Answers edited by SagarStudy

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• What is the velocity on impact of a ball dropped from a 20 m cliff?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #pi/8#. If side C has a length of #2 # and the angle between sides B and C is #pi/12#, what is the length of side A?
  
• How do you solve for P: A = P(1 + rt)?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #(7pi)/12#. If side C has a length of #16 # and the angle between sides B and C is #pi/12#, what is the length of side A?
  
• What is the distance between #(-10, 6)# and #(5, 2) #?
  
• What is the slope of any line perpendicular to the line passing through #(15,-12)# and #(24,27)#?
  
• What is the sum of the geometric sequence 1, 4, 16, … if there are 8 terms?
  
• The length of a rectangle is half of its width. The perimeter of the rectangle is 90 cm. What are the dimensions of the rectangle?
  
• A charge of #4 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #27 J# to #3 J#, what is the voltage between points A and B?
  
• What is the slope of any line perpendicular to the line passing through #(14,19)# and #(12,15)#?
  
• How do you find the slope & y-intercept of the equation #y = -2x + 3#?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #15 #, #16 #, and #12 #?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #4 #, #6 #, and #3 #?
  
• A triangle has sides with lengths of 5, 8, and 3. What is the radius of the triangles inscribed circle?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #pi/6# and the angle between sides B and C is #pi/12#. If side B has a length of 3, what is the area of the triangle?
  
• A circle's center is at #(3 ,4 )# and it passes through #(0 ,2 )#. What is the length of an arc covering #( pi ) /6 # radians on the circle?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #9 #, #4 #, and #8 #?
  
• What is the slope of any line perpendicular to the line passing through #(4,-7)# and #(1,-12)#?
  
• A circuit with a resistance of #6 Omega# has a fuse melts at #5 A#. Can a voltage of #32 V# be applied to the circuit without blowing the fuse?
  
• How do you find the x and y intercepts for # y=3x-2 #?
  
• How do solve the following linear system?: # 3x – 2y = 7 , 11x + 3y + 7 = 0 #?
  
• What is the distance between #(2 ,(7 pi)/6 )# and #(3 , (- pi )/8 )#?
  
• How do you find the roots, real and imaginary, of #y=4x^2 +x -3-(x-2)^2 # using the quadratic formula?
  
• A triangle has sides A, B, and C. If the angle between sides A and B is #(pi)/6#, the angle between sides B and C is #(5pi)/12#, and the length of B is 2, what is the area of the triangle?
  
• What is the distance between #(10, 8)# and #(-10, 6) #?
  
• How do you convert #( 1 , - sqrt3 )#into polar coordinates?
  
• What is the slope of any line perpendicular to the line passing through #(-12,14)# and #(-13,1)#?
  
• How do you convert #(sqrt(3), 1)# into polar forms?
  
• How do you find the asymptotes for #(x-3)/(x-2)#?
  
• What is the force, in terms of Coulomb's constant, between two electrical charges of #24 C# and #32 C# that are #12 m # apart?
  
• What is the complex conjugate of ##?
  
• What is the centroid of a triangle with corners at #(4 , 1 )#, #(3 , 2 )#, and #(5 , 0 )#?
  
• What is the distance between #(0, 0, 8) # and #(8, 6, 2) #?
  
• What is the difference between medians, perpendicular bisectors, and altitudes?
  
• ?How do you find the sum of the infinite geometric series 4 + 0.4 + 0.04 + ....?
  
• Two charges of # -6 C # and # 4 C# are positioned on a line at points # -2 # and # 9 #, respectively. What is the net force on a charge of # -1 C# at # 1 #?
  
• How do you convert #(3sqrt3, - 3)# from rectangular coordinates to polar coordinates?
  
• How do you divide #( -i-5) / (i -6 )# in trigonometric form?
  
• How do you solve #-x/3-5=2x#?
  
• What is the equation of the line perpendicular to #y=-5/8x # that passes through # (-6,3) #?
  
• 27 identical drops of water are equally and simillarly charged to potential V.They are then united to form a bigger drop.The potential of the bigger drop is??Thank u!!
  
• What is the noun in the sentence "Justin told me to work on my book."?
  
• How much work does it take to raise a #7 kg # weight #28 m #?
  
• A charge of #-2 C# is at the origin. How much energy would be applied to or released from a # 4 C# charge if it is moved from # (7 ,5 ) # to #(3 ,-2 ) #?
  
• What is the distance between the following polar coordinates?: # (4,pi), (5,pi) #
  
• A triangle is both isosceles and acute. If one angle of the triangle measures 36 degrees, what is the measure of the largest angle(s) of the triangle? What is the measure of the smallest angle(s) of the triangle?
  
• The force of repulsion that two like charges exert on each other is 3.4 N. What will the force be if the distance between the charges is increased to 4 times its original value?
  
• A circuit with a resistance of #4 Omega# has a fuse melts at #6 A#. Can a voltage of #12 V# be applied to the circuit without blowing the fuse?
  
• A charge of #-2 C# is at #(6 , -5 )# and a charge of #-3 C# is at #(3, 5 ) #. If both coordinates are in meters, what is the force between the charges?
  
• A charge of #24 C# passes through a circuit every #6 s#. If the circuit can generate #8 W# of power, what is the circuit's resistance?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #1 #, #2 #, and #2 #?
  
• What is the Cartesian form of #(24,(15pi)/6))#?
  
• A charge of #24 C# passes through a circuit every #6 s#. If the circuit can generate #8 W# of power, what is the circuit's resistance?
  
• How do you solve the inequality #4.5x - 3.8 ≥ 1.5x - 2.3#?
  
• Is #f(x)=-x^3+2x^2-4x-2# concave or convex at #x=0#?
  
• An object with a mass of #7 kg# is hanging from a spring with a constant of #2 (kg)/s^2#. If the spring is stretched by # 8 m#, what is the net force on the object?
  
• How much power is produced if a voltage of #12 V# is applied to a circuit with a resistance of #72 Omega#?
  
• What is the slope of the line passing through #(1,-1); (4,7)#?
  
• How do you find the x and y intercepts for #y=x#?
  
• How do you multiply # (2-3i)(-3-7i) # in trigonometric form?
  
• Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 58.5 degrees. What are the measures of the small and large angle?
  
• What is #sqrt(-16)#, written in the form #a+bi#?
  
• What is #(-17pi)/12 # radians in degrees?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #7 #, #4 #, and #9 #?
  
• How do you divide # (2+i)/(3+7i) # in trigonometric form?
  
• What is the slope of the line passing through the following points: # (0,2) ; (-1, 5)#?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #1 #, #1 #, and #2 #?
  
• Can the sides of a triangle have lengths 46, 50, and 15?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #7 #, #5 #, and #7 #?
  
• How do you find the polar coordinate of the following point (-2, 5)?
  
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