Measurement
Convert 63 cm to inches.
25.2 in
A birdwatcher spots an eagle at the top of a 20-m tree. The birdwatcher is lying on the ground 50 m from the tree. At what angle must he incline his camera to take a photograph of the eagle? Give the answer to the nearest degree.
22
Factor out the greatest common factor:
14b3c2 - 21b2c
7b2c (2bc - 3)
Is this a function:
(1,1), (2,8), (3, 27), (3, 64)
No
Write an equation in slope intercept form to describe a slope of 3 and y-intercept of -1.
y = 3x -1
Ryan drove 19 km to watch a basketball game. Julie drove 11 miles to see the same game. Who drove farther?
Ryan
A guy wire helps to support a tower. The angle between the wire and the level ground is 56°. One end of the wire is 15.4 m from the base of the tower. How high up the tower does the wire reach to the nearest tenth of a meter?
22.8 m
Expand and simplify:
(k - 4) (k + 11)
k2 + 7k - 44
Using the function C(i)= 2.54i
Determine the value of C(12).
30.48
What is the slope and coordinate points.
y -5 = -4 (x -1)
m= -4
(1,5)
A sphere has a diameter of 14 mm. What is the volume and surface area of the sphere?
V= 1436.76 mm3
An airplane approaches an airport. At a certain time, it is 939 m high. Its angle of elevation measured from the airport is 19.5°. To the nearest meter, how far is the plane from the airport?
2813 m
Factor:
x2 + 6x + 8
(x + 4) (x + 2)
Using the function T(d) = 10d + 20
Determine the value of d when T(d) = 50
3
Write this equation in general form. y = -2x + 6
2x + y -6 = 0
A pyramid has a volume of 120 cm3. If the square base has a length and width of 5 cm what is the height of the pyramid?
14.4 cm
A bookcase is built against the sloping ceiling of an attic. The base of the bookcase is 3.24 m long. The angle of inclination of the attic ceiling is 40°. What is the length of the top of the bookcase, measured along the attic ceiling?
4.23 m
Factor:
4x2 - 7x + 3
(4x - 3) (x - 1)
Determine the slope of the line that passes through (-5,-3) and (2,1).
Slope = 4/7
3x + 2y - 18 = 0
Find the x and y intercepts.
x int (6, 0)
y int (0, 9)
An ice cream cone is to be coated with chocolate on the inside. THe cone has an interior diameter of 7.5 cm and an interior height of 10.0 cm. What is the area to be coated?
SA= 125.82 cm2
A ship is sailing off the south coast of the Queen Charlotte Islands. At a certain point, the navigator sees the beacon at Cape St. James, due north of the ship. The ship then sails 2.4 km due west. The angle between the ship’s path and the line of sight to the beacon is 41.5°. How far is the ship from the beacon?
3.20 km
Factor:
2x2 - 128
2 (x - 8) (x + 8)
What type of test can be used on a graph to determine if a function is present?
Vertical Line Test
Find the solution set.
5x + y = 4
x + y = 2
(0.5, 1.5)