Algebra
(2x2y)/4xy2 * 8x/y
4
Find the area of triangle with vertices A(0,0),B(4,0),C(0,3)
Area =1/2⋅4⋅3=6
sin30∘+cos60∘
1
Alexa's mother has 4 children: Alex, Ceasar, Oscar and who is the fourth one?
Alexa
A fair coin is flipped once. What is the probability of getting heads?
1/2
3/(x-2) + 2/(x+2) =1
find x
x=6; -1
x not equal +-2
A circle has radius 10. Find the arc length and sector area for a central angle 60.
Convert 60=π/3 rad. Arc length =rθ=10⋅π/3=10π/3.
Sector area =1/2r2θ=1/2⋅100⋅π/3=50π/3
tan45∘⋅cos90∘+sin260∘
3/4
What you can't eat to breakfast?
Dinner
A die is rolled once. What is the probability of getting an even number?
3/6=1/2
If f(x)=x2−4x+7, find the value of f(2a−1).
4a2−12a+12
Triangle ABC is right-angled at C. Hypotenuse AB=13, leg AC=5. Find BC
12
Emily has 5 brothers and each brother has 1 sister. How many people in this family?
6
A bag contains 5 red balls and 3 blue balls. One ball is chosen at random. What is the probability that it is blue?
3/8
Solve the quadratic equation: 2x2−5x−3=0
x=3
x=-1/2
In triangle, two sides are 7 and 9 with included angle 60∘. Find the third side.
c= root of 67
There is a round lake. We have an rounded ice at center of lake which freezes the lake 2 times everyday. Ice covers the lake at 14 days. How many days it take to ice cover the half of the lake?
13th
The marks of 5 students are 10, 15, 20, 25, 30. Find the mean.
20
x2+y2=25
x+y=1
Solve the system of equations using substitution or elimination
x= 4; -3
y=-3; 4
Triangle with side lengths 13,14,15. Find its circumradius R.
8.125
Why polar bears do not eat penguins?
Polar bears live in Arctica, while Penguins live in Antarctica
A card is drawn at random from a standard deck of 52 cards. What is the probability of drawing either a heart or a king?
13/52+4/52-1/52=16/52=4/13