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In triangle ABC, if the lengths of 2 sides are 25 & 50, the angle between these two sides is 30 degrees, what is the length of the third side of the triangle? Round off to the nearest whole numb
The angles of elevation of a balloon from two points A and B on level ground are 24.17 degrees and 47.67 degrees respectively. Points A and B are 8.4 miles apart, and the balloon is between the poin
The price of a garment is reduced by 20% and further by 10%. Nidhi got another 5% discount for detecting a defective button. The total discount for the garment is?
If a person breathes in and out every 3 seconds, the volume of air in his lungs can be modeled by A = 2sin(π/3x)cos(π/3x)+3, where A is in liters of air and x is seconds. How many seconds into
Question: Write an expression that gives all solutions to the equation. (Enter your answer in the form a + bπk, where a is in [0, π), b is the smallest possible positive number, and k represen
Then every fifth etc..... All the way to every 500th person having his palm status changed. In the end, how many of the 500 palms are up, and how many are down?
A student sits atop a platform a distance h above the ground. He throws a large firecracker horizontally with a speed v. However, a wind blowing parallel to the ground gives the firecracker a consta
A 120-kg mail bag hangs by a vertical rope 3.5 m long. A postal worker then displaces the bag to a position 2.0 m sideways from its original position, always keeping the rope taut. (a) What horizon
A centrifuge in a medical laboratory rotates at an angular speed of 3 600 rev/min. When switched off, it rotates 50.0 times before coming to rest. Find the constant angular acceleration of the centr
The premium per $1,000 was $3.56. She will be 45 years old this year. The premium per $1,000 will be $4.62. What is the percent increase to the nearest whole number?
What is the ratio of the maximum radial force on the laundry for the higher angular speed to that for the lower speed?
Our Sun is 2.3 x 104 ly (light-years) from the center of our Milky Way galaxy and is moving in a circle around that center at a speed of 250 km/s. (a) How long does it take the Sun to make one revolut
A car starts from rest and moves around a circular track of radius 30.0 m. Its speed increases at the constant rate of 0.500 m/s2
His partner, Tina (mass 50.0 kg), stands on an elevated platform located at the top of his trajectory. He grabs her as he flies by and the two fly off together. They land in a net at the same elevat
A river flows from south to north at 5.0 km/h. On this river, a boat is heading east to west perpendicular to the current at 7.0 km/h. As viewed by an eagle hovering at rest over the shore, how fast
A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 4.00 m to the north, 2.00 m northeast, and 1.00 m at 30.0° west of south. Starting at the same
A roller coaster car moves 200 ft horizontally, and then rises 135 ft at an angle of 30.0° above the horizontal. It then travels 135 ft at an angle of 40.0° downward. What is its displacemen
Question: We want to position a space probe along a line that extends directly toward the Sun in order to monitor solar flares. How far from Earth's center is the point on the line where the Sun's g
Bones and muscles a patient in therapy has a forearm that weighs 20.5 N and that lifts a 112.0-N weight. These two forces have direction vertically downward. The only other significant forces on his
While exploring a cave, a spelunker starts at the entrance and moves the following distances. She goes 75.0 m north, 250 m east, 125 m at an angle 30.0° north of east, and 150 m south. Find the
An atom with mass m emits a photon of wavelength A. What is the kinetic energy K of the recoiling atom?
A string fixed at both ends is 8.40 m long and has a mass of 0.120 kg. It is subjected to a tension of 96.0 N and set oscillating. (a) What is the speed of the waves on the string?
Question: An object having mass 900 kg and traveling at speed 0.850c collides with a stationary object having mass 1 400 kg. The two objects stick together. Find
A friend passes by you in a spacecraft traveling at a high speed. He tells you that his craft is 20.0 m long and that the identically constructed craft you are sitting in is 19.0 m long. According t
They also brought 4 can cans of sauce. each can weighed 8 oz. how many ounces did each of them carry if each carry the same amount?