Transformations in the Plane
Triangle DEF has coordinates D(4, –1), E(5, 2), and F(1, 2). Determine the coordinates of the vertices of the image after the transformation.
Reflection in the x-axis
D'(4, 1), E'(5, -2), and F'(1, -2)
A circular track has a diameter of 28 meters. Find its exact circumference and then approximate it to the nearest tenth.
about 87.9 meters
How do I know if a 3-D figure is a polyhedron or not?
Give one example of a polyhedron.
Give one example of a non-polyhedron figure.
If the 3-D figure is made entirely of flat polygonal regions.
Pyramid
Cylinder
A half-inch diameter steel cable is rated to have a breaking strength of 11.4 tons. A laboratory test shows an actual breaking strength of 10.9 tons. What is the approximate error
0.5 ton
Originally, Amazon only sold what kind of product?
Books
Triangle DEF has coordinates D(4, –1), E(5, 2), and F(1, 2). Determine the coordinates of the vertices of the image after the transformation.
translation along the vector (1,0)
D'(5, -1), E'(6, 2), F'(2, 2)
A rectangular soccer field has a perimeter of 360 meters. If the length is 100 meters, what is the width of the field?
80 meters
Calculate the surface area and volume of a sphere with a radius of 6 cm.
SA = about 452.39
V = about 904.78
The city utility department used two meters to measure 10,000 gallons of water passing through a water main. What is the approximate error for each meter?
a. Meter A measured 10,240 gallons.
b. Meter B measured 9900 gallons.
a. 240
b. 100
What is the only NFL team with a plant for a logo?
Saints (Stylized lily)
Triangle ABC has coordinates A(2, 0), B(–1, 5), and C(4, 3). Determine the coordinates of the vertices of the image after the transformation.
translation along the vector (3, –4)
A'(5, -4), B'(2, 1), & C'(7, -1)
The perimeter of a rectangular field is 260 m. If its length is 90 m, find its width.
40 m
Find the total surface area and volume of a cylinder that has a radius of 3 cm and a height of 7 cm.
V = about 197.92 cm
A coffee maker manufacturer claims that the customer will get 48 six-ounce cups of coffee from a one-pound bag of coffee. A survey of 7 customers reveals that actual cup counts by the customers of 49, 50, 53, 47, 45, 42, and 53. Is the manufacturer’s claim accurate? Is the manufacturer’s claim precise? Explain your reasoning.
The advertisement is not accurate because customers do not get 48 cups consistently. The advertisement is not precise because actual results vary dramatically.
What year did Facebook launch?
2004
Triangle JKL has coordinates J(2, –5), K(–1, –3), and L(–4, 5). Determine the coordinates of the vertices of the image after the transformation.
rotation 180° about the origin
J'(–2, 5), K'(1, 3), and L'(4, –5
Find the cost of fencing a square park of side 250 m at the rate of $ 20 per meters.
20,000
The city required the owner of a building supply store to place 6 inches of gravel in an unpaved area of the parking lot. The gravel will cover a rectangular area 100 feet wide and 200 feet long.
a. How many cubic feet of gravel did the owner have to purchase?
10,000 ft
One bale of cotton is represented as weighing 225 kilograms. A manufacturer purchases ten bales, which weigh a total of 2264 kilograms. What is the approximate error?
14 kg
What was the first film to release a soundtrack?
Snow White (1938)
Triangle JKL has coordinates J(–1, 5), K(1, 2), and L(–3, –1). Determine the coordinates of the vertices of the image after the transformation.
90 degree rotation counterclockwise
J'(–5, –1), K'(–2, 1), and L'(1, –3)
The side of a square plot of land is 35 m. Find the cost of levelling the plot, if the rate is $ 4 per square meter.
$4900
An amusement park is building a new Ferris wheel with a vertical diameter of 48 meters. If the structural design will allow gondola seats every 5 meters around the circumference, what is the maximum number of seats the Ferris wheel can have?
30 seats
A supplier of printer paper advertises that its large box of paper contains 2500 sheets of printer paper. A random sample of 5 boxes determines that there were actually 2490, 2490, 2490, 2491, and 2491 sheets in the boxes checked. How accurate and precise is the supplier’s claim? Explain your reasoning.
The sample is precise because there are consistently 2490 or 2491 sheets in each box. However, the sample shows the supplier is not accurate when claiming 2500 in each box.
In Disney's Cinderella, what are the names of Cinderella's two stepsisters?
Anastasia and Drizella