The aspect ratio of a tv screen is the ratio of the measure of the horizontal length to the measure of the vertical length. Find the horizontal length and vertical height of a tv screen with an aspect ratio of 4:3 and a diagonal of 50 inches.
What are horizontal length = 40 inches and vertical length = 30 inches
100
a set of numbers is as follows
1,3,5,82,100,54,73,12
calculate the mean and median
What is mean = 41.25 median = 33
100
A block weighing 1 kg moving at 10 m/s collides inelastically with a second block of equal weight that is initially stationary. What is the final speed of the two balls.
A: 5 m/s
B: 5 m/s
200
which shape with a side length of 6 will have a greater area?
pentagon
hexagon
octagon
dodecahedron
What is a dodecahedron
200
If a = b^(2/3) and b = c^(-2), this is the value of a in terms of c
What is 1/ cuberoot(c^4)
200
You are told to make a playlist of 3 songs from a music library of 5 hip-hop songs, 4 love songs, and 3 old-school songs. The first song must be an old-school song while the 2nd and 3rd songs on the playlist must be either a hip hop or a love song. If you are not allowed to repeat songs, How many different playlists can you make?
what is 216 playlists
200
A bag contains 6 marbles: 1 red marble, 3 yellow marbles, and 2 blue marbles. If you take one marble out, put it back, and take another marble out, this is the probability that you'll get 1 blue marble followed by 1 red marble. (express in fraction form)
What is 1/18
200
A car is driving around a circle with radium 100m at 30 m/s. What is the centripetal acceleration.
a = v^2/r = 9 m/s^2
300
Find the dimensions of the rectangle that has a length 3 meters more that its width and a perimeter equal in value to its area?
What is W = 3 and L = 6
300
Solve |-2x + 2| -3 = -3 for x
add 3 to both sides
|-2x + 2| = 0
What is x = 1
300
There are 600 pupils in a school. The ratio of boys to girls in this school is 3:5. How many girls and how many boys are in this school?
What is 375 girls , 225 boys
300
A bag contains 9 balls: 4 red balls, 4 yellow balls, and 1 blue ball. If you take two balls at the same time, this is the probability that you'll get 1 blue ball and 1 yellow ball?
(express in fraction form)
What is 7/90
300
A block weighs 100 kg and is sitting on a surface with coefficient of static friction 0.4. This is how much force is needed to slide the block.
F =.4*100kg*9.8m/s^2 = 392 N
400
What is one half of the area of a rectangle with diagonal length 5 cm and one side length of 3 cm.
What is 6 cm
400
This is the distance between the points (-4,-5) and (-1,-1)
What is
d = sqrt[ (-1 - -4) 2 + (-1 - -5) 2 ]
d = 5
400
If a tired parent is sitting down while their child runs around them in a circle at 3 m/s and the child is 10 meters from the parent, this is APPROXIMATELY the angle from the child the parent must move to catch the child on their circular path. The parent can roll their chair at 2 m/s
What is approx 90 degrees or
exactly 1.5 radians
400
The angles of a triangle are in the ratio 1:3:8. Find the measures of the three angles of this triangle.
What is 15 degrees, 45 degrees and 120 degrees
400
A penny is dropped from 45 m. This is the top speed of the penny upon hitting the ground.
Assume no air resistance and if necessary, use 10m/s^2 for g.
mgh = 1/2mv^2
v = sqrt(2*g*h) = 30
500
this is [sin^2(x)+cos^2(x) ] * tan(pi/4 radians)
What is 1
500
What is the equation of the line that is perpendicular to 4x-2y=6, and runs through the point (12,18)
What is y= -(1/2)x + 24
500
A car is traveling at 60 mph and is tailgating another car at distance of only 30 ft. If the
reaction time of the tailgater is 0.5 seconds (time between seeing the brake lights of the
car ahead flash and hitting the brake), This is how far his car will travel during his reaction time.
What is 44 feet
500
A five card hand is drawn from a standard 52 card deck. This is the probability that the first and fifth cards are kings and the second, third, and fourth are anything BUT a king. (no simplification is necessary)