Basic Math question and answers for August 22, 2024
- Q In 2011, there were 3223 sea otters in Monterey Bay, California. The bay isapproximately 77 square miles. To the nearest whole number, what was thedensity of the sea otter population?A....
- Q The top of a 5 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate of 3 feet per second. How fast is the bottom...
- Q LB. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether,...
- Q The height above ground (in feet) of a ball dropped from the top of a tall building after t seconds is given by the polynomial h=-16t^2 +53. What is the...
- Q A ladybug crawls around the outside of a rectangle that measures 12 cm by 15 cm. The ladybugstays exactly 1 cm from the rectangle at all times to form a...
- Q Car A leaves Santa Barbara at noon traveling south toward Los Angeles at 60 mph. At 1pm car B leaves Los Angeles traveling north toward Santa Barbara at 85 mph....
- Q An object is thrown upward at a speed of 52 feet per second by a machine from a height of 20 feet off the ground. The height h of the...
- Q A man standing 13 feet from the base of a lamppost casts a shadow 5 feet long. If the man is 6 feet tall and walks away from the lamppost...
- Q A ball is thrown from an initial height of 1 meter with an initial upward velocity of 7 m/s. The ball's height h (in meters) after f seconds is given...
- Q A ball is thrown from a height of 217 feet with an initial downward velocity of 17 ft/s. The ball's height / (in feet) after t seconds is given by...
- Q To measure a stone face carved on the side of a mountain, two sightings 850 feet from the base of the mountain are taken. If the angle of elevation to...
- Q A ball is thrown from an initial height of 3 meters with an initial upward velocity of 5 m/s. The ball's height / (in meters) after / seconds is given...
- Q (a) An angle measures 37. What is the measure of its supplement?(b) An angle measures 26. What is the measure of its complement?
- Q Distance Between Two Cargo Ships Ship A leaves port sailing north at a speed of 20 mph. A half hour later, Ship B leaves the same port sailing east at...
- Q You have an 11.5-meter giant friend who is standing at the top of a 1,010-meter mountain peak. What is the elevation at the top of your giant friend? Express in...
- Q When an object is dropped from a 1515 ft tower, the height of the object in feet after t seconds is given by the function f(t)= - 16t2 + 1515....
- Q The trip back took 26 hours. What is the speed of the boat in still water? What is the speed ofA boat traveled 520 miles each way downstream and back....
- Q The quadratic function that approximates the height of a javelin throw is below.Where t is the time in seconds after it is thrown and h is the javelin's height in...
- Q Find the distance between the two points listed below. Round to the nearest tenth.a. A(2, 5) and B(1,8)b. A(-4, 6) and B(-2,-2)c. A(8, 3) and B(9, -3)
- Q If K is the midpoint of JL, and JK = 8x + 11 and KL = 14x-1, find JL. JL=(
- Q A river flows northward at 7 miles per hour. A boat crosses westward at 3 miles per hour.a. Draw a diagram that shows the boat's resultant velocity in the river.b....
- Q A water trough is 800 cm long and a cross-section has the shape of anisosceles trapezoid that is 40 cm wide at the bottom, 90 cm wide atthe top and...
- Q A boat is pulled in to a dock by a rope with one end attached to thefront of the boat and the other end passing through a ring attached tothe...
- Q How high is a tree that casts a 32-ft shadow at the same time a 6-ft pole casts a shadow which is 10 ft long?The tree's height is(Round to the...
- Q A forest ranger is watching the progress of a forest fire spreading towards her from the top of a 3033-foot mesa. In 6 minutes, the angle of depression to the...
- Q A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 198 feet per second from an initial height of...
- Q At a point on the ground 12 ft from the base of a tree, the distance to the top of the tree is 3 ft more than 2 times the...
- Q The radius of the wheel on a car is 24 inches. If the wheel is revolving at 330 revolutions per minute, what is the linearspeed of the car in miles...
- Q Iron is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron were developed by an institute of medicine for a certain region. The recommended...
- Q As shown in the diagram below, the angle of elevationfrom a point on the ground to the top of the tree is 34.34If the point is 20 feet from the...
- Q Base your answer to the following question on The NuFone Communications Company must run a telephone line between two poles at opposite ends of a lake, as shown in the...
- Q Two observers are 2.4 miles apart on opposite sides of a hot-air balloon. The angle of elevation from observer A is 30 and the angle of elevation fromobserver B is...
- Q 6) From an airplane flying at a constant altitude over the ocean, the angle of depression to a tugboat is 24". At the samemoment the angle of depression to a...
- Q Tamika is 1.25 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 33.05 meters. She stands 28.9 meters away from the tree, so that...
- Q If h= - 16t + 112t represents the height of a rocket, in feet, t seconds after it was fired, when will the rocket hit the ground? (Hint: The rocket...
- Q A car travels 80 mi averaging a certain speed. If the car had gone 40 mph faster, the trip would have taken 1 hr less. Find the car's average speed.
- Q A parachutist's rate auring a free fall reaches 198 kilometers per hour.What is this rate in meters per second? At this rate, how many meterswill the parachutist fall during 10...
- Q A surveying crew has two points A and B marked along a roadside at a distance of 400 yd. A third point C is marked at the back corner of...
- Q 2. To measure the height of Lincoln's caricature on Mt. Rushmore, two sightings 800 feet from the base of the mountain are taken. If the angle of elevation to the...
- Q Find the length of the leg a of a right triangle with leg length b = 21.5 inches and the hypotenuse c = 31.9 inches. Use a calculator to estimate...
- Q Use the law of sines to solve the given problem..The loading ramp at a delivery service is 10.5 ft long and makes a 19.0 angle with the horizontal. If it...
- Q Scientists believe that the star Sirius (known as the Dog Star) is approximately 81.5 trillion kilometers from the earth. (Round your answers to one decimal place.)(a) How far, in astronomical...
- Q A jewelry maker works 6 days a week, makes 15 necklaces per day on average, and charges $18 a necklace. If she lowers her price to $10 a necklace, by...
- Q A hawk is hunting from the air. The hawk is 78 feet high and spots a rabbit that is a horizontal distance of 50 feet away. At what angle is...
- Q Use z scores to compare the given values.The tallest living man at one time had a height of 243 cm. The shortest living man at that time had a height...
- Q If a runner jogs 2 miles east and then jogs 4 miles north, how far is the runner from her starting point if she plans to run straight back? Remember...
- Q Jim's speedboat can travel 21.5 miles upstream against a 3-mph current in the same amount of time it travels 24.5 miles downstream with a 3- mph current speed. Find the...
- Q The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with an initial velocity of 21.5 m/s is h = 2 +...
- Q QuestionOn a grandfather clock, the pendulum arm swings a length of 1.4 feet each second.If the length of the pendulum is 4 feet, what is the measure of the central...
- Q Use synthetic division to find f(-5).f(x)=2x4-x-12x + 48x - 34.
- Q Riley bought a child admission ticket and6 funland ride tickets. He used a coupon for a$5 discount. Which expression shows Riley'stotal cost?A $12+ (6 $2)B$12 + ($6+$2) - $5C$12+(6xX $2)...
- Q Beatrice is using a cylinder shape container to hold 52 in of liquid. The height of the container is 4 inches tall.What is the best approximation for the radius of...
- Q Aiden borrows a book from a publiclibrary. He read a few pages on day one.On daytwo, he reads twice the number of pagesthan he read on day one. On the...
- Q A street light is at the top of a pole that is 10 feet tall. A woman 6 ft tall walks away from the pole with a speed of 4...
- Q Solve the problem.A building 150 feet tall casts a 60 foot long shadow. If a person looks down from the top of the building, what is the measure of the...
- Q The angle of elevation to a balloon is 12. If the balloon is directly above a point 10 kilometers away, what is the altitude of the balloon?
- Q 7. A ship drops anchor in a harbor. The anchor is 49 ft. above the surface of the water when it is released. Use the vertical motion formula for height...
- Q A kayak is seen floating down a creek. The kayak is first spotted 65 feet away. 9 seconds later the kayak is 15 feet away, making a 30 angle between...
- Q To determine the distance between two points A and B, a surveyor chooses a point C that is 215 yards from A and 565 yards from B. If <BAC has...
- Q [10pts.] A guy wire 77.4 m long is attached to top of an antenna mast that is 71.3 m high. Find the angle (of elevation) that the wire is making...
- Q Two docks are located on an east-west line 2589 ft apart. From dock A, the bearing of a coral reef is 6022'. From dock B, the bearing of the coral...
- Q Ryann and Lydia are taking canoe ride across Smithville lake. They can go 14 miles across the lake in the same time it takes them to go 9 miles back...
- Q Claire and Tate travel by plane to Orland. They notice that it takes a total of 5 hours to travel the 2100 miles round trip. If the plane flies at...
- Q Some creep dressed as a clown shot into a crowd at a carnival from a 30-story building 211 feet away. He hit a woman in the head about 5 feet...
- Q Corners are sliced of a unit cube so that the six faces become a regular octagon. The total volume of the removed tetrahedron is V. Then [100 V] is equal...
- Q An engineer designs a 70-foot cellular telephone tower. Find the angle of elevation to the top of the tower at a point on level ground 55 feet from its base.
- Q A plane takes off and travels at an angle of 25 north of east at 105 mph for 2 hours. It then adjusts its path to head 60 west of...
- Q A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of the balloon to be 75.8 and15.6....
- Q AU.S. Coast Guard Response Boat leaves Charleston, South Carolina at 1:00 p.m. heading dueeast at an average speed of 34 knots (nautical miles per hour). At 6:00 p.m., the boat...
- Q From a lookout Tower A, a column of smoke is sighted due south. From a second lookout Tower B, 5 miles west of A, the smoke is observed with a...
- Q Rachel walked 2.0 meters south. Then she made a right hand turn and walked 16.0meters west. She turned right again and walked 24.0 meters north. Then she turnedleft and walked...
- Q A piece of cardboard is 2.6 times as long as it is wide. It is to be made into a box with an open top by cutting 3-inch squares from...
- Q A hill on Oak Street has an angle of elevation of 11. A hill on Broadway Street has a 21% grade. Which hill is steeper?
- Q You are standing at the edge of a cliff. You look down with an angle of depression of 20 degrees and see a a dog at the bottom that is...
- Q Train A has a speed 15 miles per hour greater than that of train B. If train A travels 230 miles in the same times train B travels 200 miles,...
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