Geometry
Find the area of a triangle with vertices A(1, 1), B(4, 1), and C(4, 5).
6 sq. units
A die is rolled. What is the probability of getting a number greater than 4?
1/3
Find the x: 3x+7=16
x=3
Who is known as the father of geometry?
Euclid
One angle in a regular pentagon is missing. Find its measure.
108°
A bag contains 3 red balls, 5 blue balls, and 2 green balls. One ball is picked at random. What is the probability it is not blue?
1/2
Find the x: 3x−4=2x+6
10
Who is considered the king of mathematics?
Leonhard Euler
In a circle, a chord is 12 cm long and 5 cm away from the center. Find the radius of the circle.
7.81 cm
A committee of 3 people is to be selected from a group of 5 men and 4 women. What is the probability that the committee has at least 2 women?
17/42
Factor it: x2+5x+6
(x+2)(x+3)
Where was the number 0 invented?
ancient india
A frustum of a cone has a lower radius of 6 cm, upper radius of 3 cm, and height of 4 cm. Find the volume. (π ≈ 3.14)
263.76 cm³
A student takes 3 subjects: Math, English, and Science. The probability that the student gets an A in Math is 0.7, in English is 0.6, and in Science is 0.8. The probability that the student gets a 400-A in both Math and Science is 0.56, in both Math and English is 0.42, and in both English and Science is 0.48. The probability that the student gets an A in all three subjects is 0.35. Given that the student got an A in Math, what is the probability that they also got an A in English?
0.6
Find the x: (x+1)/(2x−3) = 2/(x+2)
1 + (-√31i)/2
where was the earliest evidence of math found?
Mesopotamia
A sphere is sliced to create a spherical cap (segment) with height 4 cm and radius of the sphere 7 cm. Find the curved surface area of the cap. (Use π ≈ 3.14)
175.84 cm²
If the probability of seeing a car on the highway in 30 minutes is 0.95, what is the probability of seeing a car on the highway in 10 minutes? (assume a constant default probability)
0.632
Factor completely: 2x3+3x2−2x−3
(x−1)(x+1)(2x+3)
Who was considered the fastest human calculator?
Scott Flansburg