Find the degree measure of an angle whose complement is 25% of its supplement.
60°
100
Solve for all values of x:
x3 - 3x2 + 4x - 12 = 0
x = 3, 2i, -2i
100
Solve for x:
x4 - 12x3 + 54x2 - 108x + 80
x = 2, 4, 3 + i, 3 - i
200
Triangles ABC and ADC are isosceles with AB=BC and AD=DC. Point D is inside triangle ABC, angle ABC measures 40 degrees, and angle ADC measures 140 degrees. What is the degree measure of angle BAD?
50°
200
Factor Completely:
x8 + 9x6 - x2 - 9
(x - 1)(x + 1)(x2 + x + 1)(x2 - x + 1)((x2 + 9)
200
Solve for x:
log2x = log43x
x = 3
200
Victor is pouring maple syrup into an ice cream cone. The cone has a radius of 4 cm and a depth of 10 cm. If Victor pours syrup at a rate of 2 cm3/sec, how fast is the height of the syrup rising when it is 5 cm?
1/(2pi) cm/s
300
In Triangle ABC, Angle A has a measure of (x2 + 25)°. Angle B has a measure of (35 - 3x)°. If angle C has a measure of 50°, what is the value of x?
x = -7, 10
300
Solve the equation:
|x + 3| = |2x - 3|
x = 0,6
300
Tony launches Daniel upward. David is stationary standing 500 m away and observes Daniel's launch. If the angle between David's eyes and Daniel change at a rate of 0.14 rad/s, when David's eyes make a 45° angle with Daniel, how fast is Daniel rising?
140 m/s
400
Find all possible values for x.
|2x - 5| < x + 1
4/3 < x < 6
400
Solve for x:
5 = 4-2x - 4-x+1
x = - log45
500
Factor Completely: x4 + x2 + 1
(x2 + x + 1)(x2 - x + 1)
500
Write a polynomial equation with integer coefficients in standard form given that it's roots are 3, 4, 1 + 3i, 1 - 3i
x4 - 9x3 + 36x2 - 94x + 120
500
A 6ft tall man is walking 5 m/s away from a street light that is 15m from the ground. When the man is 10m away from the light at what rate is the length of his shadow is changing?