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A passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the east of the plane. The angles of depression to the towns are 𝛽 = 21° and 𝜃 = 59° (see figure). How far apart are the towns? (Round your answer to one decimal place.)
km
A conveyor is used to lift paper to a shredder. The most efficient operating angle of elevation for the conveyor is 37.8°. The paper is to be elevated 16.0 m. What length (in m) of conveyor is needed? (Round your answer to three significant digits.)
A bullet is found embedded in the wall of a room 3.2 m above the floor. The bullet entered the wall going upward at an angle of 34.3°. How far from the wall was the bullet fired if the gun was held 1.5 m above the floor?
Fire tower A is x = 29 kilometers due west of tower B. A fire is spotted from the towers, and the bearings from A and B are 𝜃 = N 78° E and φ = N 54° W, respectively (see figure). Find the distance d of the fire from the line segment AB. (Round your answer to two decimal places.)
A cadet rappelling down a cliff on a rope needs help. A cadet on the ground pulls tight on the end of the rope that hangs down from the rappelling cadet to lock the cadet in place. The length of the rope between the two cadets is 129 feet, and the angle of elevation of the rope is 75°. How high above the ground is the cadet on the rope? (Round your answer to two decimal places.)
Calculate temporary and total hardness of water sample of water
containing: Mg(HCO3)2=9.3 mg/l, Ca(HCO3)2=17.4 mg/l, MgCl2=8.7 mg/l and
CaSO4= 12.6 mg/l.
Solve for x when a,b and c are negative constants
1. (ax+b)/c≤b
2. If a>1 then prove that a²>1
Butanoic acid (C3H7COOH) is described as a weak acid. Define the term weak acid.
Use a diagram to illustrate and explain the effect of a credit rating downgrade in South Africa on the dollar-rand exchange rate.
The Mixing Department of Crown Cement has the following cost and production data for
the month of June. [10]
Costs:
Work in process, June 1
Direct materials: 100% complete
Conversion costs: 20% Complete
$90,000
60,000
Cost of work in process, June 1 150,000
Costs incurred during production in June
Direct materials
Conversion costs
$600,000
280,000
Costs incurred in April 880,000
Units transferred put totaled 15,000. Ending work in process was 1200that are 100%
complete as to material and 40% complete as to conversion costs.
Instructions
a. Compute the equivalent units of production for (1) materials and (2)
conversion costs for the month of June. [4]
b. Compute the unit costs for the month. [3]
c. Determine the costs to be assigned to the units transferred out and in ending
work in process.
#340153 on Dec 2023