Arrange the following numbers in order from smallest to greatest.
–24; 6; –9.5; –33.5; 0; 3; –49; 9.3; –0.8; 0.95; –8.95
____________________________________________________________
Add the following numbers.
(-15) + (+21) = __________________
(+30) + (-12) = __________________
(-52) + (+17) = __________________
(+11) + (-15) = __________________
(-24) + (+17) = __________________
(-18) + (+35) = __________________
(-61) + (-46) = __________________
(+49) + (-23) = __________________
(+19) + (-22) = __________________
(-27) + (0) = __________________
(-39) + (+39) = __________________
Although Mr. Smith has already overdrawn his bank account by $412, he writes out a check for $193. What is the new balance for his bank account?
Answer: _______________________
© 2018 Laura Glassel – lizzietutoring.blogspot.com
Tuesday, March 27, 2018
Tuesday, March 20, 2018
New Worksheet - Trigonometry
formulas:
(hypotenuse)^2 = (side 1)^2 + (side 2)^2
sin θ = opposite side / hypotenuse
cos θ = adjacent side / hypotenuse
tan θ = opposite side / adjacent side
Problems:
1. Jane, whose eyes are 5 feet off the ground is standing 45 feet away from the base of a building. She looks up at a 78 degree angle of elevation to a point on the edge of the building's roof. How tall is the building?
Answer: _______________________
2. A pilot is traveling at a height of 25,000 feet above level ground. He looks down at an angle of depression of 7 degrees and spots the run way. As measured along the ground, how many miles is he away from the runway?
Answer: _______________________
3. A dog, who is 9.5 meters from the base of a tree, spots a squirrel at an angle of elevation of 42 degrees. What is the direct line distance between the dog and the squirrel?
Answer: _______________________
4. A ship is on the surface of the water, and its radar detects a submarine at a distance of 242 feet, at an angle of depression of 25 degrees. How deep underwater is the submarine?
Answer: _______________________
5. The sun is at an angle of elevation of 62 degrees. A tree casts a shadow 25 meters long on the ground. How tall is the tree?
Answer: _______________________
6. A 5’10” man stands 13 feet away from a building. Using a protractor to measure the angle between himself and the top of the building, he gets an angle of 37 degrees. How high is the building?
Answer: _______________________
7. A road bed rises 274 feet for each 3125 horizontal feet of road. Find the angle of inclination of the roadbed.
Answer: _______________________
© 2018 Laura Glassel – lizzietutoring.blogspot.com
(hypotenuse)^2 = (side 1)^2 + (side 2)^2
sin θ = opposite side / hypotenuse
cos θ = adjacent side / hypotenuse
tan θ = opposite side / adjacent side
Problems:
1. Jane, whose eyes are 5 feet off the ground is standing 45 feet away from the base of a building. She looks up at a 78 degree angle of elevation to a point on the edge of the building's roof. How tall is the building?
Answer: _______________________
2. A pilot is traveling at a height of 25,000 feet above level ground. He looks down at an angle of depression of 7 degrees and spots the run way. As measured along the ground, how many miles is he away from the runway?
Answer: _______________________
3. A dog, who is 9.5 meters from the base of a tree, spots a squirrel at an angle of elevation of 42 degrees. What is the direct line distance between the dog and the squirrel?
Answer: _______________________
4. A ship is on the surface of the water, and its radar detects a submarine at a distance of 242 feet, at an angle of depression of 25 degrees. How deep underwater is the submarine?
Answer: _______________________
5. The sun is at an angle of elevation of 62 degrees. A tree casts a shadow 25 meters long on the ground. How tall is the tree?
Answer: _______________________
6. A 5’10” man stands 13 feet away from a building. Using a protractor to measure the angle between himself and the top of the building, he gets an angle of 37 degrees. How high is the building?
Answer: _______________________
7. A road bed rises 274 feet for each 3125 horizontal feet of road. Find the angle of inclination of the roadbed.
Answer: _______________________
© 2018 Laura Glassel – lizzietutoring.blogspot.com
Tuesday, March 6, 2018
New Worksheet - Science - Conversions
formulas:
1 in = 2.54 cm
1 slug = 14.59 kg
1 gal = 3.79 L
Convert the following:
1. 250 m into km
Answer: _______________________
2. 300 cm into mm
Answer: _______________________
3. 256 mg into g
Answer: _______________________
4. 45.6 cm into m
Answer: _______________________
5. 3 years into hours
Answer: _______________________
6. 355 mm into inches
Answer: _______________________
7. 19 cm into inches
Answer: _______________________
8. 200 kg into slug
Answer: _______________________
9. 13.5 gal into L
Answer: _______________________
10. 234 mL into gal
Answer: _______________________
11. 10 kg into slug
Answer: _______________________
12. 22.3 cm into feet
Answer: _______________________
13. 52 mL into gal
Answer: _______________________
14. 1.0 L into mL
Answer: _______________________
© 2018 Laura Glassel – lizzietutoring.blogspot.com
1 in = 2.54 cm
1 slug = 14.59 kg
1 gal = 3.79 L
Convert the following:
1. 250 m into km
Answer: _______________________
2. 300 cm into mm
Answer: _______________________
3. 256 mg into g
Answer: _______________________
4. 45.6 cm into m
Answer: _______________________
5. 3 years into hours
Answer: _______________________
6. 355 mm into inches
Answer: _______________________
7. 19 cm into inches
Answer: _______________________
8. 200 kg into slug
Answer: _______________________
9. 13.5 gal into L
Answer: _______________________
10. 234 mL into gal
Answer: _______________________
11. 10 kg into slug
Answer: _______________________
12. 22.3 cm into feet
Answer: _______________________
13. 52 mL into gal
Answer: _______________________
14. 1.0 L into mL
Answer: _______________________
© 2018 Laura Glassel – lizzietutoring.blogspot.com
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