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A box is 30 cm long, 8 cm wide and 12 cm high. Determine the length of the diagonal AB ? Round to the nearest tenth.
a. 34.5 cm
b. 32.1 cm
c. 35.2 cm
d. 33.3 cm
d. This problem needs two steps. First, determine the diagonal of the base of the box. Second, using this value, determine the length of the diagonal AB . To determine the diagonal of the base, use 30 cm as a leg of a right triangle, 8 cm as the second leg, and answer for the hypotenuse. Using the Pythagorean theorem, 302 + 82 = c2; 900 + 64 = c2; 964 = c2; c = 31.05. Now consider this newly get value as a leg of a right triangle, 12 cm as the second leg, and simplfy for the hypotenuse, A B ; 31.052 + 122 = AB2; 964 + 144 = AB2; 1,108 = AB2. AB = 33.3. If you select a, you used 30 and 12 as the calculation of the legs. If you select b, you answer the ?rst triangle correctly; however, you used 8 as the measure of one leg of the second triangle, which is incorrect.
A passenger jet took 3 hours to fly 1800 km in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the
1.If a+b=2b and ab+cd+ad=3bc,prove that a,b,c,d are in A.P 2.The nth term of an A.P is an+b.Find the sum of the series upto n terms.
A telephone exchange has two long distance operators.The telephone company find that during the peak load,long distance calls arrive in a poisson fashion at an average rate of 15 p
compare: 643,251: 633,512: 633,893. The answer is 633,512.
Two angles are supplementary. The evaluate of one is 30 more than twice the measure of the other. Determine the measure of the larger angle. a. 130° b. 20° c. 50° d. 70
a drawn picture on a graph that includes equations of each line
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Solve -10 cos(3t )= 7 on [-2,5]. Solution Let's first get the inverse cosine portion of this problem taken care of. cos(3 t )= - 7/10 ⇒ 3t = cos -1 ( - 7
In figure, the incircle of triangle ABC touches the sides BC, CA, and AB at D, E, and F respectively. Show that AF+BD+CE=AE+BF+CD= 1/2 (perimeter of triangle ABC), Ans:
calculation of emi %
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