 12.8 km. What is the maximum capacity of the box?
  
• The base of a triangle is increased by 66.6% and the altitude is decreased by 40%, then the change in the area of the triangle is ?
  
• How do you divide # (-1+4i)/(3-7i) # in trigonometric form?
  
• The base of a triangular pyramid is a triangle with corners at #(8 ,5 )#, #(7 ,2 )#, and #(4 ,6 )#. If the pyramid has a height of #7 #, what is the pyramid's volume?
  
• The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius holds pints, how many gallons will a similar can with a 24-inch radius hold?
  
• A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #18 # and the height of the cylinder is #36 #. If the volume of the solid is #420 pi#, what is the area of the base of the cylinder?
  
• A triangle has vertices A, B, and C. Vertex A has an angle of #pi/3 #, vertex B has an angle of #(5 pi)/12 #, and the triangle's area is #27 #. What is the area of the triangle's incircle?
  
• How do you solve #log_4 z + log_4 8 = log_4 24#?
  
• What are the coordinates of point A (4,-1) after it has been reflected over the y-axis?
  
• Find the perimeter of the polygons with vertices to the given points. 1.(2,3),(5,7),(-3,4)?
  
• How do you find the amplitude, period, vertical and phase shift and graph #y=sectheta+2#?
  
• How do you translate word phrases "the discount is no less than $25 (pesos) per price" into algebraic expressions?
  
• How do you simplify #x- 1- \frac { 2} { x + 1}#?
  
• What are the exact roots for #2costheta-sqrt3=0# in #0<=theta<2pi#?
  
• What is the image of point (3, 5) if the rotation is -180°?
  
• A line segment has endpoints at #(9 ,3 )# and #(5 ,9 )#. The line segment is dilated by a factor of #3 # around #(4 ,4 )#. What are the new endpoints and length of the line segment?
  
• How do you add #(-9+2i)+(2+4i)# in trigonometric form?
  
• How do you divide #( -i-9) / (i-2)# in trigonometric form?
  
• How do you solve #2\sin x = 3\cos ( x + 45^ { \circ } )#?
  
• A line segment has endpoints at #(5 ,8 )# and #(2 , 1)#. The line segment is dilated by a factor of #3 # around #(6 , 4)#. What are the new endpoints and length of the line segment?
  
• What are the components of the vector between the origin and the polar coordinate #(-2, pi/3)#?
  
• At noon a small plane left an airport and flew due east at 200 km/h. Two hours later another plane left the same airport and flew due south at 400 km/h. At what time will the planes be exactly 800 km apart from one another?
  
• 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?
  
• How do you simplify #(2+ \sqrt { - 25} ) + ( - 8- \sqrt { - 9} )#?
  
• How do you simplify #f(theta)=2cot(theta/2)-csc(theta/4)-cos(theta/4)# to trigonometric functions of a unit #theta#?
  
• Half angle identities?
  
• Two corners of an isosceles triangle are at #(8 ,5 )# and #(9 ,1 )#. If the triangle's area is #12 #, what are the lengths of the triangle's sides?
  
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