Irrational Numbers
What is pi most commonly simplified to?
3.14
What 3 things make up an angle?
Ray 1, Ray 2, and a Vertex
What is the formula for area of a quadrilateral?
Length x Width = Area
What is the difference between a 2-dimensional shape and a 3-dimensional shape?
2-dimensional shapes are flat and 3-dimensional shapes are solid
What is a right triangle made up of?
Leg A, Leg B, and a hypotenuse
Which one's greater, the square root of 2 or the square root of pi?
The square root of pi: the square root of 2 is rounded to 1.44 and the square root of pi is rounded to 1.77
Jack is a floor fitter who's installing new carpet in Ms. Carlson's living room. Her living room is a perfect square that measured 15 feet in length and width. The carpet sample Jack chose from the hardware store is also a perfect square that measured 3 inches in length and width. How many sample squares make up the living room?
Bigger square is 15 ft x 15 ft = 225 ft.2. Smaller square is 3 in x 3 in= 9 in.2. Convert 225 ft.2 into square inches. It's 2700 in.2. Divide 2700 by the 9 in. squares and you have 300 3 x 3 in. squares.
What is the area of a triangle with a base of 5 inches and the height of 32 inches?
A= h x b/2: 32 x 5/2 = 80
A= 80 inches
What shape has 5 sides?
Pentagon
List each formula used to solve the Pythagorean Theorem of each side?
Leg a: a= the square root of c2 - b2
Leg b: b= the square root of c2 - a2
Hypotenuse: the square root of a2 + b2
List 3 different irrational number symbols (you get half the score if you list 1 and full points if you list 2 or 3).
Pi, Euler's number, and Phi (or the golden ratio).
Define: parallel, perpendicular, intersection, transversal, and obtuse (full points if at least 3 are listed, 50 point bonus if all are listed).
Parallel: Lines across each other at same distance between them. Perpendicular: A 90 degree angle of where two lines meet. Intersection: Two lines meet without meeting at a 90 degree angle. Transversal: A line intersecting a system of lines. Obtuse: An angle that's higher than 90 degrees and lower than 180 degrees.
What is the area of a circle with a circumference of 90 meters (pi is 3.14 for this problem and round answer to the nearest hundredth)?
A = C2/ 4pi -> A= 902/4(3.14)-> A= 8100/12.56
A= 644.91 meters
What shape has is 3D, has 5 faces, and has its horizontal cross-section shape as a square?
A pyramid
Solve for leg a in a triangle with b= 24 inches and the hypotenuse= 45 inches (round to the nearest whole).
a= 38 inches
Lucy's manager needs her to to cut a plank of wood that's 5 in.2 in length and a width of the square root of 10 in.2 to 5 decimal places. What is the width of the needed plank to 5 decimal places?
Right click and load image in a new tab
Ostin built a roller robot that can travel 100 inches when set at a speed of 2 m/s. How far would the robot travel if the robot went 5 m/s, without any other variables involved? Convert the answer from inches to centimetre.
Set a proportion:
2 ( m per s)/ 100 (inches) = 5 (m per s)/ x (inches)
x= 250 (inches)
The robot can travel 635 centimetres when travelling at 5 m/s
Matthew is cooking a turkey in a large pot for a Thanksgiving lunch. The pot is 3 feet high and 2 feet in diameter. He put half chicken broth, half water. How much liquid can the pot hold alone (pi is 3.14 in this problem and round answer to the nearest hundredth)?
A= pir2h -> A= (3.14)(1)2(3) -> A= 29.5788
A= 29.58 ft.3
Which 3D shape has 12 edges, 6 faces, and every face was a parallelogram?
A parallelepiped (pair-a-lel-a-pie-ped)
Solve for b in a triangle with a hypotenuse of 65 feet and with leg a= 33 feet.
b= 56 feet
This is question just had to be asked for this cell. What number is pi to the 25th decimal? (you get half points if you get at least 10 decimals right, you get full points if you have at least 20 decimals right, you get 50 extra points if you get all of them right)
3.1415926535897932384626433
The sum of the interior angles for a decagon is 1,440 degrees. What is the angle for each interior angle of a decagon?
144 degrees.
Joel is making chocolate truffles for a bake sale and wants to make two different sizes for variety. For truffles A, he made them with a radius of 3 inches. For truffles B, he made them with a diameter of 4 inches. He wants to charge 90 cents per inch of the surface area (to the nearest whole) What is the surface areas of truffles A and B? How much does Joel charge for each truffle for sets A and B? Pi is 3.14 and round answer to the nearest whole.
A = 4pir2 a: A = 4 x 3.14 x 32 -> A= 113.04 inches2
b: A = 4 x 3.14 x 22 -> A = 50.24 inches2
a price is: 113 x 90 -> 10170 cents -> $101.70
b price: 50 x 90 -> 4500 -> $45.00
What is a dodecagon?
A 2D shape with 12 sides
List the angles for a right triangle.
3 angles of a triangle equal 180 degrees. There's a right angle, which is 90 degrees. Then the other two are both 45 degrees