Parallel and perpendicular lines
What is the slope of a line that is perpendicular to
2x+3y=8
3/2
(x,y) (x-3, y-5)
What type of transformation is this?
Translation
What is the sum of the exterior angles of a pentagon?
360
Determine the length of a leg of a 45-45-90 triangle with a hypotenuse length of 11.
11 radical 2 divided by 2
About how many cubic centimeters of roasted peanuts will completely fill a paper cone that is 14 centimeters high and has a base of 8 centimeters? Round to the nearest tenth.
234.6
What is the slope?
(4,5) (7,6)
1/3
A triangle has coordinates A (-4,0) B (-3,4) and C (-1,1). What would the coordinate of A be after a 270 degree counterclockwise rotation
(0,4)
What is the sum of the measures of the interior angles of a decagon?
144
David is building a bike ramp. He wants the angle that the ramp makes with the ground to be 20 degrees. If the board he wants to use for his ramp is 3.5 feet long, about how tall will the ramp need to be at its highest point?
about 12 feet
Cement is poured into a hemisphere that is 6 cm across. What is the volume of cement used?
(Hemisphere is 1/2 a sphere)
56.5 cm3
Write an equation in point-slope form of the line having the given slope that contains the given point.
m=5 (4,3)
y-3=5(x-4)
Point N has coordinates (4,-3). What will the coordinates be of its image after a reflection across the y axis?
(-4,-3)
If the measure of an interior angle of a regular polygon is 60, how many sides does it have?
3
Find the cosine of the smaller acute angle in a triangle with side lengths of 10, 24 and 26 inches.
0.92
Find the volume of a cone that has a radius of 1 cm and a height of 3.4 cm.
3.6 cm3
Write the equation in slope intercept form of a line that passes through (-7,-4) and is perpendicular to y=1/2x+9
y=-2x-18
Find the measure of each exterior angle of a hexagon.
60
The crossbar o f a goalpost is 10 feet high. If a field goal attempt is made 25 yards from the base of the goalpost that clears the goal by 1 foot, what is the smallest angle of elevation at which the ball could have been kicked to the nearest degree?
(p. 581)
8
One cylinder has a radius of 4 inches and a height of 3 in. Another cylinder has a radius of 12 inches and a height of 9 inches. What is the scale factor of the cylinders?
1/3
or
3
Find the value of "n" so that the line perpendicular to the line with the equation -2y+4=6x+8 passes through points at (n, -4) and (2,-8)
n=-10
The sum of the measures of the interior angles of a polygon i twice the sum of the measures of its exterior angles. What type of polygon is it?
Hexagon
A lifeguard is watching a beach from a line of sight 6 feet above the ground. She sees a swimmer at an angle of depression of 8 degrees. How far away from the tower is the swimmer?
(p.581)
43 ft.
Janet and Mateo each have the same type of MP3 player, but in different colors. The players are congruent rectangular prisms. The volume of Janet's player s 4.92 cubic inches, the width is 2.4 inches, and the depth is 0.5 inches. What is the height of Mateo's player?
4.1 inches