Question 1.A 20 ft. ladder is placed against a wall that the foot of the ladder is 4 ft. from the base of the wall and in the same horizontal plane. Find what is the height does the ladder reached?2.When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a shadow of 150 ft. How high the derrick is?3.On the spelling test, Jorge missed 4 words and was marked 92%. Find out how many words are there in the test.4.Mrs. Silva spent 4/5 of her money and found she had P12 left. Find how much she had at first?     

please answer all Q4. The state of plane stress at a point is represented by the stress element as shown in Figure 04. (a) (b) Draw the Mohr circle for the element. (8 marks) By using Mohr circle, () determine principal stress and its angle from X plane and sketch the orientation of the element. (4 marks) (ii) determine maximum shear stress, corresponding normal stress and its angle from X plane and sketch the orientation of the element. (4 marks) (iii) determine the stresses on an element that is rotated at 30 clockwise and sketch the orientation of the element. (4 marks) (20 marks) 50 N/mm2 80 N/mm2 25 N/mm²

A R-12 compressor operates between evaporating temperature of 4 degrees C (hg = 353.18 KJ/kg , vg =0.4895)and condensing temperature of 43 degrees C (hf= 241. 6 KJ/kg ) . Determine the bore diameter of the 4 cylinder , 1000 rpm compressor if the piston speed is 200 m per minute and actual volumetric efficiency is 82% and refrigeration load is 25 tons. A 23 cm B 9.5 cm C. 8.5 cm D 10.5cm

The velocity function, in meters per second, is given for a particle moving along a straight line. (t)= v(t)=t-11f³+28t²; 0≤1≤7 (a) Find the displacement of the particle over the given time interval. Round to two decimal places. (b) Find the total distance that the particle travels over the given time interval. Round to two decimal places. The velocity function, in meters per second, is given for a particle moving along a straight line. (t)= v(t)=t-11f³+28t²; 0≤1≤7 (a) Find the displacement of the particle over the given time interval. Round to two decimal places. (b) Find the total distance that the particle travels over the given time interval. Round to two decimal places.

Use Ammonia properties of liquid and saturated vaport table A single-acting, twin-cylinder 15.25 x 15.25-cm compressor receives saturated ammonia vapor at -18°C and discharges it at 1514.3 kPa. The system is used to produce ice at a final temperature of -10°C from water at 27°C. The compressor runs at 450 rpm with an actual volumetric efficiency of 78%. Assume compression and mechanical efficiencies to be 82% and 88%, respectively. Calculate the following: (a)capacity of the system in tons of refrigeration, (b) brake hp required by the compressor, (c) tons of ice produced per day if compressor runs only 20 hours a day. Assume losses to be 10% of the refrigeration required to produce the ice, and (d) ideal and actual COP.

Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 2 + 4y2, 1<ys 2

Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 18 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by 1. V ft min