Transformations
What is the transformation that changes the size of a figure?
dilation
The Pythagorean Theorem is useful to...
Calculate missing side lengths of a right triangle
How do you calculate the volume of a hemisphere?
Find the volume of a sphere and divide it by 2
The term for a data point that is separate from the majority of the data.
outlier
A positive number x a negative number equals a...
negative number
What is the rule for reflecting a figure over the x-axis?
The x stays the same and the y takes the opposite sign
What are the proper names for the side lengths of a right triangle and what letters in the Pythagorean Theorem represent them?
Legs (a and b) and the hypotenuse (c)
Calculate the volume of a rectangular pyramid whose base area measures 54 m2 and has a height of 7.5 m.
V=135 m3
The 3 types of association we learned about
positive, negative, or no association
True or false: pi is an irrational number
True
Using words, describe the translation occurring with the following rule:
(x,y)---->(x-3, y+9)
move left 3 units and up 9 units
A right triangle has side lengths a=6 feet and b=8 feet. Find the length of the longest side, c.
c=10 feet
Calculate the volume of a cone with a diameter of 4 inches and a height of 8 inches. Use 3.14 for pi and round your answer to the nearest tenth.
V=33.5 in3
Trend lines are useful because...
they help make predictions
Given the following set of ordered pairs, determine if they represent a function. If they are not, why?
(3,5) (9,0) (2,2) (3,0)
not a function, repeat 3's
Point E is located at (12,18) a dilation is applied and it is now located at (4,6). What was the scale factor of the dilation?
k=1/3
A right triangle has side lengths b=6 cm and c=12 cm. Calculate the length of the missing side a. Round your answer to the nearest tenth.
a=10.4 cm
Calculate the surface area of a hemisphere with a radius of 3 yards. Write your answer in terms of pi.
S.A.=27pi yd2
Identify the data set as having positive, negative, or no correlation:
The age of a car and the value of a car
negative correlation
If 2 parallel lines are graphed on one coordinate plane, what can be said about their solution?
They never intersect = no solution
Triangle ABC has vertices A(2,4) B(-1,-7) and C(-3,5). It is rotated 90 degrees clockwise. What are the new coordinates of the vertices after the transformation?
A'(4,-2) B'(-7,1) and C'(5,3)
You're locked out of your house and the only open window is on the second floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There's a bush along the edge of the house, so you'll have to place the base of the ladder 10 feet from the house. What length of ladder do you need to reach the window? Round your answer to the nearest whole number.
27 feet
A triangular pyramid has a volume of 297 cubic meters. The area of its base is 49.5 square meters. Find the height of the pyramid.
h=18 meters
Deklan collected data based on the number of hours his friends practiced their instruments (x value) versus the score they received on a playing test (y value). He came up with the equation y=3x+40 for his trend line. Interpret the y-intercept in the context of the problem.
the score they would receive with 0 hours of practice
Using exponent rules, simplify the following: 3t2 x 7t5
21t7