Answers edited by Kalyanam S.

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• Find the capacity in litres of a conical vessel with height 12 cm and slant height of 13cm ?
  
• What is the area of a circle that has a diameter of 4.2 cm?
  
• Find the average velocity of a car which travels 360 km in 6 hours, show in m/s and km/h ?
  
• How do you find the intercepts for `3x + 4y = -4`?
  
• Find the solution set of `sqrt(log(y+1))= log (y-1)` ?
  
• What are the cartesian co-ordinates of r=2 ,angle=45?
  
• How do you find the amplitude, period and phase shift for `y=cos(1/2(theta-90^circ))+2`?
  
• How do you evaluate `e^( ( 13 pi)/8 i) - e^( ( 3 pi)/2 i)` using trigonometric functions?
  
• How do you solve `(a-6)/5=7/12`?
  
• What is the slope of the line passing through the following points: `(1,-4) , (5,-13)`?
  
• How do you divide `( i-1) / (-i +10 )` in trigonometric form?
  
• Write the complex number `(sqrt3+i )/ (sqrt3-i)` in standard form?
  
• How do you write `-4d^4+1-d^2` in standard form and what is the leading coefficients?
  
• How do you rewrite `2 \times 37` as the sum of two products?
  
• A triangle has sides A, B, and C. The angle between sides A and B is `(pi)/6`. If side C has a length of `23` and the angle between sides B and C is `( 5 pi)/8`, what are the lengths of sides A and B?
  
• How do you find all six trigonometric function of `theta` if the point `(sqrt2,sqrt2)` is on the terminal side of `theta`?
  
• Which statement correctly identifies the negation and truth value of the statement below? If two polygons are congruent, then they are similar.
  
• How do you divide `( 7i+1) / (i -6 )` in trigonometric form?
  
• How do you write an equation for a cosine function with an amplitude of 2/3, a period of pi, and a vertical shift of 2 units up?
  
• How do you convert `(−2, −9)` to polar form?
  
• Complete the identity?
  
• How do you find the amplitude, period and phase shift for `y=cos3(theta-45^circ)+1/2`?
  
• How do you solve `9( 8t + 1) - 16= t - ( t + 6)`?
  
• A parallelogram is drawn with a 60° angle and its two bases are 5 and 7. What is the height of the parallelogram?
  
• What is the greatest common factor of `60x^4y^7, 45x^5y^5, and 75x^3y`?
  
• Cot x/2=-k then tan x=?
  
• For her science project, Nija built a rectangular prism out of foam block. The block had a base area of 225 square inches and a height of 3 inches. What was the block's volume?
  
• How do you simplify `(2x-1)/((x-3)(x+2)) + (x-4)/(x-3)`?
  
• A triangle has vertices A, B, and C. Vertex A has an angle of `pi/8`, vertex B has an angle of `(7pi)/12`, and the triangle's area is `22`. What is the area of the triangle's incircle?
  
• How do you multiply `e^((11pi )/ 12 ) * e^( pi i )` in trigonometric form?
  
• How do you simplify `((\frac { 2x ^ { 3} } { x ^ { 2} y ^ { 4} } ) ^ { 3} )(\frac { ( x y ^ { 2} ) ^ { 5} } { ( 6y ^ { 2} ) ^ { 2} })`?
  
• Complete the identity?
  
• Two opposite sides of a parallelogram each have a length of `8`. If one corner of the parallelogram has an angle of `( pi)/3` and the parallelogram's area is `96`, how long are the other two sides?
  
• How do you find the period, amplitude and sketch `y=-4sin(2/3x-pi/3)`?
  
• How do you evaluate `e^( (3 pi)/2 i) - e^( (13 pi)/8 i)` using trigonometric functions?
  
• How do you write the polynomial `-1 + 2x^2` in standard form and how many terms and degree is it?
  
• Find the exact soultions on the interval from (-90degrees, 720degrees) cos3x=-sqrt3/2?
  
• How do you evaluate `1/3+1/2+2/3`?
  
• How to calculate hypotenuse of right triangle with one length?
  
• A triangle has corners at `(2 ,5 )`, `(3 ,1 )`, and `(4 ,2 )`. What is the area of the triangle's circumscribed circle?
  
• How many degrees will the skaters turn if they go once around a regular hexagon? A regular octagon? A regular polygon with `n` sides?
  
• What is the slope and the point in `y=3+2(x-1)`?
  
• How do you find the least common denominator of `2/(7x-14` and `x/(3x-6`?
  
• A triangle has corners at `(7 , 9 )`, `(3 ,7 )`, and `(1 ,1 )`. What is the radius of the triangle's inscribed circle?
  
• How do you simplify `(8x^6 y^3)^(1/3)`?
  
• Triangle `ABC` has coordinates of `A(-8, 8), B(4, -2)`, and `C(2, 2)`. What are the coordinates of its image after a dilation centered at the origin with a scale factor of 1.5?
  
• In this triangle, what is the value of x? Enter your answer, rounded to the nearest tenth, in the box. x = km
  
• How do you calculate `Log_5 16`?
  
• How do you divide `(8+i)/(-2-9i)` in trigonometric form?
  
• In a rectangular pyramid, the area of one triangular face is 21 square ft (it also has a height of 7 ft). What is the height of the pyramid?
  
• What is the measure of angle c?
  
• The weight of a nickel is 80%of the weight of a quarter. If a nickel weighs 5 grams , how much does the quarter weigh? Thanks
  
• In radians, what is `arccos-1/2`?
  
• How do you find the amplitude, period, phase shift given `y=1-tan(3pi+2x)`?