Volume
Surface Area
Pythagorean Theorem
Transformations
Angles
100
In a conical tank, the depth of water is 1.5 yards and radius of the water level is 0.5 yards. Find the volume of the water?
0.39 cubic yards
100
Jack stores his gloves in a locker. He wants to cover his locker in sticker paper to make it look blue. The sticker paper costs $0.03 per square inch. How much will cost to cover the locker in sticker paper? See picture for Surface Area 100
$6.60
100
The course for a local triathlon has the shape of a right triangle. The legs of the triangle consist of a 4-mile swim and a 1l mile run. The hypotenuse of the triangle is the biking portion of the event. How far is the biking part of the triathlon? Round to the nearest tenth if necessary.
10.8 mi
100
Write the algebraic rule for a rotation of 90 degrees
(x,y) becomes (-y,x)
100
What is the Exterior Angle Theorem?
exterior angle = the sum of the 2 remote angles
200
A metal pipe is 77 cm long and has a radius of 4 cm. How much sand will fill the pipe?
3868.48 cubic cm
200
Suppose a water tank in the shape of a right circular cylinder is thirty feet long and eight feet in diameter. How much sheet metal was used in its construction?
854.08 cubic feet
200
A ladder 17 feet long is leaning against a wall. The bottom of the ladder is 8 feet from the base of the wall. How far up the wall is the top of the ladder? Round to the nearest tenth if necessary
15 ft.
200
Write the algebraic notation for point (x,y) that is reflected over the x axis and then translated 2 units to the right and 4 units down
(x+2, -y-4)
200
What is the value of 5x? What is the value of x? What is the value of a? (see picture)
5x = 150 x = 30 a = 30
300
The diameter of an ice cream cone is 6 m and the height of the cone is 20 cm. How much ice cream will fill half of the cone?
94.2 cubic meters
300
CONTAINERS What is the total surface area of the inside and outside of a container in the shape of an equilateral triangular prism with a triangular base 5 meters on each side, area of base 10.8 square meters, and height of prism 2.2 meters? Round to the nearest tenth.
109.2 square meters
300
Find the distance between the points (REMEMBER THE CATEGORY IS PYTHAGOREAN THEOREM!!!!!!!!!) (See Picture)
5.8 UNITS
300
What transformation(s) preserve congruency? What transformation(s) do not preserve congruency?
Preserve: Rotations, Reflections and Translations Do not Preserve: Dilations
300
Find the measure of ∠4, if m∠7 = 72° (see picture)
108 degrees
400
A circle shaped water buoy has a diameter of 46 centimeters. How much water can it hold? round to the nearest tenth
50939.2 cubic centimeters
400
Find the lateral and total surface area (See Picture for Surface Area for 400)
142.2 square mm 163 square mm
400
A right triangle RST is drawn below. A square is drawn onto each side of the triangle. The area of square A is 26 cm², and the area of square B is 57 cm². Determine the length of side RT. Round your answer to the nearest hundredths place. (See Picture)
9.11 cm
400
What is the effect on the volume of a cylinder if the radius and the height are tripled?
the new volume is 8 times bigger
400
What is the value of x if angle 4 = 140 degrees and angle 5 = 2x (see picture)
x = 70
500
You are a distributor of Hunts tomato sauce. You need to ship the tomato sauce to retailers. The cans are 5 cm high, and have a diameter of 2.5 cm. How many of these cans could you pack into your car's trunk that is 6 feet long, 5 feet wide and 7 feet high?
8 cans
500
A tunnel over a highway is in the shape of half a cylinder as shown. Determine the lateral surface area of the inside of the tunnel. Do not include the bottom which is the highway. Round to the nearest tenth
15708 square feet
500
Tom is afraid of heights above 9 feet. He is asked to repair a side of a high deck. The bottom of a ladder must be placed 6 feet from a deck. The ladder is 10 feet long. How far above the ground does the ladder touch the deck? Is Tom afraid of the height?
8 feet no Tom will not be afraid
500
What are the coordinates of A' if point A(-2,5) is rotated 180 degrees and then translated 3 units to the left and 2 units up
(-1,-3)
500
What is the value of x (see picture)
12
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